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In this paper the problem of input-output finite-time stability (IO-FTS) and stabilization of linear time-varying systems is dealt with. The classical definition of IO-FTS is extended to that one of structured IO-FTS, since this allows to incorporate, in the definition of the stabilization problem, some amplitude constraints on the control input variables. A necessary and sufficient condition and...
The concept of Input-Output Finite Time Stability (IO-FTS) is extended to time-dependent switching linear systems, which are systems with different continuous dynamics and that can exhibit state jumps driven by time. Sufficient conditions are given for the analysis of IO-FTS in the case of certain and uncertain resetting times. The presented results require to solve feasibility problems involving...
When only the input-output behavior of a dynamical system is of concern, usually Bounded-Input Bounded-Output (BIBO) stability is studied, for which several results exist in literature. The present paper investigates the analogous concept in the framework of Finite Time Stability (FTS), namely the Input-Output FTS. A system is said to be IO finite time stable if, assigned a bounded input class and...
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