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Analysis and design of switched normal systems. (English) Zbl 1119.34042
The stability for a class of switched systems composed of both continuous-time and discrete-time LTI normal subsystems are studied. The authors show that when all continuous-time systems are Hurwitz stable and all discrete-time subsystems are Schur stable, a common quadratic Lyapunov function V(x)=x T x exists for the subsystems and thus the switched system is exponentially stable under arbitrary switching. They also show that when unstable subsystems are involved, if the activation time ratio between unstable subsystems and stable ones is less than a specified value, then the switched system is exponentially stable with the desired decay rate.
Reviewer: Anh Cung (Hanoi)
34D20Stability of ODE
34A36Discontinuous equations