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The existence of homogeneous Lyapunov function for a stable homogeneous ordinary differential equation (ODE) is proven by V. Zubov in 1958 and refined by L. Rosier in 1992. The present paper proposes an extension of this...
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Characterizations (necessary and sufficient conditions) of finite-time and fixed-time stability of evolution inclusions in Banach spaces are presented in terms of Lyapunov functionals....
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This article presents a theoretical framework to study finite-time and fixed-time input-to-state stability of non-linear systems using the implicit Lyapunov function formulation. This approach allows to determine stabili...