A classification of dynamical systems
Janina Kłapyta (1991)
Annales Polonici Mathematici
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Janina Kłapyta (1991)
Annales Polonici Mathematici
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Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Andrea Bacciotti, Francesca Ceragioli (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study stability and stabilizability properties of systems with discontinuous righthand side (with solutions intended in Filippov's sense) by means of locally Lipschitz continuous and regular Lyapunov functions. The stability result is obtained in the more general context of differential inclusions. Concerning stabilizability, we focus on systems affine with respect to the input: we give some sufficient conditions for a system to be stabilized by means of a feedback law of the...