scholarly journals Static Consensus in Passifiable Linear Networks

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Ibragim A. Junussov
Keyword(s):  
Numerical Simulations ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear Networks ◽  
Necessary And Sufficient

Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.

scholarly journals Constructing complete chaotic maps with reciprocal structures

2005 ◽  
Vol 2005 (3) ◽  
pp. 357-372 ◽  
Author(s):  
Weihong Huang
Keyword(s):  
Numerical Simulations ◽  
Chaotic Maps ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Reciprocal Structures ◽  
Functional Forms ◽  
Necessary And Sufficient

A class of unimodal complete chaotic mapsf={fL,fR}with reciprocal functional forms(fR=1/fL)are examined. The necessary and sufficient conditions are provided to construct such maps. The theoretical conclusions are then verified by numerical simulations.

scholarly journals Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Zhi Liu ◽  
Rongwei Guo ◽  
Yi Qi ◽  
Cuimei Jiang
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Synchronization Phenomenon ◽  
All Solutions ◽  
Necessary And Sufficient ◽  
Theoretical Results

In this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronization are proved. Then, based on these conditions, all solutions of such synchronization phenomenon for a given chaotic system are derived. After that, physical controllers that are not only simple but also implementable are designed to realize the simultaneity of synchronization and antisynchronization in the above system. Finally, illustrative examples based on numerical simulations are used to verify the validity and effectiveness of the above theoretical results.

Chaotic Synchronization of a Controlled, Noised, Gyroscope System With an Expected Gyroscope System

2011 ◽  
Author(s):  
Fuhong Min ◽  
Albert C. J. Luo
Keyword(s):  
Dynamical Systems ◽  
Numerical Simulations ◽  
Sufficient Conditions ◽  
Chaotic Synchronization ◽  
Necessary And Sufficient Conditions ◽  
Gyroscope System ◽  
Necessary And Sufficient

In this paper, chaotic synchronization of a controlled, noised gyroscope system with an expected gyroscope system is investigated. From the theory of discontinuous dynamical systems, the necessary and sufficient conditions of such synchronization are presented. Numerical simulations for non-synchronization, partial and full chaotic synchronizations of two gyroscope systems are carried out.

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