Displaying similar documents to “Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation”

Synchronization of time-delayed systems with discontinuous coupling

Hong-jun Shi, Lian-ying Miao, Yong-zheng Sun (2017)

Kybernetika

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This paper concerns the synchronization of time-delayed systems with periodic on-off coupling. Based on the stability theory and the comparison theorem of time-delayed differential equations, sufficient conditions for complete synchronization of systems with constant delay and time-varying delay are established. Compared with the results based on the Krasovskii-Lyapunov method, the sufficient conditions established in this paper are less restrictive. The theoretical results show that...

Time-varying time-delay estimation for nonlinear systems using neural networks

Yonghong Tan (2004)

International Journal of Applied Mathematics and Computer Science

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Nonlinear dynamic processes with time-varying time delays can often be encountered in industry. Time-delay estimation for nonlinear dynamic systems with time-varying time delays is an important issue for system identification. In order to estimate the dynamics of a process, a dynamic neural network with an external recurrent structure is applied in the modeling procedure. In the case where a delay is time varying, a useful way is to develop on-line time-delay estimation mechanisms to...

Passivity analysis of uncertain stochastic neural network with leakage and distributed delays under impulsive perturbations

Senthil Raj, Raja Ramachandran, Samidurai Rajendiran, Jinde Cao, Xiaodi Li (2018)

Kybernetika

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In this paper, the problem of passivity analysis for a class of uncertain stochastic neural networks with mixed delays and impulsive control is investigated. The mixed delays include constant delay in the leakage term, discrete and distributed delays. The discrete delays are assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By using Lyapunov stability theory, stochastic analysis, linear...

Characterization of shadowing for linear autonomous delay differential equations

Mihály Pituk, John Ioannis Stavroulakis (2025)

Czechoslovak Mathematical Journal

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A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.

Finite-time topological identification of complex network with time delay and stochastic disturbance

Yufeng Qian (2021)

Kybernetika

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The topology identification issue of complex stochastic network with delay and stochastic disturbance is mainly introduced in this paper. It is known the time delay and stochastic disturbance are ubiquitous in real network, and they will impair the identification of network topology, and the topology capable of identifying the network within specific time is desired on the other hand. Based on these discussions, the finite-time identification method is proposed to solve similar issues...