Equivalent Theorems for Various Uniform Stabilities of Discrete-time Nonlinear Systems
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摘要: 证明了用K类函数表示的离散动力系统一致稳定和一致渐近稳定的等价定理,进而给出用KL函数刻划的一致渐近稳定判定定理及其逆定理.从而对于离散时间动力系统的扰动分析和相应控制问题研究莫定了严格的理论基础.Abstract: Equivalent theorems in terms of class K functions are presented for uniform stability and uniform asymptotic stability of discrete-time nonlinear systems. On the base of the equivalent theorems, the theorem of uniform asymptotic stability for the discrete-time nonlinear systems and its comverse theorem are also obtained.
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