The CSSystem toolbox

Stability analysis of discrete-time linear switching systems with constrained switching sequences.

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Constrained Switching Systems (CSSystems) are discrete-time linear switching systems
where the transition matrix belongs to a finite set of matrices and where only some
matrix products are allowed.
The Constrained Joint Spectral Radius (CJSR) characterizes the maximal asymptotic rate
of growth of a product of matrices that belongs to this set. It is known to be
very hard to compute.
This toolbox gives a few tools to approximate the CJSR, which allows to characterize
the (un)stability of a given CSSystem.

Cite As

Raphael Jungers (2026). The CSSystem toolbox (https://in.mathworks.com/matlabcentral/fileexchange/52723-the-cssystem-toolbox), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: The JSR toolbox

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0