The method of Lyapunov functionals and exponential stability of impulsive systems with time delay

2007 ◽  
Vol 66 (7) ◽  
pp. 1465-1484 ◽  
Author(s):  
Xinzhi Liu ◽  
Qing Wang
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Lyapunov Functionals ◽  
Impulsive Systems

scholarly journals Exponential Stability for Impulsive Stochastic Nonlinear Network Systems with Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Lanping Chen ◽  
Zhengzhi Han ◽  
Zhenghua Ma
Keyword(s):  
Numerical Simulation ◽  
Time Delay ◽  
Exponential Stability ◽  
Nonlinear Equations ◽  
Sufficient Conditions ◽  
Impulsive Systems ◽  
Complex Dynamical Network ◽  
Network Systems ◽  
Dynamical Network ◽  
Nonlinear Network

We study the exponential stability of the complex dynamical network described by differentially nonlinear equations which couple with time delay and stochastic impulses. Some sufficient conditions are established to ensurepth moment exponential stable for the stochastic impulsive systems (SIS) with time delay. An example with its numerical simulation is presented to illustrate the validation of main results.

Optimal control of switched impulsive systems with time delay

2013 ◽  
Vol 53 ◽  
pp. 291
Author(s):  
Wan Mei Tang ◽  
Kar Hung Wong
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Impulsive Systems

Exponential stability of impulsive systems with random delays under sampled-data control

2017 ◽  
Vol 11 (16) ◽  
pp. 2834-2847 ◽  
Author(s):  
Kuppusamy Subramanian ◽  
Palanisamy Muthukumar ◽  
Quanxin Zhu
Keyword(s):  
Exponential Stability ◽  
Sampled Data ◽  
Impulsive Systems ◽  
Random Delays ◽  
Data Control ◽  
Sampled Data Control

scholarly journals Exponential stability of impulsive systems with application to uncertain sampled-data systems

2008 ◽  
Vol 57 (5) ◽  
pp. 378-385 ◽  
Author(s):  
Payam Naghshtabrizi ◽  
João P. Hespanha ◽  
Andrew R. Teel
Keyword(s):  
Exponential Stability ◽  
Data Systems ◽  
Sampled Data ◽  
Impulsive Systems
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