Results 51 to 60 of about 114,687,083 (175)

Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

open access: yesAdvances in Difference Equations, 2018
In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential ...
Yong-Ki Ma, G. Arthi, S. Marshal Anthoni
doaj   +1 more source

Mean-square exponential input-to-state stability of stochastic inertial neural networks

open access: yesAdvances in Difference Equations, 2021
By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
doaj   +1 more source

Stochastic Memristive Quaternion-Valued Neural Networks with Time Delays: An Analysis on Mean Square Exponential Input-to-State Stability

open access: yesMathematics, 2020
In this paper, we study the mean-square exponential input-to-state stability (exp-ISS) problem for a new class of neural network (NN) models, i.e., continuous-time stochastic memristive quaternion-valued neural networks (SMQVNNs) with time delays ...
Usa Humphries   +6 more
doaj   +1 more source

Exponential stability for a class of singularly perturbed It\^{o} differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.
V. Dragan, T. Morozan
doaj   +1 more source

Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays

open access: yesAdvances in Difference Equations, 2021
In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems into equivalent real-valued systems; by using ...
Lihua Dai, Yuanyuan Hou
doaj   +1 more source

Mean Square Exponential Stability of Stochastic Complex‐Valued Neural Networks with Mixed Delays [PDF]

open access: yesComplexity, 2019
This paper investigates the mean square exponential stability problem of a class of complex‐valued neural networks with stochastic disturbance and mixed delays including both time‐varying delays and continuously distributed delays. Under different assumption conditions concerning stochastic disturbance term from the existing ones, some sufficient ...
Xiaohui Xu, Jibin Yang, Yanhai Xu
openaire   +4 more sources

Stability of Stochastic Coupled Networks with Time-Varying Coupling Under Intermittent Event-Triggered Control

open access: yesActuators
This paper studies the exponential stability in the mean square of the stochastic complex networks with time-varying coupling under an intermittent dynamic event-triggered control.
Yongbao Wu, Jiayi Bing
doaj   +1 more source

On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]

open access: yes, 2007
This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core   +1 more source

Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation [PDF]

open access: yes, 2001
Copyright [2001] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Wang, Z, Burnham, KJ
core   +4 more sources

Self-Triggered Impulsive Control for Exponential Synchronization of Complex Networks Subject to Cyber Attacks

open access: yesMathematics
The exponential synchronization in mean square for complex networks by using two self-triggered impulsive control mechanisms under denial-of-service (DoS) and deception attacks is studied in this paper.
Xin Liu   +4 more
doaj   +1 more source

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