Delay independent stability conditions and decay estimates fortime-varying functional differential equations

Lehman B.; Shujaee K.

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Delay independent stability conditions and decay estimates fortime-varying functional differential equations

机译：时变函数微分方程的时滞独立稳定性条件和衰减估计

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This paper presents sufficient delay independent conditions that guarantee stability of nonlinear time varying functional differential equations (FDE's). Estimates on the rate of decay of solutions are also obtained

机译：本文提出了足够的独立于延迟的条件，以保证非线性时变泛函微分方程（FDE's）的稳定性。还可以获得溶液衰减率的估计值

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《IEEE Transactions on Automatic Control》 |1994年第8期|p.1673-1676|共4页
作者
Lehman B.; Shujaee K.;
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正文语种 eng
中图分类自动化系统;
关键词
delay-differential systems; differential equations; functional equations; nonlinear control systems; stability; time-varying systems; decay estimates; delay independent stability conditions; rate of decay; time-varying functional differential equations;

机译：时滞-微分系统;微分方程;功能方程;非线性控制系统;稳定性;时变系统;衰减估计;时滞独立稳定条件;衰减率;时变泛函微分方程;

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专利

1. Delay independent stability conditions and decay estimates for time-varying functional differential equations [J] . Lehman B., Shujaee K. IEEE Transactions on Automatic Control . 1994,第8期

机译：时变函数微分方程的时滞独立稳定性条件和衰减估计
2. Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay [J] . Pavlovi? G., Jankovi? S. Journal of Computational and Applied Mathematics . 2012,第7期

机译：无限时滞随机泛函微分方程的一般衰减稳定性的Razumikhin型定理
3. General Decay Stability for Stochastic Functional Differential Equations with Infinite Delay [J] . Yue Liu, Xuejing Meng, Fuke Wu International journal of stochastic analysis . 2011,第1期

机译：无限时滞随机泛函微分方程的一般衰减稳定性
4. Delay-independent global convergence in time-varying monotone systems of delay differential equations satisfying a scalability condition [C] . Devane Eoin, Lestas Ioannis IEEE Annual Conference on Decision and Control . 2014

机译：满足可伸缩性条件的时滞微分方程的时变单调系统的时滞无关全局收敛
5. Instability and stability for functional differential equations. [D] . Zhao, Jiaxiang. 1996

机译：泛函微分方程的不稳定性。
6. Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses [O] . Qing Wang, Quanxin Zhu -1

机译：Razumikhin型稳定标准用于延迟冲动的微分方程
7. ASYMPTOTIC STABILITY CONDITION FOR LINEAR DIFFERENTIAL-DIFFERENCE EQUATION WITH N DELAYS(The Functional and Algebraic Method for Differential Equations) [O] . HARA TADAYUKI, MIYAZAKI RINKO, MORII TAKAYASU 1996

机译：时滞为N的线性微分方程的渐近稳定性条件（微分方程的函数和代数方法）

Delay independent stability conditions and decay estimates fortime-varying functional differential equations

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