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- W2359591777 abstract "The existence of the common quadratic Lyapunov functions of a set of second order linear systems is investigated.For a set of given second order linear systems ∑Ai:x(t)=Aix(t),where Ai∈R2×2 is Hurwitz matrix,it is proved that there exist common quadratic Lyapunov functions.The proposed sufficient conditions of the existence of common quadratic Lyapunov functions are obtained in form of algebra inequalities.And the method of seeking a common quadratic Lyapunov function is also given.It is convenient to verify the conditions by computer programming.Finally,numerical examples are given to show the effectiveness of the obtained results." @default.
- W2359591777 created "2016-06-24" @default.
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- W2359591777 date "2012-01-01" @default.
- W2359591777 modified "2023-09-25" @default.
- W2359591777 title "Common Quadratic Lyapunov Functions for Second Order Linear Systems" @default.
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