斜演化半流一致指数稳定的容许性刻画

Admissibility Characterization for the Uniform Exponential Stability of Skew-Evolution Semiflows

主要研究Banach空间中斜演化半流的一致指数稳定性与函数空间对(L^(1)(V),L^(∞)(V)),(L^(p)(V),L^(q)(V))(p,q≠(1,∞))的容许性之间的联系.借助“输入-输出”方法与泛函分析相关工具得到了斜演化半流满足一致指数稳定的充分条件.所得结论推广了指数稳定性理论中的已有结果.

The connection between the uniform exponential stability of a skew-evolution semi-flow and the admissibility of the pairs of function spaces(L^(1)(V),L^(∞)(V))and(L^(p)(V),L^(q)(V))(p,q≠(1,∞))is studied.The sufficient condition for uniform exponential stability is obtained via input-output method and functional analysis tools.The results extend some well-known conclusions in exponential stability theory.