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Communication Dans Un Congrès Année : 2020

Average Dwell-Time Bounds for ISS and Integral ISS of Switched Systems using Lyapunov Functions

Résumé

The problem of input-to-state stability (ISS), and its integral version (iISS), is considered for switched systems with inputs and resets. The individual subsystems are assumed to be ISS (resp. iISS) with nonlinear decay rates in dissipation inequalities associated with the Lyapunov function of each subsystem. The change in the value of Lyapunov functions at switching instants is described by a nonlinear growth function. A generalized lower bound is computed for average dwell-time (ADT) to guarantee ISS/iISS of the switched system. In particular, an explicit formula of ADT lower bound is given for switched bilinear systems with zero-input-stable subsystems.
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Dates et versions

hal-03070712 , version 1 (15-12-2020)

Identifiants

Citer

Shenyu Liu, Aneel Tanwani, Daniel Liberzon. Average Dwell-Time Bounds for ISS and Integral ISS of Switched Systems using Lyapunov Functions. 59th IEEE Conference on Decision and Control (CDC 2020), IEEE, Dec 2020, Jeju Island, South Korea. ⟨10.1109/CDC42340.2020.9304445⟩. ⟨hal-03070712⟩
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