MORLAB - Revision history

Werner at 02:43, 26 September 2023

2023-09-26T02:43:15Z

← Older revision		Revision as of 02:43, 26 September 2023
Line 7:		Line 7:
	[[file:MORLAB_Logo.png\|220px\|right\|MORLAB Logo]]		[[file:MORLAB_Logo.png\|220px\|right\|MORLAB Logo]]

	[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of ~~dense linear time-invariant continuous-time~~ systems.		[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dynamical systems. The implementation is based on spectral projection methods, like the matrix sign function and the matrix disk function, and on iterative low-rank solvers for large-scale sparse systems.
	The ~~toolbox contains model reduction methods for standard, descriptor and second-order systems~~ based on ~~the solution of matrix equations.~~
	~~Therefore, also~~ spectral projection ~~based~~ methods ~~for~~ the ~~solution of~~ the ~~corresponding~~ matrix ~~equations are included~~.

	== Features ==		== Features ==
	The following main features are provided in the latest release of the software (version '''5.0'''):		The following main features are provided in the latest release of the software (version '''5.0'''):

	'''Model reduction methods:'''		'''Model reduction methods for dense and sparse, first- and second-order, ODE and DAE systems:'''
	* ~~for continuous-time standard and descriptor systems (~~[[~~Modal~~ truncation~~\|MT~~]], [[~~Balanced Truncation~~\|BT]], FLBT, BST, LQGBT, PRBT, BRBT, HINFBT, TLBT, [[Hankel-Norm Approximation\|HNA]])		* [[Balanced Truncation\|Balanced truncation (BT)]]
	* ~~for discrete-time standard and descriptor systems ([[Modal truncation\|MT]], [[Balanced Truncation\|BT]], LQGBT)~~		* [[Modal truncation\|Modal truncation (MT)]]
	* ~~for continuous-time second~~-~~order systems (SOBT, SOFLBT, SOTLBT)~~		* Frequency-limited balanced truncation (FLBT)
			* Balanced stochastic truncation (BST)
			* Linear-quadratic Gaussian balanced truncation (LQGBT)
			* Positive-real balanced truncation (PRBT)
			* Bounded-real balanced truncation (BRBT)
			* H-infinity balanced truncation (HINFBT)
			* Time-limited balanced truncation (TLBT)
			* [[Hankel-Norm Approximation\|Hankel-norm approximation (HNA)]]
			* Krylov subspace methods
			* Two-step model reduction methods

	'''Matrix equation solvers:'''		'''Matrix equation solvers:'''
Line 45:		Line 52:

	* Official project website: https://www.mpi-magdeburg.mpg.de/projects/morlab		* Official project website: https://www.mpi-magdeburg.mpg.de/projects/morlab
	* Latest upload on Zenodo: https://zenodo.org/record/~~3332716~~		* Latest upload on Zenodo: https://zenodo.org/record/7072831

	== Contact ==		== Contact ==
	[[User:Werner\| Steffen Werner]]		[[User:Werner\| Steffen Werner]]

Werner at 14:15, 8 July 2020

2020-07-08T14:15:02Z

← Older revision		Revision as of 14:15, 8 July 2020
Line 35:		Line 35:
	== References ==		== References ==

			* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1007/978-3-030-52200-1_43 MORLAB -- A Model Order Reduction Framework in MATLAB and Octave]</span>, In A. M. Bigatti, J. Carette, J. H. Davenport, M. Joswig, and T. de Wolff, editors, Mathematical Software -- ICMS 2020, volume 12097 of Lecture Notes in Comput. Sci., pages 432--441. Springer International Publishing, Cham, 2020.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1002/pamm.201800083 Balancing related model reduction with the MORLAB toolbox]</span>, Proc. Appl. Math. Mech. 18 (1) (2018) e201800083.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1002/pamm.201800083 Balancing related model reduction with the MORLAB toolbox]</span>, Proc. Appl. Math. Mech. 18 (1) (2018) e201800083.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.

Werner: Updates to version 5.0.

2019-08-23T12:31:16Z

Updates to version 5.0.

← Older revision		Revision as of 12:31, 23 August 2019
Line 12:		Line 12:

	== Features ==		== Features ==
	The following main features are provided in the latest release of the software (version '''4.0'''):		The following main features are provided in the latest release of the software (version '''5.0'''):

	'''Model reduction methods:'''		'''Model reduction methods:'''
	* ~~Modal truncation method~~ ([[Modal truncation\|MT]])		* for continuous-time standard and descriptor systems ([[Modal truncation\|MT]], [[Balanced Truncation\|BT]], FLBT, BST, LQGBT, PRBT, BRBT, HINFBT, TLBT, [[Hankel-Norm Approximation\|HNA]])
	* Balancing related methods ([[Balanced Truncation\|BT]], FLBT, BST, LQGBT, PRBT, BRBT, HINFBT, TLBT)		* for discrete-time standard and descriptor systems ([[Modal truncation\|MT]], [[Balanced Truncation\|BT]], LQGBT)
	* ~~Hankel~~-~~norm approximation method~~ ([[~~Hankel-Norm Approximation~~\|~~HNA~~]])		* for continuous-time second-order systems (SOBT, SOFLBT, SOTLBT)

	'''Matrix equation solvers:'''		'''Matrix equation solvers:'''
	* Matrix sign function based solvers for continuous-time algebraic Lyapunov, Sylvester, Bernoulli and Riccati equations		* Matrix sign function based solvers for continuous-time algebraic Lyapunov, Sylvester, Bernoulli and Riccati equations
	* Newton~~-Kleinman~~ type solvers for continuous-time algebraic Riccati equations ~~with a negative quadratic term~~		* Newton type solvers for continuous-time and discrete-time algebraic Riccati equations
	* ~~Newton type~~ solvers for ~~continuous~~-time algebraic Riccati equations ~~with a positive quadratic term~~		* Smith iteration based solvers for discrete-time algebraic Lyapunov and Sylvester equations
	* Riccati iteration based solver for continuous-time algebraic Riccati equations with an indefinite quadratic term		* Structure-preserving doubling based solvers for discrete-time Riccati equations
			* Riccati iteration-based solver for continuous-time algebraic Riccati equations with an indefinite quadratic term

	'''Further methods:'''		'''Further methods:'''
			* Routines for frequency and time evaluation and visualization
	* Routines for the additive decomposition of transfer functions of linear systems		* Routines for the additive decomposition of transfer functions of linear systems
	* Partial stabilization of linear systems		* Partial stabilization of linear systems
Line 42:		Line 44:

	* Official project website: https://www.mpi-magdeburg.mpg.de/projects/morlab		* Official project website: https://www.mpi-magdeburg.mpg.de/projects/morlab
	* Latest upload on Zenodo: https://zenodo.org/record/~~1574083~~		* Latest upload on Zenodo: https://zenodo.org/record/3332716

	== Contact ==		== Contact ==
	[[User:Werner\| Steffen Werner]]		[[User:Werner\| Steffen Werner]]

Werner at 14:35, 19 December 2018

2018-12-19T14:35:42Z

← Older revision		Revision as of 14:35, 19 December 2018
Line 33:		Line 33:
	== References ==		== References ==

	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1002/pamm.201800083 Balancing related model reduction with the MORLAB toolbox]</span>, Proc. Appl. Math. Mech. 18 (1), 2018.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1002/pamm.201800083 Balancing related model reduction with the MORLAB toolbox]</span>, Proc. Appl. Math. Mech. 18 (1) (2018) e201800083.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf MORLAB - Modellreduktion in MATLAB]</span>, in: T. Meurer, F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 ’Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ’Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, 2017, pp. 508--517.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf MORLAB - Modellreduktion in MATLAB]</span>, in: T. Meurer, F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 ’Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ’Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, 2017, pp. 508--517.

Werner: Added new reference.

2018-12-19T09:47:35Z

Added new reference.

← Older revision		Revision as of 09:47, 19 December 2018
Line 33:		Line 33:
	== References ==		== References ==

			* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1002/pamm.201800083 Balancing related model reduction with the MORLAB toolbox]</span>, Proc. Appl. Math. Mech. 18 (1), 2018.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
	* P. Benner, S. W. R. Werner, <span class="plainlinks">[http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf MORLAB - Modellreduktion in MATLAB]</span>, in: T. Meurer, F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 ’Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ’Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, 2017, pp. 508--517.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf MORLAB - Modellreduktion in MATLAB]</span>, in: T. Meurer, F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 ’Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ’Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, 2017, pp. 508--517.

Werner: Adapted to version 4.0.

2018-12-06T12:01:23Z

Adapted to version 4.0.

Werner: Added reference.

2018-09-14T08:30:30Z

Added reference.

← Older revision		Revision as of 08:30, 14 September 2018
Line 33:		Line 33:

	* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
			* P. Benner, S. W. R. Werner, <span class="plainlinks">[http://www.control.tf.uni-kiel.de/files/gma/2017/Tagungsband2017.pdf MORLAB - Modellreduktion in MATLAB]</span>, in: T. Meurer, F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 ’Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ’Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, 2017, pp. 508--517.
	* P. Benner, <span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB repository for model reduction based on spectral projection]</span>, in: 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006, pp. 19--24.		* P. Benner, <span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB repository for model reduction based on spectral projection]</span>, in: 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006, pp. 19--24.
	* P. Benner, E. S. Quintana-Ortı́, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_1 Model reduction based on spectral projection methods]</span>, in: P. Benner, V. Mehrmann, D. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin/Heidelberg, Germany, 2005, pp. 5--45.		* P. Benner, E. S. Quintana-Ortı́, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_1 Model reduction based on spectral projection methods]</span>, in: P. Benner, V. Mehrmann, D. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin/Heidelberg, Germany, 2005, pp. 5--45.

Werner: Added new references, increased Logo.

2018-09-13T16:35:13Z

Added new references, increased Logo.

← Older revision		Revision as of 16:35, 13 September 2018
Line 5:		Line 5:
	[[Category:Octave]]		[[Category:Octave]]

	[[file:MORLAB_Logo.png\|~~150px~~\|right\|MORLAB Logo]]		[[file:MORLAB_Logo.png\|220px\|right\|MORLAB Logo]]

	[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.		[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.
Line 32:		Line 32:
	== References ==		== References ==

	* P. Benner. "<span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB ~~Repository~~ for ~~Model Reduction Based~~ on ~~Spectral Projection~~]</span>~~". Proceedings of the~~ 2006 IEEE Conference on Computer-Aided Control ~~Systems~~ Design, ~~Munich~~, ~~Germany~~, ~~October 4-6~~ pp. 19--24, ~~2006~~.		* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
			* P. Benner, <span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB repository for model reduction based on spectral projection]</span>, in: 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006, pp. 19--24.
			* P. Benner, E. S. Quintana-Ortı́, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_1 Model reduction based on spectral projection methods]</span>, in: P. Benner, V. Mehrmann, D. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin/Heidelberg, Germany, 2005, pp. 5--45.

	== Links ==		== Links ==

Werner: Added logo and link list, corrected feature list and added new categories MATLAB and Octave.

2018-03-16T12:36:05Z

Added logo and link list, corrected feature list and added new categories MATLAB and Octave.

← Older revision		Revision as of 12:36, 16 March 2018
Line 2:		Line 2:
	[[Category:Dense]]		[[Category:Dense]]
	[[Category:Linear algebra]]		[[Category:Linear algebra]]
			[[Category:MATLAB]]
			[[Category:Octave]]

	[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [~~http~~://de.mathworks.com/products/matlab.html MATLAB] routines for model order reduction of dense linear time-invariant continuous-time systems.		[[file:MORLAB_Logo.png\|150px\|right\|MORLAB Logo]]

			[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.
	The toolbox contains model reduction methods for standard and descriptor systems based on the solution of matrix equations.		The toolbox contains model reduction methods for standard and descriptor systems based on the solution of matrix equations.
	Therefore, also spectral projection based methods for the solution of the corresponding matrix equations are included.		Therefore, also spectral projection based methods for the solution of the corresponding matrix equations are included.

	== ~~Methods~~ ==		== Features ==
	The following main ~~methods~~ are provided in the latest release of the software (version 3.0):		The following main features are provided in the latest release of the software (version '''3.0'''):

	'''Model reduction methods:'''		'''Model reduction methods:'''
Line 17:		Line 21:
	'''Matrix equation solvers:'''		'''Matrix equation solvers:'''
	* Matrix sign function based solvers for continuous-time Lyapunov, Sylvester and algebraic Bernoulli equations		* Matrix sign function based solvers for continuous-time Lyapunov, Sylvester and algebraic Bernoulli equations
	* Newton-Kleinman type solvers for the continuous-time algebraic Riccati ~~equation~~		* Newton-Kleinman type solvers for the continuous-time algebraic Riccati equations with negative quadratic term
	* ~~Riccati iteration solver~~ for ~~the~~ algebraic Riccati equation with ~~indefinite~~ quadratic ~~terms~~		* Newton type solvers for continuous-time algebraic Riccati equation with positive quadratic term

	'''Further methods:'''		'''Further methods:'''
Line 29:		Line 33:

	* P. Benner. "<span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB Repository for Model Reduction Based on Spectral Projection]</span>". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19--24, 2006.		* P. Benner. "<span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB Repository for Model Reduction Based on Spectral Projection]</span>". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19--24, 2006.

			== Links ==

			* Official website: https://www.mpi-magdeburg.mpg.de/projects/morlab
			* Latest upload on Zenodo: https://zenodo.org/record/842659

	== Contact ==		== Contact ==
	[[User:Werner\| Steffen Werner]]		[[User:Werner\| Steffen Werner]]

Himpe: /* References */

2018-02-15T12:13:23Z

References

← Older revision		Revision as of 12:13, 15 February 2018
Line 28:		Line 28:
	== References ==		== References ==

	* P. Benner. "<span class="plainlinks">[https://~~www~~-~~user.tu~~-~~chemnitz~~.~~de/~benner/pub/morlab~~.~~pdf~~ A MATLAB Repository for Model Reduction Based on Spectral Projection]</span>". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19-24, ~~IEEE~~ 2006.		* P. Benner. "<span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB Repository for Model Reduction Based on Spectral Projection]</span>". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19--24, 2006.

	== Contact ==		== Contact ==
	[[User:Werner\| Steffen Werner]]		[[User:Werner\| Steffen Werner]]

← Older revision		Revision as of 12:01, 6 December 2018
Line 8:		Line 8:

	[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.		[http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.
	The toolbox contains model reduction methods for standard and ~~descriptor~~ systems based on the solution of matrix equations.		The toolbox contains model reduction methods for standard, descriptor and second-order systems based on the solution of matrix equations.
	Therefore, also spectral projection based methods for the solution of the corresponding matrix equations are included.		Therefore, also spectral projection based methods for the solution of the corresponding matrix equations are included.

	== Features ==		== Features ==
	The following main features are provided in the latest release of the software (version '''3.0'''):		The following main features are provided in the latest release of the software (version '''4.0'''):

	'''Model reduction methods:'''		'''Model reduction methods:'''
	* Modal truncation method ([[Modal truncation\|MT]])		* Modal truncation method ([[Modal truncation\|MT]])
	* Balancing related methods ([[Balanced Truncation\|BT]], BST, LQGBT, PRBT, BRBT, ~~HinfBT~~)		* Balancing related methods ([[Balanced Truncation\|BT]], FLBT, BST, LQGBT, PRBT, BRBT, HINFBT, TLBT)
	* Hankel-norm approximation method ([[Hankel-Norm Approximation\|HNA]])		* Hankel-norm approximation method ([[Hankel-Norm Approximation\|HNA]])

	'''Matrix equation solvers:'''		'''Matrix equation solvers:'''
	* Matrix sign function based solvers for continuous-time Lyapunov, Sylvester and ~~algebraic Bernoulli~~ equations		* Matrix sign function based solvers for continuous-time algebraic Lyapunov, Sylvester, Bernoulli and Riccati equations
	* Newton-Kleinman type solvers for ~~the~~ continuous-time algebraic Riccati equations with negative quadratic term		* Newton-Kleinman type solvers for continuous-time algebraic Riccati equations with a negative quadratic term
	* Newton type solvers for continuous-time algebraic Riccati ~~equation~~ with positive quadratic term		* Newton type solvers for continuous-time algebraic Riccati equations with a positive quadratic term
			* Riccati iteration based solver for continuous-time algebraic Riccati equations with an indefinite quadratic term

	'''Further methods:'''		'''Further methods:'''
Line 39:		Line 40:
	== Links ==		== Links ==

	* Official website: https://www.mpi-magdeburg.mpg.de/projects/morlab		* Official project website: https://www.mpi-magdeburg.mpg.de/projects/morlab
	* Latest upload on Zenodo: https://zenodo.org/record/~~842659~~		* Latest upload on Zenodo: https://zenodo.org/record/1574083

	== Contact ==		== Contact ==
	[[User:Werner\| Steffen Werner]]		[[User:Werner\| Steffen Werner]]