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Dwell-time control sets and applications to the stability analysis of linear switched systems. (English) Zbl 1433.93095

In this paper, the authors investigate the dwell-time control sets and applications to the stability analysis of linear switched systems. They first present main results on linear switched systems, then definitions and construction of dwell-time control sets, and establish their basic properties and illustrate them on a simple example on the projective circle. Finally, the authors relate dwell-time control sets and the support of invariant measures for the piecewise deterministic dwell-time random process.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C05 Linear systems in control theory
93C43 Delay control/observation systems
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