A New Type of Stability Theorem for Stochastic Systems With Application to Stochastic Stabilization

2016 ◽  
Vol 61 (1) ◽  
pp. 240-245 ◽  
Author(s):  
Xueyan Zhao ◽  
Feiqi Deng
Keyword(s):  
Stochastic Systems ◽  
Stability Theorem ◽  
Stochastic Stabilization ◽  
New Type ◽  
Type Of Stability

scholarly journals On a new type of stability

1967 ◽  
Vol 3 (3) ◽  
pp. 440-448 ◽  
Author(s):  
Wolfgang Hahn
Keyword(s):  
New Type ◽  
Type Of Stability

Robust Control and Stability Analysis for Stochastic Systems with Markov Jump

2014 ◽  
Vol 631-632 ◽  
pp. 684-687
Author(s):  
Cheng Wang
Keyword(s):  
Stability Analysis ◽  
Robust Control ◽  
Markov Process ◽  
Stochastic Systems ◽  
Research Trends ◽  
Information Control ◽  
Research Topics ◽  
Markov Jump ◽  
New Type ◽  
New Research

Stochastic systems with Markov jump is a new type of stochastic system in recent years, which is a new field integrated by information, control and Markov process. This paper introduces the research history and the newest research trends of stochastic systems with Markov jump, and presents many widespread theoretical and application problems. Moreover, some new research topics and directions related to stochastic systems with Markov jump are proposed.

scholarly journals Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Shuang Liang ◽  
Yali Dong
Keyword(s):  
Discrete Time ◽  
Stochastic Stability ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Stochastic Stabilization ◽  
Stability And Stabilization ◽  
Delay Dependent

This paper deals with the problems of the robust stochastic stability and stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays and nonlinear disturbances. By utilizing a new Lyapunov-Krasovskii functional and some well-known inequalities, some new delay-dependent criteria are developed to guarantee the robust stochastic stability of a class of uncertain discrete-time stochastic systems in terms of the linear matrix inequality (LMI). Then based on the state feedback controller, the delay-dependent sufficient conditions of robust stochastic stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays are established. The controller gain is designed to ensure the robust stochastic stability of the closed-loop system. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method.

scholarly journals A New Type of Combination Synchronization among Multiple Chaotic Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Xingxu Wang ◽  
Lin Sun ◽  
Bingji Wang ◽  
Tousheng Huang
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Representative Case ◽  
Combination Synchronization ◽  
Response System ◽  
New Type ◽  
Drive Systems ◽  
Multiple Chaotic Systems

Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.

scholarly journals Stochastic Stabilization of Itô Stochastic Systems with Markov Jumping and Linear Fractional Uncertainty

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Fei Long ◽  
Hongmei Huang ◽  
Adan Ding
Keyword(s):  
Uncertain Systems ◽  
State Feedback ◽  
Stochastic Systems ◽  
Function Technique ◽  
Control Law ◽  
Output Control ◽  
Stochastic Stabilization ◽  
Dynamic Output ◽  
Linear Fractional Uncertainty ◽  
Stochastic Linear Systems

For a class of Itô stochastic linear systems with the Markov jumping and linear fractional uncertainty, the stochastic stabilization problem is investigated via state feedback and dynamic output feedback, respectively. In order to guarantee the stochastic stability of such uncertain systems, state feedback and dynamic output control law are, respectively, designed by using multiple Lyapunov function technique and LMI approach. Finally, two numerical examples are presented to illustrate our results.

scholarly journals Combined Synchronization among Three Inconsistent Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Yuan Chai ◽  
Xiaojing Zhu ◽  
Jingjing Cai
Keyword(s):  
Small World ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Community Network ◽  
Partial Control ◽  
Scale Free ◽  
System Combination ◽  
Combination Synchronization ◽  
New Type ◽  
Universal Controller

A new type of network-combination synchronization is proposed between two drive networks, small-world and scale-free, and one response community network based on the model of multiple system combination. According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. The paper is characterized by two parts of one response community network loaded from the combined signals of two drive networks. Numerical simulations are presented to show the full and partial control of the proposed method.

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