A DISCRETE-TIME LYAPUNOV THEOREM FOR THE EXPONENTIAL INSTABILITY OF C_0-SEMIGROUPS

Ciprian Preda

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A DISCRETE-TIME LYAPUNOV THEOREM FOR THE EXPONENTIAL INSTABILITY OF C_0-SEMIGROUPS

机译：C_0-半群的指数不稳定性的离散Lyapunov定理

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摘要

A discrete-time Lyapunov approach is proposed to study the exponential insta-bility of Co -semigroups. Also, some continuous-time Lyapunov conditions are established.

机译：提出了一种离散时间李雅普诺夫方法来研究Co-半群的指数不稳定性。同样，建立了一些连续时间的Lyapunov条件。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2010年第1期|共8页
作者
Ciprian Preda;
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正文语种 eng
中图分类数学;
关键词
Abstract Cauchy problem; one-parameter semigroup; exponen-tial instability; Datko's theorem; Lyapunov operator equation;

机译：摘要Cauchy问题;一参数半群;指数不稳定性;Datko定理;Lyapunov算子方程;

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专利

1. A DISCRETE-TIME LYAPUNOV THEOREM FOR THE EXPONENTIAL INSTABILITY OF C_0-SEMIGROUPS [J] . Ciprian Preda Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2010,第1期

机译：C_0-半群的指数不稳定性的离散Lyapunov定理
2. Lyapunov theorems for exponential dichotomies in Hilbert spaces [J] . Dragicevic Davor, Preda Ciprian International journal of mathematics . 2016,第4期

机译：Hilbert空间中指数二分法的Lyapunov定理
3. New converse Lyapunov theorems and related results on exponential stability [J] . Corless M., Glielmo L. Mathematics of Control, Signals, and Systems: MCSS . 1998,第1期

机译：新的逆Lyapunov定理和指数稳定性的相关结果
4. The Converse Theorem of Lyapunov Exponential Stability Theorem [C] . Yanjuan Zhang, Chunyan Ding, Shaohong Yan International Conference on Smart Materials and Intelligent Systems . 2011

机译：Lyapunov指数稳定性定理的逆转定理
5. Limit theorems for random exponential sums and their applications to insurance and the random energy model [D] . Erturk, Huseyin. 2016

机译：随机指数和的极限定理及其在保险和随机能量模型中的应用
6. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [O] . Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu 2013

机译：基于不可逆线性离散系统的Lyapunov函数的非均匀指数二分法
7. Converse Lyapunov theorems for discrete-time linear switching systems with regular switching sequences [O] . Philippe, Matthew, Jungers, Raphaël M., ECC'15 2015

机译：具有规则切换序列的离散时间线性切换系统的逆Lyapunov定理
8. Some Theorems on the Instability of the Exponential Back-Off Protocol [R] . Rosenkrantz, W. A. 1984

机译：关于指数退避协议不稳定性的几个定理

A DISCRETE-TIME LYAPUNOV THEOREM FOR THE EXPONENTIAL INSTABILITY OF C_0-SEMIGROUPS

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