Exponential stabilization of switched time-varying systems with delays and disturbances. (English) Zbl 1426.34101
Summary: This paper deals with exponential stabilization for a class of switched time-varying systems. By taking time-varying delays and nonlinear disturbances into consideration, time dependent switching signals have been characterized in terms of Metzler matrices such that the resulting system is globally exponentially stable. Compared with preceding works, we introduce a model transformation and an approach without involving the Lyapunov-Krasovskii functional to derive new exponential stability criteria for switched time-varying systems under the average dwell time switching. Numerical examples show that the obtained theoretical results can be applied to some cases not covered by some existing results.
MSC:
| 34K20 | Stability theory of functional-differential equations |
| 93D20 | Asymptotic stability in control theory |
| 34K34 | Hybrid systems of functional-differential equations |
Keywords:
exponential stabilization; switched time-varying system; time-varying delay; nonlinear disturbance; average dwell timeReferences:
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