Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem

Teel A.R.

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Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem

机译：Razumikhin型定理与ISS非线性小增益定理之间的联系

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A Razumikhin-type theorem that guarantees input-to-state stability for functional differential equations with disturbances is established using the nonlinear small-gain theorem. The result is used to show that input-to-state stabilizability for nonlinear finite-dimensional control systems is robust, in an appropriate sense, to small time delays at the input. Also, relaxed Razumikhin-type conditions guaranteeing global asymptotic stability for differential difference equations are given.

机译：使用非线性小增益定理建立了一个Razumikhin型定理，该定理可以保证具有扰动的泛函微分方程的输入状态稳定性。结果用于表明，非线性有限维控制系统的输入状态稳定性在适当的意义上对输入端的小时间延迟具有鲁棒性。此外，给出了保证微分差分方程全局渐近稳定性的松弛Razumikhin型条件。

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《IEEE Transactions on Automatic Control》 |1998年第7期|P.960-964|共5页
作者
Teel A.R.;
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1. Connections between Razumikhin-type theorems and the ISS nonlinearsmall gain theorem [J] . Teel A.R. IEEE Transactions on Automatic Control . 1998,第7期

机译：Razumikhin型定理与ISS非线性小增益定理之间的联系
2. Razumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay [J] . Haibo Gu, Caixia Gao Journal of Applied Mathematics and Physics . 2016,第7期

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3. Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems [J] . Ning C., He Y., Wu M., Automatic Control, IEEE Transactions on . 2014,第7期

机译：非线性时滞系统输入到状态稳定性的改进Razumikhin型定理
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
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7. Razumikhin-type Theorems for ISS of Nonlinear Delayed Impulsive Systems [O] . Wu-hua Chen, Wei Xing Zheng 2016

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Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem

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