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Stability Analysis for State-constrained Switched Systems with All Subsystems Unstable

Jian Li, Wen Li, and Qingyu Su*
International Journal of Control, Automation, and Systems, vol. 17, no. 10, pp.2482-2489, 2019

Abstract : This paper mainly investigates the state constrained switched system with fully unstable subsystems. By limiting the state in a unit hypercube, a sufficient condition is derived to ensure the stability of such systems via a time-dependent strategy. The main idea is to use positive switching behavior to compensate state divergence caused by unstable states and setting a different ascend rate when state constraints occur or not. In order to make the conditions computable for a continuous-time switched systems with state constraints, the discretized Lyapunov Function method is applied, then a numerical example is given to show the practicability of the proposed method.

Keyword : Dwell time, stability analysis, state constraints, switched systems.

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