On stability of linear time-varying infinite-dimensional discrete-time systems
作者： K. Maciej Przyłuski , Stefan Rolewicz
DOI: 10.1016/S0167-6911(84)80042-0
关键词: Mathematics 、 Discrete time and continuous time 、 Stability theory 、 Spectral radius 、 Discrete system 、 Sequence 、 Combinatorics 、 Mathematical analysis 、 Operator (computer programming) 、 Linear system 、 Stability (probability)
摘要: The asymptotic behaviour of linear time-varying infinite-dimensional discrete-lime systems is considered. introduced notions are: weak power equistability, uniform l p -equistability, / -equistability and p(x) -equistability. It shown that they are identical. A generalization the concept spectral radius a single operator also proposed. proven any system uniformly equistable if only generalized sequence operators which define considered less than one.
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