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**Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems.**
*(English)*
Zbl 1017.93097

The authors establish quadratic Lyapunov-like functions for the qualitative analysis of switched systems. For a class of switched systems consisting of two unstable second-order linear time-invariant subsystems, the authors study some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions with associated switching regions. In addition, existence conditions and the construction of such quadratic Lyapunov like functions are established by using conic switching laws.

Reviewer: Seenith Sivasundaram (Daytona Beach)

### Keywords:

quadratic Lyapunov-like functions; switched systems; common Lyapunov functions; conic switching laws
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\textit{B. Hu} et al., Int. J. Control 75, No. 14, 1127--1135 (2002; Zbl 1017.93097)

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### References:

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