Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 33, Issue 14, Pages 8570-8587Publisher
WILEY
DOI: 10.1002/rnc.6838
Keywords
finite-time input; output-to-state stability; mode-dependent average-dwell time; Razumikhin theorem; time delays
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This article investigates the finite-time input/output-to-state stability (FTIOSS) of stochastic switched nonlinear delay systems. It extends the well-known concepts of input/output-to-state stability to finite-time control problems. An unified FTIOSS criteron is established for stochastic switched systems, considering both stable and unstable switching signals. The efficacy of the obtained results is demonstrated by an example.
This article investigates the finite-time input/output-to-state stability (FTIOSS) of stochastic switched nonlinear delay systems (SSNDS). This article extends the well-known concepts of input/output-to-state stability to finite-time control problems. By using the finite-time stable function and generalized ?�Script capital L function, we establish an unified FTIOSS criteron for stochastic switched systems, where both stable and unstable switching signals are considered. Compare with the existing works, the main advantage is that the constructed Lyapunov function (LF) is permitted to own indefinite-derivative. Meanwhile, the Razumikhin technique and the mode-dependent average-dwell time (MDADT) approach are introduced to guarantee the FTIOSS of the system. The efficacy of the obtained results is demonstrated by an example.
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