An invariance principle for discrete-time nonlinear systems

Sundarapandian V.

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An invariance principle for discrete-time nonlinear systems

机译：离散时间非线性系统的不变性原理

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In this paper, we derive an invariance principle generalizing LaSalle's invariance principle for discrete-time nonlinear systems. Next, using the invariance principle, we develop a series of results relating stability, observability, and converse Lyapunov theorems for discrete-time nonlinear systems. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 5]

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《Applied mathematics letters》 |2003年第1期|共7页
作者
Sundarapandian V.;
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正文语种 eng
中图分类应用数学;
关键词
Invariance principle; Discrete-time nonlinear systems; Stability; Observability;

机译：不变性原理离散非线性系统稳定性可观测性;

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专利

1. An invariance principle for discrete-time nonlinear systems [J] . Sundarapandian V. Applied mathematics letters . 2003,第1期

机译：离散时间非线性系统的不变性原理
2. Map Invariance and the State Reconstruction Problem for Nonlinear Discrete-time Systems [J] . Nikolas Kazantzis European Journal of Control . 2009,第2期

机译：非线性离散系统的映射不变性和状态重构问题
3. "Invariance-inducing" control of nonlinear discrete-time dynamical systems [J] . Kazantzis N. Journal of nonlinear science . 2003,第6期

机译：非线性离散时间动态系统的“不变性诱导”控制
4. Dynamic disturbance decoupling for discrete-time nonlinear systems: a solution in terms of generalized controlled invariance [C] . Aranda-Bricaire, E., Kotta, . 1996

机译：离散时间非线性系统的动态干扰解耦：广义控制不变性的一种解决方案
5. Guaranteed State Estimation via Remainder-Form Decomposition Function-Based Set Inclusion for Nonlinear Discrete-Time Systems [D] . Shoaib, Fatima. 2021

机译：保证状态估计通过基于剩余的形式分解功能的非线性离散时间系统的夹杂物
6. Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities [O] . Xiaozheng Fan, Yan Wang, Manfeng Hu -1

机译：具有信道衰落扇区非线性以及随机出现的间隔延迟和非线性的离散时间系统的模糊...公式输出反馈控制
7. An invariance principle for discrete-time nonlinear systems [O] . Sundarapandian V. 2003

机译：离散时间非线性系统的不变性原理
8. Weak Asymptotic Decay via a 'Relaxed Invariance Principle' for a Wave Equation with Nonlinear, Nonmonotone Damping [R] . Slemrod, M. 1988

机译：具有非线性非单调阻尼的波动方程的“松弛不变原理”弱渐近衰变

An invariance principle for discrete-time nonlinear systems

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