Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems.

Haddad, Wassim M.; Chellaboina, Vijaysekhar

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Finite-time boundedness and stabilization of switched linear systems

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In this paper, finite-time boundedness and stabilization problems for a class of switched linear systems with time-varying exogenous disturbances are studied. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to switched linear systems. Then, based on matrix inequalities, some sufficient conditions under which the switched linear systems are finite-time bounded and uniformly finite-time bounded are given. Moreover, to solve the finite-time stabilization...