Hybrid stabilization and synchronization of nonlinear systems with unbounded delays

Xinzhi Liu and Peter Stechlinski

Applied Mathematics and Computation, 2016, vol. 280, issue C, 140-161

Abstract: The stabilization of nonlinear systems with bounded and unbounded time-delays via hybrid control is studied. We investigate and identify switching rules for which stabilization can be verified a priori. When this approach is inadequate, stabilizing state-dependent switching rules are constructed. This method is based on partitioning the state-space into switching regions. Unwanted physical behavior, such as chattering and Zeno behavior, is avoided. Sufficient conditions are established using Razumikhin-like theorems. The theoretical results provide insight into how hybrid control strategies can be constructed to synchronize a class of nonlinear systems with unbounded delay. The findings are illustrated through numerical simulations.

Keywords: Hybrid systems; Switched systems; Time-delays; Stability; Synchronization; State-dependent switching (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:280:y:2016:i:c:p:140-161

DOI: 10.1016/j.amc.2016.01.023

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