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New conditions for finite-time stability of impulsive dynamical systems via piecewise quadratic functions

IET Control Theory and Applications, ISSN: 1751-8652, Vol: 16, Issue: 13, Page: 1341-1351
2022
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Article Description

In this paper, the use of time-varying piecewise quadratic functions is investigated to characterize the finite-time stability of state-dependent impulsive dynamical linear systems. Finite-time stability defines the behavior of a dynamic system over a bounded time interval. More precisely, a system is said to be finite-time stable if, given a set of initial conditions, its state vector does not exit a predefined domain for a certain finite interval of time. This paper presents new sufficient conditions for finite-time stability based on time-varying piecewise quadratic functions. These conditions can be reformulated as a set of Linear Matrix Inequalities that can be efficiently solved through convex optimization solvers. Different numerical analysis are included in order to prove that the presented conditions are able to improve the results presented so far in the literature.

Bibliographic Details

Roberto Ambrosino; Francesco Amato; Marco Ariola; Gaetano Tartaglione; Emanuele Garone

Institution of Engineering and Technology (IET)

Engineering; Computer Science; Mathematics

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