Stability analysis of a class of switched linear systems on non-uniform time domains

Taousser, Fatima Zohra; Defoort, Michaël; Djemaï, Mohamed

doi:10.1016/j.sysconle.2014.09.012

Cited by 38 publications

(6 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Works considering guaranteed mode-dependent dwell time also provide sufficient conditions for stability or stabilizability in terms of LMIs or looped-functionals [7,13], which can be also extended to uncertain switching systems [38,39]. More generally, when the dwell time is not fixed, the systems under consideration fall into the class of switching systems on nonuniform time domains or time scales (see [35]).…”

Section: Introductionmentioning

confidence: 99%

Switching systems with dwell time: Computing the maximal Lyapunov exponent

Chitour

Guglielmi

Protasov

et al. 2021

Nonlinear Analysis: Hybrid Systems

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Switching systems with dwell time: Computing the maximal Lyapunov exponent

Chitour

Guglielmi

Protasov

et al. 2021

Nonlinear Analysis: Hybrid Systems

View full text Add to dashboard Cite

show abstract

“…However, there are applications of switched systems where their temporal nature cannot be represented by the continuous line or a discrete uniform time domain [11,12]. Indeed, a closed-loop system consisting of a continuous-time system and an intermittent controller is one application [13,14].…”

Section: Introductionmentioning

confidence: 99%

Input distinguishability of linear dynamic control systems

Younus

Asif

2019

Journal of Taibah University for Science

View full text Add to dashboard Cite

show abstract

“…In view of this advantage, reliable control has attracted the eyes of some researchers [7,8]. Switched systems, a vital class of hybrid systems, are concentrated by many scholars in recent decade [9][10][11][12][13][14][15]. The switching methods that are commonly used are arbitrary switching, state switching, and time switching.…”

Section: Introductionmentioning

confidence: 99%