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On stability properties of time-varying systems with delays

IEEE Conference on Decision and Control and European Control Conference, 2011
We consider several stability properties in the framework of input-to-state stability for time-varying systems with delays. By following a natural approach to convert a time-varying system to an auxiliary time-invariant system, we obtain several results including Razumikhin-type stability criteria, Razumikhin-Lyapunov functions with non-strict decay ...
Shanaz Tiwari, Yuan Wang 0005
openaire   +2 more sources

Exponential Synchronization of Neural Networks With Time-Varying Delays via Dynamic Intermittent Output Feedback Control

IEEE Transactions on Systems, Man & Cybernetics. Systems, 2019
This paper addresses the exponential synchronization problem for neural networks with time-varying delays. First, a novel controller is presented by combining intermittent control with dynamic output feedback control.
Zhi-Ming Zhang   +3 more
semanticscholar   +1 more source

The passivity of neural networks with time-varying delay

2019 IEEE Symposium Series on Computational Intelligence (SSCI), 2019
This study addresses the passivity analysis of neural networks with time-varying delay. By constructing an improved Lyapunov-Krasovskii functional (LKF) and utilizing some newly integral inequalities, a further sufficient condition for the passivity of the considered system is obtained.
Jinnan Luo   +5 more
openaire   +2 more sources

Event-Triggered Exponential Synchronization for Complex-Valued Memristive Neural Networks With Time-Varying Delays

IEEE Transactions on Neural Networks and Learning Systems, 2019
This article solves the event-triggered exponential synchronization problem for a class of complex-valued memristive neural networks with time-varying delays.
Xiao-Fan Li   +3 more
semanticscholar   +1 more source

Stabilization of linear systems with time‐varying delays

International Journal of Robust and Nonlinear Control, 2012
SUMMARYThis paper is concerned with the stability and stabilization problems for a class of time‐delayed systems, whose time‐varying delays are studied via Markovian approach. By separating the delay interval into several subintervals and by considering the inherent distribution of time‐varying delay, a new model is firstly developed.
Wang, Guoliang, Zhang, Qingling
openaire   +2 more sources

Admissible Delay Upper Bounds for Global Asymptotic Stability of Neural Networks With Time-Varying Delays

IEEE Transactions on Neural Networks and Learning Systems, 2018
This paper is concerned with global asymptotic stability of a neural network with a time-varying delay, where the delay function is differentiable uniformly bounded with delay-derivative bounded from above. First, a general reciprocally convex inequality
Xian-Ming Zhang, Q. Han, Jun Wang
semanticscholar   +1 more source

Time-Varying Delay

2009
Before we complete Part I of the book, on predictor feedback for linear systems, and before we move on to delay-adaptive control in Part II, we examine a somewhat related problem of linear (time-invariant) systems with time-varying input or output delays.
openaire   +1 more source

Gradient Extremum Seeking with Time-Varying Delays

2018 Annual American Control Conference (ACC), 2018
This paper presents a gradient extremum seeking algorithm to cope with locally quadratic static maps under time-varying delays. Dealing with non constant delays has a strong impact in the predictor design in terms of the associated transport partial differential equation (PDE) with variable convection speeds as well as the conditions imposed on the ...
Tiago Roux Oliveira   +3 more
openaire   +2 more sources

Stability of time-varying switched systems with time-varying delay

Nonlinear Analysis: Hybrid Systems, 2009
The author first gives a generalization of Halanay's inequality, and then uses this inequality to obtain sufficient conditions for the stability of the following switched delay system \[ x'(t)=A_{\sigma_i}(t)x(t)+B_{\sigma_i}(t)x(t-\tau(t))+\int_{t_0}^t f_{\sigma_i}(t-s)x(s)ds, \] where \[ x(t)\in \mathbb R^n, A_{\sigma_i}(t), B_{\sigma_i}(t)\in ...
openaire   +1 more source

Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays

Applied Mathematics and Computation, 2019
This paper is concerned with the problem of non-fragile delay feedback control for neutral stochastic Markovian jump systems (NSMJSs) with time-varying delays.
Guangming Zhuang   +4 more
semanticscholar   +1 more source

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