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

Abstract : This paper deals with the stability analysis of a class of switched linear systems on non-uniform time domains. The considered class consists of a set of linear continuous-time and linear discrete-time subsystems. First, some conditions are derived to guarantee the exponential stability of this class of systems on time scales with bounded graininess function when the subsystems are exponentially stable. These results are extended when considering an unstable discrete time subsystem or an unstable continuous-time subsystem. Some examples illustrate these results.
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Submitted on : Monday, March 29, 2021 - 3:34:45 PM
Last modification on : Tuesday, October 19, 2021 - 6:38:17 PM

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Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai. Stability analysis of a class of switched linear systems on non-uniform time domains. Systems & Control Letters, 2014, 74, pp.24-31. ⟨10.1016/j.sysconle.2014.09.012⟩. ⟨hal-03184540⟩

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