Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects-Reference-Cited by-同舟云学术

Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects

Published:2011-12-05 Issue:1 Volume:134 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Xu Jia¹,Sun Jitao²,Yue Dong³

Affiliation:

1. Department of Mathematics, Tongji University, Shanghai 200092, China; College of Electronics and Information Engineering, Tongji University, Shanghai 201804, China

2. Department of Mathematics, Tongji University, Shanghai 200092, China

3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Abstract

In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4005359/5782666/011011_1.pdf

Reference32 articles.

1. Stabilization of Markovian Systems via Probability Rate Synthesis and Output Feedback;Feng;IEEE Trans. Autom. Control

2. Exponential Stabilization of a Class of Stochastic System With Markovian Jump Parameters and Mode-Dependent Mixed Time-Delays;Wang;IEEE Trans. Autom. Control

3. Robust h∞ Output Feedback Control Design for Takagi-Sugeno Systems With Markovian Jumps: A Linear Matrix Inequality Approach;Nguang;ASME J. Dyn. Syst., Meas., Control

4. Stability Analysis and h∞ Control for Uncertain Stochastic Piecewise-Linear Systems;Zhang;IET Control Theory Appl.

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Input-to-state stability for switched stochastic nonlinear systems with mode-dependent random impulses;Information Sciences;2022-06

2. Observer‐based finite‐time passive control of discrete‐time switched nonlinear systems with time‐delay;International Journal of Adaptive Control and Signal Processing;2022-03-13

3. Introduction to State Estimation of High-Rate System Dynamics;Sensors;2018-01-13

4. Energy-to-peak filtering for T–S fuzzy systems with Markovian jumping: The finite-time case;Neurocomputing;2015-11

5. Stochastic Finite-Time Stabilization for a Class of Nonlinear Markovian Jump Stochastic Systems With Impulsive Effects;Journal of Dynamic Systems, Measurement, and Control;2015-04-01