Uncertainty quantification of Group Synchronization and control of a new class of adaptive complex dynamical network with brownian motion and Time-varying Delay

2014 ◽  
Author(s):  
Lin Pan ◽  
Holger Voos ◽  
Ibrahima N'Doye ◽  
Mohamed Darouach
Keyword(s):  
Brownian Motion ◽  
Uncertainty Quantification ◽  
Time Varying ◽  
Complex Dynamical Network ◽  
Dynamical Network ◽  
Time Varying Delay ◽  
New Class ◽  
Group Synchronization ◽  
And Control ◽  
Varying Delay

scholarly journals Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Lihong Yan ◽  
Junmin Li
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Time Varying ◽  
Complex Dynamical Network ◽  
Finite Time Stability ◽  
Dynamical Network ◽  
Time Varying Delay ◽  
Different Dimensions ◽  
Inequality Techniques ◽  
Varying Delay

In this paper, we investigate finite-time synchronization problems of complex dynamical networks with different dimensions of nodes, which contain unknown periodically coupling structures and bounded time-varying delay. Based on finite-time stability theory, the inequality techniques, and the properties of Kronecker production of matrices, some useful finite-time synchronization criteria for complex dynamical network with unknown periodical couplings have been obtained. In addition, with proper adaptive periodical learning law designed, the unknown periodical couplings have been estimated successfully. Finally, some simulation examples are performed to verify the theoretical findings.

A Riccati Equation Approach to the Design of Memoryless Stabilizing Controllers and Observers for Uncertain Linear Systems with Time-Varying Delay

1996 ◽  
Vol 210 (3) ◽  
pp. 215-218 ◽  
Author(s):  
J-C Shen
Keyword(s):  
Design Procedure ◽  
Riccati Equations ◽  
Time Varying ◽  
Closed Loop System ◽  
Stabilizing Controllers ◽  
Time Varying Delay ◽  
Uncertain Dynamic Systems ◽  
And Control ◽  
Uncertain Linear Systems ◽  
Varying Delay

In this paper, a procedure for designing the memoryless state estimation feedback controller for uncertain dynamic systems with time-varying delay is presented. The uncertainties are time varying and are bounded. The design procedure involves solving two Riccati equations. If the positive-definite solutions of Riccati equations also satisfy a matrix inequality then the asymptotic stability of the closed-loop system is guaranteed. Furthermore, the state observer and control law can be constructed from these solutions.

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