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Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems
2016 Chinese Control and Decision Conference (CCDC), 2016The main results of the paper are generalizations of the Razumikhin and of the Krasovskii classical stability theorems for stability analysis of time-varying time-delay systems. The condition of negativity of the time-derivative of Razumikhin functions and Krasovskii functionals is weakened.
Bin Zhou, Alexey V. Egorov
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Reset observers for linear time-varying delay systems: Delay-dependent approach
Journal of the Franklin Institute, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Guanglei, Wang, Jingcheng
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DELAY-DEPENDENT ASYMPTOTIC STABILITY OF NEURAL NETWORKS WITH TIME-VARYING DELAYS
International Journal of Bifurcation and Chaos, 2008This paper considers the problem of stability analysis for neural networks with time-varying delays. The time-varying delays under consideration are assumed to be bounded but not necessarily differentiable. In terms of a linear matrix inequality, a delay-dependent asymptotic stability condition is developed, which ensures the existence of a unique ...
Lam, J, Ho, DWC, Xu, S
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Asian Journal of Control, 2011
AbstractA new adaptive learning control approach is proposed for a class of first‐order nonlinear systems with two unknown time‐varying parameters and an unknown time‐varying delay. By reconstructing the system equation, all unknown time‐varying terms, including the time‐varying delay, are combined into an unknown periodic time‐varying vector, which is
Chen, Weisheng, Zhang, Zhengqiang
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AbstractA new adaptive learning control approach is proposed for a class of first‐order nonlinear systems with two unknown time‐varying parameters and an unknown time‐varying delay. By reconstructing the system equation, all unknown time‐varying terms, including the time‐varying delay, are combined into an unknown periodic time‐varying vector, which is
Chen, Weisheng, Zhang, Zhengqiang
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State Space for Time Varying Delay
2012The construction of a state space for systems with time variant delay is analyzed. We show that under causality and consistency constraints a state space can be derived, but fails if the conditions are not satisfied. We rederive a known result on spectral reachability using an discretization approach followed by taking limits.
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Delay-Dependent Stability Analysis for Switched Neural Networks With Time-Varying Delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2011In this paper, the problem of stability analysis is investigated for switched neural networks with time-varying delay using linear matrix inequality (LMI) approach. By taking advantage of the average dwell time method, two sufficient conditions are developed to ensure the global exponential stability of the considered neural networks, which are delay ...
Shi, Peng +3 more
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H∞ finite time control for discrete time-varying system with interval time-varying delay
Journal of the Franklin Institute, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Menghua Chen, Jian Sun
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Delay-Dependent Stability for Recurrent Neural Networks With Time-Varying Delays
IEEE Transactions on Neural Networks, 2008This brief is concerned with the stability for static neural networks with time-varying delays. Delay-independent conditions are proposed to ensure the asymptotic stability of the neural network. The delay-independent conditions are less conservative than existing ones.
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