Determination of a controllable set for a class of non-linear stochastic control systems

Yazeng Liu; Shige Peng

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Determination of a controllable set for a class of non-linear stochastic control systems

机译：一类非线性随机控制系统可控制集的确定

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摘要

A controllable set of a class of non-linear stochastic control systems to a given set is defined. A value function associated with an optimal control problem is introduced. Under some reasonable conditions, the controllable set is characterized by a level set of the viscosity solution of a Hamilton-Jacobi-Bellman equation.

机译：定义了给定集合的一类非线性随机控制系统的可控制集合。介绍了与最优控制问题相关的值函数。在一些合理的条件下，可控集合的特征是汉密尔顿-雅各比-贝尔曼方程的粘度解的水平集。

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《Optimal Control Applications and Methods》 |2003年第3期|共9页
作者
Yazeng Liu; Shige Peng;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Controllable set; Stochastic control systems; Optimal control; Hamilton-Jacobi-Bellman equation;

机译：可控集;随机控制系统;最优控制;Hamilton-Jacobi-Bellman方程;

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专利

1. Determination of a controllable set for a class of non-linear stochastic control systems [J] . Yazeng Liu, Shige Peng Optimal Control Applications and Methods . 2003,第3期

机译：一类非线性随机控制系统可控制集的确定
2. Brief Paper - Global set-point tracking control for a class of non-linear systems and its application in continuously stirred tank reactor systems [J] . Yu J., Wu Y. Control Theory & Applications, IET . 2012,第12期

机译：简介-一类非线性系统的全局设定点跟踪控制及其在连续搅拌釜反应器系统中的应用
3. Adaptive tracking control for a class of stochastic non-linear systems with input saturation constraint using multi-dimensional Taylor network [J] . Han Yu-Qun Control Theory & Applications, IET . 2020,第9期

机译：一种使用多维泰勒网络对输入饱和约束的一类随机非线性系统的自适应跟踪控制
4. Probabilistic Decoupling Control for Stochastic Non-Linear Systems Using EKF-Based Dynamic Set-Point Adjustment [C] . Qichun Zhang, Liang Hu UKACC International Conference on Control . 2018

机译：基于基于EKF的动态设定点调整的随机非线性系统的概率解耦控制
5. Stochastical control problems with limitations on the set of allowable controls. [D] . Liu, Jun. 2004

机译：随机控制问题，对允许的控制集有限制。
6. Set-based corral control in stochastic dynamical systems: Making almostinvariant sets more invariant [O] . Eric Forgoston, Lora Billings, Philip Yecko, -1

机译：随机动力系统中基于集合的畜栏控制：几乎不变集更不变
7. Stationary and Ergodic Properties of Stochastic Non-Linear Systems Controlled over Communication Channels [O] . Yüksel, Serdar 2016

机译：随机非线性系统的平稳和遍历性质通信通道控制

Determination of a controllable set for a class of non-linear stochastic control systems

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