Practical stability analysis of fractional-order impulsive control systems

2016 ◽  
Vol 64 ◽  
pp. 77-85 ◽  
Author(s):  
Ivanka Stamova ◽  
Johnny Henderson
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Fractional Order ◽  
Impulsive Control ◽  
Practical Stability ◽  
Impulsive Control Systems

scholarly journals Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks

2022 ◽  
Vol 27 (1) ◽  
pp. 102-120
Author(s):  
Jin You ◽  
Shurong Sun
Keyword(s):  
Graph Theory ◽  
Control Systems ◽  
Fractional Order ◽  
Impulsive Control ◽  
Coupled Systems ◽  
Practical Stability ◽  
Order System ◽  
Impulsive Control Systems ◽  
New Criteria ◽  
Noninstantaneous Impulses

This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks. Using graph theory and Lyapunov method, new criteria for practical stability, uniform practical stability as well as practical asymptotic stability are established. In this paper, we extend graph theory to fractional-order system via piecewise Lyapunov-like functions in each vertex system to construct global Lyapunov-like functions. Our results are generalization of some known results of practical stability in the literature and provide a new method of impulsive control law for impulsive control systems with noninstantaneous impulses. Examples are given to illustrate the effectiveness of our results

scholarly journals A Generalization of the Cauchy-Schwarz Inequality and Its Application to Stability Analysis of Nonlinear Impulsive Control Systems

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
Yang Peng ◽  
Jiang Wu ◽  
Limin Zou ◽  
Yuming Feng ◽  
Zhengwen Tu
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Impulsive Control ◽  
Schwarz Inequality ◽  
Sufficient Condition ◽  
Numerical Example ◽  
Impulsive Control Systems ◽  
The Stability

In this paper, we first present a generalization of the Cauchy-Schwarz inequality. As an application of our result, we obtain a new sufficient condition for the stability of a class of nonlinear impulsive control systems. We end up this note with a numerical example which shows the effectiveness of our method.

scholarly journals Stability analysis of impulsive control systems

2003 ◽  
Vol 37 (12-13) ◽  
pp. 1357-1370 ◽  
Author(s):  
Xinzhi Liu ◽  
Yanqun Liu ◽  
Kok Lay Teo
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Impulsive Control ◽  
Impulsive Control Systems
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