Improved almost sure stability criteria of stochastic complex-valued dynamical networks with hybrid impulses

2021 ◽  
Author(s):  
Sen Li ◽  
Jiankun Sun ◽  
Xiaohua Ding
Keyword(s):  
Stability Criteria ◽  
Almost Sure Stability ◽  
Dynamical Networks ◽  
Complex Valued

scholarly journals Stability Analysis of Complex-Valued Nonlinear Differential System

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Tao Fang ◽  
Jitao Sun
Keyword(s):  
Stability Analysis ◽  
Differential System ◽  
Comparison Principle ◽  
Autonomous System ◽  
New Method ◽  
Stability Criteria ◽  
General Complex ◽  
The Stability ◽  
Nonlinear Autonomous System ◽  
Complex Valued

This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.

Synchronization of Uncertain Complex Dynamical Networks

2019 ◽  
Vol 29 (07) ◽  
pp. 923-939
Author(s):  
Lei Meng ◽  
Dongsheng Yang ◽  
Qingqi Zhao
Keyword(s):  
Function Theory ◽  
Complex Dynamical Networks ◽  
Time Variability ◽  
Stability Criteria ◽  
External Disturbances ◽  
Dynamical Networks ◽  
System Parameters ◽  
Coupling Relationship ◽  
Synchronization Problem ◽  
The Stability

The synchronization problem of a kind of complex dynamical networks with uncertain links and external disturbances is studied in this paper. The adaptive and impulsive controller is designed after a series of researches on nonlinearity of joints, time variability and uncertainty of system parameters as well as uncertainty of coupling relationship among joints. The stability criteria of the uncertain complex dynamical networks are obtained based on the robust control theory and Lyapunov function theory, thus the synchronization for this kind of complex networks can be realized. The simulation results verify the effectiveness of the method in this paper.

Approximate Stability Criteria for Some Second-Order Linear Differential Equations With Stationary-Gaussian Random Coefficients

1982 ◽  
Vol 49 (3) ◽  
pp. 648-649 ◽  
Author(s):  
G. Ahmadi ◽  
P. G. Glockner
Keyword(s):  
Differential Equations ◽  
Equilibrium State ◽  
Analytical Form ◽  
Second Order ◽  
Random Coefficients ◽  
Stability Criteria ◽  
Almost Sure Stability ◽  
Order Linear ◽  
Linear Differential ◽  
Sufficiency Conditions

Approximate sufficiency conditions for almost sure stability of the equilibrium state of some second-order linear systems with stationary-Gaussian random coefficients are obtained in analytical form.

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