Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems

Ning C.; He Y.; Wu M.; She J.

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Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems

机译：非线性时滞系统输入到状态稳定性的改进Razumikhin型定理

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摘要

This note describes a Lyapunov-Razumikhin function with an indefinite derivative that can be used to determine the input-to-state stability (ISS) of a nonlinear time-delay system. First, an extended comparison principle for estimating the solution of a differential inequality with an upper bound that is not (semi)negative definite is presented. Then, that principle and a Lyapunov-Razumikhin function with an indefinite derivative are employed to derive an ISS criterion. Finally, two examples show the effectiveness of our method and its superiority over others.

机译：本说明描述了具有不确定导数的Lyapunov-Razumikhin函数，该函数可用于确定非线性时滞系统的输入状态稳定性（ISS）。首先，提出了一种扩展的比较原理，用于估计差分不等式的上限不是（半）负定值的微分不等式的解。然后，利用该原理和具有不定导数的Lyapunov-Razumikhin函数来导出ISS准则。最后，两个例子说明了我们方法的有效性及其相对于其他方法的优越性。

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来源
《Automatic Control, IEEE Transactions on》 |2014年第7期|1983-1988|共6页
作者
Ning C.; He Y.; Wu M.; She J.;
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作者单位

School of Information Science and Engineering, Central South University, Changsha, China|c|;

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正文语种 eng
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关键词
Indefinite derivative; Lyapunov–Razumikhin function; input-to-state stability (ISS); nonlinear systems;

机译：不定导数;Lyapunov–Razumikhin函数;输入状态稳定性（ISS）;非线性系统;非线性;

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机译：时滞随机切换非线性系统的p次矩稳定性的Razumikhin型定理
2. Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching [J] . Gao Lijun, Wang Dandan Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2016,第Null期

机译：异步切换下具有时滞的脉冲切换系统的输入状态稳定性和整体输入状态稳定性
3. Razumikhin-type theorems for time-delay systems with Persistent impulses [J] . Li Xiaodi, Ding Yanhui Systems and Control Letters . 2017,第期

机译：Razumikhin型定理，带有持续冲动的时滞系统
4. Razumikhin-type Theorems for ISS of Nonlinear Delayed Impulsive Systems [C] . Wu-Hua Chen, Wei Xing Zheng IEEE Conference on Decision and Control . 2008

机译：非线性延迟脉冲系统ISS的Razumikhin型定理
5. Input-to-state stability properties for discrete-time nonlinear systems. [D] . Gao, Kehan. 1999

机译：离散时间非线性系统的输入状态稳定性。
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. Integral input-to-state stability of nonlinear time-delay systems with delay-dependent impulse effects [O] . Kexue Zhang 2020

机译：具有延迟依赖性脉冲效应的非线性时延系统的积分输入到状态稳定性

Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems

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