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

Abstract EN

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.