Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
作者： D. Liu , A.N. Michel
DOI: 10.1109/81.199861
关键词: State (functional analysis) 、 Order (group theory) 、 Discrete time and continuous time 、 Mathematics 、 Positive-definite matrix 、 Mathematical analysis 、 Exponential stability 、 Saturation (graph theory) 、 Lyapunov function 、 Quadratic form
摘要: New results for an established the global asymptotic stability of equilibrium x=0 nth order discrete-time systems with state saturations, x(k+1)=sat(Ax(k)), utilizing a class positive definite and radially unbounded Lyapunov functions, v. When v is quadratic form, necessary sufficient conditions are obtained under which matrices H can be used to generate function v(w)=w/sup T/Hw properties that v(Aw(k)) negative semidefinite, v(sat(w)) >
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