Synchronization in Dynamic Networks with Time-varying Delay Coupling Based on Linear Feedback Controllers

2011 ◽  
Vol 36 (12) ◽  
pp. 1766-1772 ◽  
Author(s):  
Huan PAN ◽  
Xiao-Hong NIAN ◽  
Wei-Hua GUI
Keyword(s):  
Dynamic Networks ◽  
Linear Feedback ◽  
Time Varying ◽  
Feedback Controllers ◽  
Time Varying Delay ◽  
Varying Delay

A New Approach to Robust and Non-Fragile Control of Uncertain T-S Fuzzy Systems with Interval Time-Delay

2013 ◽  
Vol 662 ◽  
pp. 801-806
Author(s):  
Li Li
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Time Varying ◽  
Parameter Uncertainties ◽  
Feedback Controllers ◽  
New Approach ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

This paper describes the synthesis of robust and non-fragile state feedback controllers for T-S fuzzy system with time-varying delay in a range and parameter uncertainties. A new method is proposed by de¯ning new Lyapunov functionals and introducing some free-weighting matrices. Impr oved delay-dependent results are presented.

scholarly journals Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Wenhua Xia ◽  
Yiping Luo ◽  
Bifeng Zhou ◽  
Guanghui Liu
Keyword(s):  
Final Section ◽  
Exponential Synchronization ◽  
Linear Feedback ◽  
Time Varying ◽  
Partial Differential ◽  
Differential Systems ◽  
Time Varying Delay ◽  
Linear Feedback Controller ◽  
Error Dynamic ◽  
Varying Delay

This paper is concerned with the exponential synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. To achieve synchronization, we added a linear feedback controller. A sufficient condition is derived to ensure the exponential synchronization of the proposed networks using the Lyapunov–Krasovskii stability approach and matrix inequality technology. The proposed system has broad applications. Two example applications are presented in the final section of this paper to verify the proposed theoretical result.

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