Finite‐Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps
Copyright policy )Finite‐Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps
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.
- Hubei University of Arts and Science China (People's Republic of)
Stabilization of systems by feedback, Nonlinear systems in control theory, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
Stabilization of systems by feedback, Nonlinear systems in control theory, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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