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Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems

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3 Author(s)
Amato, F. ; Sch. of Comput. & Biomed. Eng., Univ. degli Studi Magna Graecia di Catanzaro, Catanzaro, Italy ; Cosentino, C. ; Merola, A.

In this paper we deal with the finite-time stability problem for quadratic systems. Such class of systems plays an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). The main results of the paper consist of two sufficient conditions for finite-time stability analysis and finite-time stabilization via static state feedback; both conditions are given in terms of the feasibility of a convex optimization problem, involving linear matrix inequalities. A numerical example illustrates the applicability of the proposed technique.

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Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 2 )