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

Minsong Zhang | Zendy

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

Author(s) -

Minsong Zhang

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/904607

Subject(s) - mathematics , quadratic equation , nonlinear system , stability (learning theory) , bilinear interpolation , jump , lyapunov function , matrix (chemical analysis) , control theory (sociology) , computer science , control (management) , geometry , physics , statistics , materials science , quantum mechanics , machine learning , artificial intelligence , composite material

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

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