A simple loop dwell time approach for stability of switched systems. (English) Zbl 1393.37102
The author introduces a novel concept of simple loop dwell time and use it to give sufficient conditions for the stability of a continuous-time linear switched system where the switching between the subsystems is governed by an underlying graph. He presents a slow-fast switching mechanism to ensure stability of the system. He also considers switched systems with both stable and unstable subsystems, and obtain bounds on the dwell time in the stable subsystem and flee time from the unstable subsystem that guarantee the stability of the system.
Reviewer: Kaïs Ammari (Monastir)
MSC:
| 37N35 | Dynamical systems in control |
| 68R05 | Combinatorics in computer science |
| 93D20 | Asymptotic stability in control theory |
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