Exponential stabilization of two nonlinearly coupled oscillators by an estimated state feedback

Moukam FK.; Bowong S.; Tchawoua C.

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Exponential stabilization of two nonlinearly coupled oscillators by an estimated state feedback

机译：通过估计的状态反馈实现两个非线性耦合振荡器的指数稳定

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This paper deals with the problem of stabilizability of a dynamics of two nonlinearly coupled oscillators which linearization at the origin is controllable and observable. Under assumptions on the nonlinear part, we prove that the system is globally exponentially stabilizable (G.E.S.) by means of linear feedback law and can be G.E.S..using a state estimation given by an observer. [References: 18]

机译：本文讨论了两个非线性耦合振荡器的动力学稳定性问题，该振荡器在原点处的线性化是可控和可观察的。在非线性部分的假设下，我们通过线性反馈定律证明该系统是全局指数稳定的（G.E.S.），并且可以使用观察者给出的状态估计来实现G.E.S .. [参考：18]

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2002年第1期|共9页
作者
Moukam FK.; Bowong S.; Tchawoua C.;
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正文语种 eng
中图分类物理学;
关键词
Systems; Dynamics;

机译：系统;动力学;

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1. Exponential stabilization of two nonlinearly coupled oscillators by an estimated state feedback [J] . Moukam FK., Bowong S., Tchawoua C. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2002,第1期

机译：通过估计的状态反馈实现两个非线性耦合振荡器的指数稳定
2. The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection [J] . Zhao Dong-Xia, Wang Jun-Min, Guo Ya-Ping International Journal of Control, Automation, and Systems . 2019,第1期

机译：具有Dirichlet边界互连的耦合热PDE-ODE系统的直接反馈控制和指数稳定
3. Efficient exponential time integration for simulating nonlinear coupled oscillators [J] . Luan Vu Thai, Michels Dominik L. Journal of Computational and Applied Mathematics . 2021,第1期

机译：用于模拟非线性耦合振荡器的有效指数时间集成
4. Output feedback exponential stabilization of a nonlinear 1-D wave equation with boundary input [C] . Hua-Cheng Zhou, George Weiss IFAC World Congress . 2018

机译：带边界输入的非线性1-D波方程的输出反馈指数稳定
5. Biomimetic control with a feedback coupled nonlinear oscillator: Insect experiments, design tools, and hexapedal robot adaptation results. [D] . Bailey, Sean Ashley. 2004

机译：具有反馈耦合非线性振荡器的仿生控制：昆虫实验，设计工具和六足机器人的适应性结果。
6. Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity [O] . Guo-jian Qiao, Hui-xia Gao, Hao-di Liu, -1

机译：具有Kerr非线性的耦合光机械系统中两个机械振荡器的量子同步
7. Novel delay-dependent exponential stabilization criteria of a nonlinear system with mixed time-varying delays via hybrid intermittent feedback control [O] . Patarawadee Prasertsang, Thongchai Botmart 2017

机译：具有混合时变延迟的非线性系统的新型延迟依赖性指数稳定标准通过混合间歇反馈控制
8. Coupled Anharmonic Oscillator Model for Optical Nonlinearities of Conjugated Organic Structures. [R] . Prasad, P. N., Perrin, E., Samoc, M. 1989

机译：共轭有机结构光学非线性的耦合非谐振子模型。

Exponential stabilization of two nonlinearly coupled oscillators by an estimated state feedback

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