Stability criteria for LPV time-delayed systems: the delay-independent case

机译：LPV延时系统的稳定标准：延迟无关的情况

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This paper analyzes the stability of Linear Parameter Varying (LPV) time-delayed systems. Several delay-independent stability conditions are presented, which are derived using appropriately selected Lyapunov-Krasovskii functionals. Depending on the system parameter dependence, these functionals can be selected to obtain increasingly non-conservative results. Using relaxation methods and gridding techniques these stability tests can be cast as Linear Matrix Inequalities (LMI's). These LMI's can be solved efficiently using available software.

机译：本文分析了线性参数变化（LPV）时间延迟系统的稳定性。 Several delay-independent stability conditions are presented, which are derived using appropriately selected Lyapunov-Krasovskii functionals.根据系统参数依赖性，可以选择这些功能以获得越来越保守的结果。使用弛豫方法和网格化技术这些稳定性测试可以作为线性矩阵不等式（LMI）铸造。这些LMI可以有效地使用可用的软件来解决。

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来源
《IFAC Workshop on Linear Time Delay Systems》|2001年||共6页
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作者
Xiping Zhang; Panagiotis Tsiotras; Carl Knospe;
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中图分类 TP273-53;
关键词
Time-delay; Stability; Analysis; Linear systems; Parameters;

机译：延时;稳定性;分析;线性系统;参数;

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专利

1. Stability analysis of LPV time-delayed systems [J] . Zhang XP., Tsiotras P., Knospe C. International Journal of Control . 2002,第7期

机译：LPV时滞系统的稳定性分析
2. Delay-independent stability criteria under arbitrary switching of a class of switched nonlinear time-delay systems [J] . Marwen Kermani, Anis Sakly Advances in Difference Equations . 2015,第1期

机译：一类切换非线性时滞系统任意切换下与时滞无关的稳定性判据
3. Easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems [J] . Wei P, Guan Q, Yu WS, Systems and Control Letters . 2008,第2期

机译：一类中立型微分系统的时滞无关稳定性的易于检验的必要和充分代数准则
4. Stability criteria for LPV time-delayed systems: the delay-independent case [C] . Xiping Zhang, Panagiotis Tsiotras, Carl Knospe IFAC Workshop on Linear Time Delay Systems . 2001

机译：LPV延时系统的稳定标准：延迟无关的情况
5. Stability of stochastic time-delayed systems with application to delayed feedback attitude control of rigid spacecraft [D] . Samiei, Ehsan 2015

机译：随机时滞系统的稳定性及其在刚性航天器延迟反馈姿态控制中的应用
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Delay-independent stability criteria under arbitrary switching of a class of switched nonlinear time-delay systems [O] . Marwen Kermani, Anis Sakly 2015

机译：一类切换非线性时滞系统任意切换下与时滞无关的稳定性判据

Stability criteria for LPV time-delayed systems: the delay-independent case

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