FAST SWITCHING ANALYSIS OF LINEAR SWITCHED SYSTEMS USING EXPONENTIAL SPLITTING

M. PORFIRI; D. G. ROBERSON; D. J. STILWELL

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FAST SWITCHING ANALYSIS OF LINEAR SWITCHED SYSTEMS USING EXPONENTIAL SPLITTING

机译：基于指数分裂的线性开关系统快速开关分析

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Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

机译：通过结合平均和指数分裂的方法，研究了具有快速切换模式的周期切换线性系统的稳定性。与现有方法相比，该方法在稳定快速切换速率方面产生的保守性边界较小。这样的界限对于开关控制律的分析和设计可能是有用的。该方法还被推广到任意（包括非周期性非切换）时变系统。特别地，分析了时变状态扰动对线性周期切换系统的稳定性的影响。

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《SIAM Journal on Control and Optimization》 |2009年第5期|共16页
作者
M. PORFIRI; D. G. ROBERSON; D. J. STILWELL;
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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
averaging method; exponential splitting; fast switching; stability; switched systems; linear systems;

机译：平均方法指数分解快速切换稳定性切换系统线性系统;

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1. FAST SWITCHING ANALYSIS OF LINEAR SWITCHED SYSTEMS USING EXPONENTIAL SPLITTING [J] . M. PORFIRI, D. G. ROBERSON, D. J. STILWELL SIAM Journal on Control and Optimization . 2009,第5期

机译：基于指数分裂的线性开关系统快速开关分析
2. New Results on Exponential Stability and Passivity Analysis of Delayed Switched Systems with Nonlinear Perturbations [J] . Mai Viet Thuan, Dinh Cong Huong Circuits, systems, and signal processing . 2018,第2期

机译：非线性时滞切换系统指数稳定性和无源性分析的新结果。
3. Delay-dependent exponential stability analysis of non-linear switched singular systems with average dwell time approach [J] . Manivannan A., Muralisankar S. Complexity . 2016,第4期

机译：基于平均停留时间的非线性切换奇异系统的时滞相关指数稳定性分析
4. L2 Gain Performance Analysis of Linear Switched Systems: Fast Switching Behavior [C] . Roberson, D. Gray, Stilwell, . 2007

机译：线性开关系统的L2增益性能分析：快速开关行为
5. Analysis and Control of Switched Linear Systems Using Different Switching Strategies. [D] . Duan, Chang. 2013

机译：使用不同切换策略的切换线性系统的分析和控制。
6. All-optical active THz metasurfaces for ultrafast polarization switching and dynamic beam splitting [O] . Longqing Cong, Yogesh Kumar Srivastava, Huifang Zhang, 2018

机译：全光有源太赫兹超表面用于超快偏振切换和动态分束
7. Sufficient conditions for global exponential stability of discrete switched time-delay systems with linear fractional perturbations via switching signal design [O] . Chang-Hua Lien, Ker-Wei Yu, Jenq-Der Chen, 2013

机译：具有线性分数扰动的离散切换时滞系统通过开关信号设计的全局指数稳定性的充分条件

FAST SWITCHING ANALYSIS OF LINEAR SWITCHED SYSTEMS USING EXPONENTIAL SPLITTING

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