Input-output criteria for stability and expansiveness of dynamical systems
作者：
Highlights：
• Nonuniform input-output conditions with pairs of weighted sequence spaces, relative to ergodic measures, for uniform and nonuniform exponential stability and for uniform and nouniform exponential expansiveness of discrete variational systems
• Criteria for uniform exponential stability and uniform exponential expansiveness in terms of input-output type properties along period orbits, with pairs of weighted sequence spaces
• Characterizations for uniform exponential stability and uniform exponential expansiveness of skew-product semiflows in terms of the solvability of an associated integral control system between weighted spaces of continuous functions
摘要
•Nonuniform input-output conditions with pairs of weighted sequence spaces, relative to ergodic measures, for uniform and nonuniform exponential stability and for uniform and nouniform exponential expansiveness of discrete variational systems•Criteria for uniform exponential stability and uniform exponential expansiveness in terms of input-output type properties along period orbits, with pairs of weighted sequence spaces•Characterizations for uniform exponential stability and uniform exponential expansiveness of skew-product semiflows in terms of the solvability of an associated integral control system between weighted spaces of continuous functions
论文关键词：Discrete variational system,Exponential stability,Exponential expansiveness,Discrete input-output system,Integral control system
论文评审过程：Received 19 January 2021, Revised 10 May 2021, Accepted 2 August 2021, Available online 10 September 2021, Version of Record 26 October 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126574
