Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Switching systems with dwell time: computation of the maximal Lyapunov exponent

Abstract : We study asymptotic stability of continuous-time systems with mode-dependent guaranteed dwell time. These systems are reformulated as special cases of a general class of mixed (discrete-continuous) linear switching systems on graphs, in which some modes correspond to discrete actions and some others correspond to continuous-time evolutions. Each discrete action has its own positive weight which accounts for its time-duration. We develop a theory of stability for the mixed systems; in particular, we prove the existence of an invariant Lyapunov norm for mixed systems on graphs and study its structure in various cases, including discrete-time systems for which discrete actions have inhomogeneous time durations. This allows us to adapt recent methods for the joint spectral radius computation (Gripenberg's algorithm and the Invariant Polytope Algorithm) to compute the Lyapunov exponent of mixed systems on graphs.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download
Contributor : Mario Sigalotti <>
Submitted on : Tuesday, December 24, 2019 - 6:04:53 PM
Last modification on : Monday, October 19, 2020 - 8:26:03 PM
Long-term archiving on: : Wednesday, March 25, 2020 - 3:08:12 PM


Files produced by the author(s)


  • HAL Id : hal-02423619, version 1
  • ARXIV : 1912.10214


Yacine Chitour, Nicola Guglielmi, Vladimir Protasov, Mario Sigalotti. Switching systems with dwell time: computation of the maximal Lyapunov exponent. 2019. ⟨hal-02423619⟩



Record views


Files downloads