Lyapunov Type Theorems for Exponential Stability of Linear Skew-Product Three-Parameter Semiflows with Discrete Time

被引：6

作者：

Dragicevic, Davor ^{[1
]}

Preda, Ciprian ^{[2
,3
]}

机构：

[1] Univ Rijeka, Dept Math, Radmile Matejcic 2, Rijeka 51000, Croatia

[2] West Univ Timisoara, Fac Math & Comp Sci, Dept Math, V Parvan Blvd 4, Timisoara 300223, Romania

[3] Romanian Acad, Inst Econ Forecasting, Bucharest 050711, Romania

来源：

AXIOMS | 2020年 / 9卷 / 02期

关键词：

exponential stability; linear skew-product semiflows; Lyapunov functions; DICHOTOMIES; BEHAVIOR; SPACES; DATKO;

D O I：

10.3390/axioms9020047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For linear skew-product three-parameter semiflows with discrete time acting on an arbitrary Hilbert space, we obtain a complete characterization of exponential stability in terms of the existence of appropriate Lyapunov functions. As a nontrivial application of our work, we prove that the notion of an exponential stability persists under sufficiently small linear perturbations.

引用

页数：12

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