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Immersion and Immersion by Nonsingular Feedback of a Discrete-Time Nonlinear System Into a Linear System

机译：离散非线性系统非奇异反馈在线性系统中的浸入与浸没

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摘要

Consider an analytic discrete-time nonlinear system. Necessary and sufficient conditions for immersion of the system into a linear system are given. Also, define local immersion by nonsingular feedback into a linear system and give necessary and sufficient conditions for this problem. Finally, a similar approach can also be applied to continuous-time affine nonlinear systems. Keywords: Reprints, Control theory, Immersion, Nonlinear systems, Linearization. (jhd)

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作者
Lee, H. G.; Marcus, S. I.;
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年度 1988
页码 p.1-7
总页数 7
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Control theory; Immersion; Linear systems; Nonlinear systems; Reprints; Time;

机译：控制理论;浸入;线性系统;非线性系统;重印;时间;

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专利

1. Immersion and immersion by nonsingular feedback of a discrete-time nonlinear system into a linear system [J] . Lee H.-G., Marcus S.I. IEEE Transactions on Automatic Control . 1988,第5期

机译：通过离散非线性系统的非奇异反馈浸入和浸入线性系统
2. A data-driven immersion technique for linearization of discrete-time nonlinear systems [J] . Zheming Wang, Rapha?l M. Jungers IFAC PapersOnLine . 2020,第2期

机译：用于离散时间非线性系统线性化的数据驱动浸没技术
3. Observer design for nonlinear discrete-time systems: Immersion and dynamic observer error linearization techniques [J] . Zhang J, Feng G, Xu HB International Journal of Robust and Nonlinear Control . 2010,第5期

机译：非线性离散时间系统的观测器设计：浸入式和动态观测器误差线性化技术
4. Immersion and Invariance Based Adaptive Dynamic Surface Control for Parametric Strict-Feedback Nonlinear Systems [C] . Y. Soukkou, S. Labiod, M. Tadjine, International Conference on Electrical Engineering and Control Applications . 2019

机译：基于参数的严格反馈非线性系统的浸入和不变性的自适应动态表面控制
5. Neural network control of nonstrict feedback and nonaffine nonlinear discrete-time systems with application to engine control. [D] . Vance, Jonathan Blake. 2007

机译：非严格反馈和非仿射非线性离散时间系统的神经网络控制及其在发动机控制中的应用。
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. On the Nonlinear Stabilization Problem via Quadratic Immersion Part I: Sigma/Pi-systems and biased solutions of driver-type systems. [O] . Carravetta Francesco 2015

机译：关于通过二次浸入的非线性稳定问题，第一部分：Sigma / Pi系统和驱动器型系统的偏差解。
8. Immersion of a Discrete Time Nonlinear System into a Linear System [R] . Lee, H. G., Marcus, S. I. 1987

机译：离散非线性系统在线性系统中的浸入

Immersion and Immersion by Nonsingular Feedback of a Discrete-Time Nonlinear System Into a Linear System

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