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Stability of time-varying switched systems with time-varying delay

Nonlinear Analysis: Hybrid Systems, 2009
The author first gives a generalization of Halanay's inequality, and then uses this inequality to obtain sufficient conditions for the stability of the following switched delay system \[ x'(t)=A_{\sigma_i}(t)x(t)+B_{\sigma_i}(t)x(t-\tau(t))+\int_{t_0}^t f_{\sigma_i}(t-s)x(s)ds, \] where \[ x(t)\in \mathbb R^n, A_{\sigma_i}(t), B_{\sigma_i}(t)\in ...
Piyapong Niamsup
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