Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps

Minsong Zhang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-5

Abstract:

This paper investigates the problems of finite-time stability and finite-time stabilization for nonlinear quadratic systems with jumps. The jump time sequences here are assumed to satisfy some given constraints. Based on Lyapunov function and a particular presentation of the quadratic terms, sufficient conditions for finite-time stability and finite-time stabilization are developed to a set containing bilinear matrix inequalities (BLIMs) and linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed methodology.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:904607

DOI: 10.1155/2014/904607

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