The SLICOT Basic Systems and Control Toolbox (SLICOT-BasicControl) includes SLICOT
-based MATLAB and Fortran tools for solving efficiently and reliably various basic computational problems for linear time-invariant multivariable systems analysis and synthesis. Standard and generalised (descriptor) state space systems are covered.
The main functionalities of the toolbox include:
- similarity and equivalence transformations for standard and descriptor systems
- essential computations with structured matrices, including
- eigenvalues of a Hamiltonian matrix or of a skew-Hamiltonian/Hamiltonian pencil
- Periodic Hessenberg and periodic Schur decompositions
- computations with (block) Toeplitz matrices and systems
- analysis of standard and descriptor systems
- solution of Lyapunov and Riccati equations with condition estimation
- coprime factorization and spectral decomposition of transfer-function matrices
The toolbox main features are:
- computational reliability using square-root and balancing-free accuracy enhancing
- high numerical efficiency, using latest algorithmic developments, structure exploiting algorithms, and dedicated linear algebra tools
- flexibility and easy-of-use
- enhanced functionality, e.g, for controller reduction
- standardized interfaces
The programs have been extensively tested on various test examples and are fully documented.
The codes have been tested with MATLAB 2015b through 2021b. To use the functions, the Control System Toolbox must be installed in MATLAB running under 64-bit Windows 7, 8, 8.1 or 10.
- See
LICENSEfor licensing information.
Please cite SLICOT-BasicControl using at least one of the following references:
- P. Benner, D. Kressner, V, Sima, and A. Varga, The SLICOT Toolboxes - a Survey, SLICOT Working Note 2009-1, August 2009.
- P. Benner, D. Kressner, V. Sima, A. Varga, Die SLICOT-Toolboxen für Matlab - The SLICOT Toolboxes for Matlab (in German), at – Automatisierungstechnik, 58 (2010).