SLICOT Basic Systems and Control Toolbox 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
  • high numerical efficiency using latest algorithmic developments, structure exploiting algorithms, and dedicated linear algebra tools
  • flexibility and easy-of-use;
  • standardized interfaces

The programs have been extensively tested on various test examples and are fully documented.


SLICOT Toolboxes for MATLAB are subject to a license fee and require an individual license agreement. Find detailed information at the according website or contact This email address is being protected from spambots. You need JavaScript enabled to view it. directly.


Vasile Sima,  March 10, 2005  Updated: November 29, 2010