On nonlinear discrete-time systems driven by Markov chains

被引：12
作者：
Tejada, A. [1 ]
Gonzalez, O. R. [2 ]
Gray, W. S. [2 ]
机构：
[1] Delft Univ Technol, Delft Ctr Syst & Control, NL-2628 CD Delft, Netherlands
[2] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 05期
关键词：
Markov property; Markov kernel; Stochastic hybrid systems; STABILITY ANALYSIS; PERFORMANCE; SUBJECT;
D O I：
10.1016/j.jfranklin.2010.02.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The behavior of a class of hybrid systems in discrete-time can be represented by nonlinear difference equations with a Markov input. The analysis of such a system usually starts by establishing the Markov property of the joint process formed by combining the system's state and input. There are, however, no complete proofs of this property. This paper aims to address this problem by presenting a complete and explicit proof that uses only fundamental measure-theoretical concepts. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：795 / 805
页数：11
相关论文
共 50 条
  • [31] Stochastic Stabilization for Discrete-Time Markovian Jump Systems With Time-Varying Delay and Two Markov Chains Under Partly Known Transition Probabilities
    Li, Yuan
    Yu, Zhongxin
    Liu, Yang
    Ren, Junchao
    IEEE ACCESS, 2021, 9 (09): : 26937 - 26947
  • [32] Indirect adaptive fuzzy control for a class of nonlinear discrete-time systems
    Shi Wuxi
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2008, 19 (06) : 1203 - 1207
  • [33] Synergetic Adaptive Fuzzy Control for a Class of Nonlinear Discrete-time Systems
    Abdelouaheb, Boukhalfa
    Farid, Khaber
    Najib, Essounbouli
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (04) : 1981 - 1988
  • [34] H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information
    Shen, Hao
    Xing, Mengping
    Xu, Shengyuan
    Basin, Michael, V
    Park, Ju H.
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2021, 68 (02) : 818 - 828
  • [35] Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation
    Ma, S.
    Zhang, C.
    Zhu, S.
    IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (02) : 255 - 262
  • [36] Constrained robust model predicted control of discrete-time Markov jump linear systems
    Lopes, Rosileide O.
    Mendes, Eduardo M. A. M.
    Torres, Leonardo A. B.
    Palhares, Reinaldo M.
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (04) : 517 - 525
  • [37] Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
    Yu, Shengchun
    Pang, Yanzhen
    Chen, Guici
    Zhou, Xin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
  • [38] Fuzzy-model-based H∞ filtering for discrete-time singular Markov jump nonlinear systems against hybrid attacks
    Wang, Guanqi
    Li, Feng
    Wang, Yan
    Wang, Jing
    Shen, Hao
    JOURNAL OF CONTROL AND DECISION, 2024, 11 (02) : 233 - 244
  • [39] Extended passive filtering for discrete-time singular Markov jump systems with time-varying delays
    Shen, Hao
    Su, Lei
    Park, Ju H.
    SIGNAL PROCESSING, 2016, 128 : 68 - 77
  • [40] Data-Driven Control for Linear Discrete-Time Systems with Input Saturation
    Lu, Xiaoyun
    Zhou, Dongpeng
    Chen, Wu-Hua
    Lu, Xiaomei
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (10) : 6211 - 6227
12345