Finite-time stability and control of impulsive stochastic delayed systems based on average impulsive interval

2017 ◽  
Author(s):  
Xingxing Zhu ◽  
Fengqi Yao
Keyword(s):  
Finite Time ◽  
Time Stability ◽  
Delayed Systems ◽  
Finite Time Stability ◽  
Stability And Control ◽  
And Control ◽  
Average Impulsive Interval

scholarly journals Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Shuangyun Xing ◽  
Qingling Zhang ◽  
Yi Zhang
Keyword(s):  
Finite Time ◽  
Fuzzy Systems ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Economic Systems ◽  
Time Stability ◽  
Control Approach ◽  
Finite Time Stability ◽  
Stability And Control ◽  
And Control

This paper studies the problem of finite-time stability and control for a class of stochastic singular biological economic systems. It shows that such systems exhibit the distinct dynamic behavior when the economic profit is a variable rather than a constant. Firstly, the stochastic singular biological economic systems are established as fuzzy models based on T-S fuzzy control approach. These models are described by stochastic singular T-S fuzzy systems. Then, novel sufficient conditions of finite-time stability are obtained for the stochastic singular biological economic systems, and the state feedback controller is designed so that the population (state of the systems) can be driven to the bounded range by the management of the open resource. Finally, by using Matlab software, numerical examples are given to illustrate the effectiveness of the obtained results.

Finite-Time Stability and Control

2014 ◽  
Author(s):  
Francesco Amato ◽  
Roberto Ambrosino ◽  
Marco Ariola ◽  
Carlo Cosentino ◽  
Gianmaria De Tommasi
Keyword(s):  
Finite Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Control ◽  
And Control

Finite-time stability of delayed systems

2000 ◽  
Vol 17 (2) ◽  
pp. 101-109 ◽  
Author(s):  
M. P. Lazarevic ◽  
D. L. Debeljkovic ◽  
Z. L. Nenadic ◽  
S. A. Milinkovic
Keyword(s):  
Finite Time ◽  
Time Stability ◽  
Delayed Systems ◽  
Finite Time Stability

New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Liping Chen ◽  
Wei Pan ◽  
Ranchao Wu ◽  
Yigang He
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Lyapunov Method ◽  
Time Interval ◽  
Fractional Order Systems ◽  
Finite Time Interval ◽  
Time Stability ◽  
Delayed Systems ◽  
Finite Time Stability ◽  
Delayed System

Since Lyapunov method has not been well developed for fractional-order systems, stability of fractional-order nonlinear delayed systems remains a formidable problem. In this letter, finite-time stability of a class of fractional-order nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delay-independent sufficient condition guaranteeing stability of fractional-order nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.

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