input-to-State Stability of Lur'e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach

Zhixin Tai; Xingcheng Wang; Yan Shi; Hamid Reza Karimi

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input-to-State Stability of Lur'e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach

机译：Lur'e双曲分布复数值参数控制系统的输入状态稳定性：LOI方法

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摘要

In this work, input-to-state stability of Lur'e hyperbolic distributed complex-valued parameter control systems has been addressed. Using comparison principle, delay-dependent sufficient conditions for the input-to-state stability in complex Hilbert spaces are established in terms of linear operator inequalities. Finally, numerical computation illustrates our result.

机译：在这项工作中，已经解决了Lur'e双曲分布复数值参数控制系统的输入到状态稳定性。使用比较原理，根据线性算子不等式建立了复杂的希尔伯特空间中输入到状态稳定性的依赖于延迟的充分条件。最后，数值计算说明了我们的结果。

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《Mathematical Problems in Engineering》 |2013年第1期|364057.1-364057.4|共4页
作者
Zhixin Tai; Xingcheng Wang; Yan Shi; Hamid Reza Karimi;
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Institute of Dynamics and Control School of Astronautics and Aeronautics, Tsinghua University, Beijing 100084, China;

Department of Automation, School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China;

School of Industrial Engineering, Tokai University, Kumamoto 862-8652, Japan;

Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway;

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1. Input-to-State Stability of Lur’e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach [J] . ZhixinTai, XingchengWang, YanShi, Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第3期

机译：Lur’e双曲分布复数值参数控制系统的输入状态稳定性：LOI方法
2. Input-to-state stability for Lur'e stochastic distributed parameter control systems [J] . Tai Z. Applied mathematics letters . 2012,第4期

机译：Lur'e随机分布参数控制系统的输入状态稳定性
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机译：非线性双曲分布复值参数系统的指数稳定性：线性模糊算子不等式方法
4. Robust output regulation of 2×2 hyperbolic systems: Control law and Input-to-State Stability [C] . Pierre-Olivier Lamare, Jean Auriol, Florent Di Meglio, American Control Conference . 2018

机译：2×2双曲线系统的强大输出调节：控制法和输入到状态稳定性
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机译：分布式参数系统的稳定性和最优控制。
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机译：一种输入到状态稳定性方法用于验证同步机器无限总线系统的几乎全局稳定性
7. Input-to-state stability of Lur'e hyperbolic distributed complex-valued Parameter control systems: LOI approach [O] . Tai Zhixin, Wang Xingcheng, Shi Yan, 2013

机译：Lur'e双曲分布复值参数控制系统的输入状态稳定性：LOI方法
8. Optimal and Insensitive Control of Hyperbolic Distributed Parameter Systems with Applications to Wing Flutter Problems [R] . Russell, D. L. 1986

机译：双曲分布参数系统的最优和不敏感控制及其在翼颤问题中的应用

input-to-State Stability of Lur'e Hyperbolic Distributed Complex-Valued Parameter Control Systems: LOI Approach

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