Robust stability of two-time-scale systems with nonlinear uncertainties

Shao Z.H.

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Robust stability of two-time-scale systems with nonlinear uncertainties

机译：具有非线性不确定性的两尺度系统的鲁棒稳定性

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This note is concerned with the robust stability problem of uncertain two-time-scale systems, where the only information available for system uncertainties is their norm upper bounds. The stability bound ε* is derived via a state transformation and the constructive use of a Lyapunov function. Finally, examples are given to illustrate the applications of the proposed results.

机译：本注释涉及不确定的两尺度系统的鲁棒稳定性问题，其中唯一可用于系统不确定性的信息是其范数上限。通过状态变换和Lyapunov函数的构造性使用来推导稳定界ε*。最后，通过实例说明所提出的结果的应用。

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《IEEE Transactions on Automatic Control》 |2004年第2期|p.258-261|共4页
作者
Shao Z.H.;
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正文语种 eng
中图分类自动化系统;
关键词
control nonlinearities; matrix decomposition; sampled data systems; singularly perturbed systems; stability; uncertain systems; Lyapunov function; nonlinear uncertainties; norm upper bounds; robust stability; singularly perturbed systems; stability bound; state tran;

机译：控制非线性;矩阵分解;采样数据系统;奇异摄动系统;稳定性;不确定系统;Lyapunov函数;非线性不确定性;范数上限;鲁棒稳定性;奇异摄动系统;稳定性界;状态转换;

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1. ROBUST CONTROL OF MULTIVARIABLE TWO-TIME-SCALE NONLINEAR SYSTEMS [J] . Christofides PD., Daoutidis P. Journal of Process Control . 1997,第5期

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2. Operator-based robust stability for nonlinear systems with multiple uncertainties using coprime factorisation method [J] . Tao Fazhan, Li Mengyang, Fu Zhumu International journal of systems science . 2021,第1a4期

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3. Robust stability results for nonlinear Markovian jump systems with mode-dependent time-varying delays and randomly occurring uncertainties [J] . Krishnasamy Ramasamy, Balasubramaniam Pagavathigounder Complexity . 2016,第6期

机译：具有与模式相关的时变时滞和随机发生的不确定性的非线性马尔可夫跳跃系统的鲁棒稳定性结果
4. Feedback synthesis for two-time-scale nonlinear systems with uncertainty [C] . Christofides, P.D., Daoutidis, . 1994

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5. Robust stability analysis and controller synthesis for systems with parametric uncertainties. [D] . Ji, Baowei. 2004

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6. A Robust Computational Technique for Model Order Reduction of Two-Time-Scale Discrete Systems via Genetic Algorithms [O] . Othman M. K. Alsmadi, Zaer S. Abo-Hammour 2015

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7. Robust Stability and Instability of Uncertain Nonlinear Systems with Uncertainty-dependent Equilibrium [O] . Takayuki ARAI, Masaki INOUE, Jun-Ichi IMURA, 2014

机译：不确定性依赖性平衡的不确定非线性系统的稳定稳定性和不稳定性

Robust stability of two-time-scale systems with nonlinear uncertainties

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