H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control

2019 ◽  
Vol 127 ◽  
pp. 244-256 ◽  
Author(s):  
Kui Ding ◽  
Quanxin Zhu
Keyword(s):  
Delay Systems ◽  
Intermittent Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Exogenous Disturbance ◽  
Stochastic Time ◽  
Varying Delay

scholarly journals Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 65
Author(s):  
Thanasak Mouktonglang ◽  
Suriyon Yimnet
Keyword(s):  
Finite Time ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Exogenous Disturbance ◽  
Interval Uncertainties ◽  
Positive Time ◽  
Finite Time Boundedness ◽  
Varying Delay

The problem of finite-time boundedness for a class of linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance is addressed. This characteristic research is that the studied systems include the finite-time bounded subsystems and finite-time unbounded subsystems. Both a slow mode-dependent average dwell time and a fast mode-dependent average dwell time switching techniques are utilized reasonably. And by applying a copositive Lyapunov-Krasovskii functional, novel delay-dependent sufficient criteria are derived to guarantee such systems to be finite-time bounded concerning the given parameters and designed switching signal. Furthermore, new finite-time boundedness criteria of the systems without interval uncertainties are also obtained. Finally, the efficiency of the theoretical results is presented in two illustrative examples.

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