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There has been renewed interest in the use of polynomial and homogeneous polynomial Lyapunov functions for addressing stability and performance issues in systems and control theory. However, no condition is yet available to establish the convexity of these functions and the convexity of their sublevel sets, properties that can be useful in many applications. In this paper, new conditions for establishing...
Using the vector projection theory, the exponential stability of autonomous switched systems is investigated. Firstly, the sufficient conditions of stability of linear switched systems is presented. Furthermore, the sufficient conditions of stability of nonlinear switched systems is extended under some conditions. Compared with the Lyapunov function method currently used, this approach is more applicable...
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