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Delay‐dependent robust stability and stabilization of uncertain neutral systems
Asian Journal of Control, 2008AbstractThis paper discusses the problems of the delay‐dependent robust stability and stabilization of uncertain neutral systems with time‐varying delays. Delay‐dependent stability criteria are derived by taking the relationships between the terms in the Leibniz‐Newton formula into account.
Yong He, Min Wu, Jin‐Hua She
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Delay-dependent stability switches in fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Čermák, Jan, Kisela, Tomáš
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Delay-Dependent Stabilization for Singular Time-Delay Systems
Applied Mechanics and Materials, 2012Some new results of delay-dependent stabilization for linear singular time-delay systems are presented. And the time delay considered here is assumed to be constant but unknown. By using a new Lyapunov-krasovskii functional which splits the whole delay interval into two subintervals and defines a different energy function on each subinterval, a ...
Jin Feng Gao, Jia Ren, Chuang Meng
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On delay-dependent stability in neutral systems
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001This paper focuses on the delay-dependent stability problem of a class of linear systems described by neutral differential equations involving pointwise or discrete delays, using an appropriate parametrized model transformation of the original system.
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Delay-dependent stability of discrete-time interconnected systems
Journal of Control Theory and Applications, 2010This paper studies the delay-dependent stability problem of discrete-time interconnected systems with time-varying delays. By using vector Lyapunov function approach and linear matrix inequalities (LMIs), new stability conditions are derived. These results proposed in this paper are all at subsystems level. After comparing with the existing results, it
Xiaoheng Chang +2 more
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Delay-dependent stability domains of nonlinear delay systems
Mathematics and Computers in Simulation, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goubet-Bartholoméüs, A. +2 more
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Delay-Dependent Stability Analysis of Multi-Area LFC-EVs System
IEEE Transactions on Smart Grid, 2023IEEEIn this study, the delay-dependent stability of a multi-area Load Frequency Control (LFC) system with Electric Vehicle (EV) aggregators is investigated with the help of the Advanced Clustering with Frequency Sweeping (ACFS) method for incommensurate time delays.
Alperen Sari +3 more
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Delay-dependent stability of high order Runge–Kutta methods
Numerische Mathematik, 2008The author studies the delay-dependent stability of Runge-Kutta methods for delay differential equations. He considers the scalar delay equation \[ y^\prime(t)=\alpha y(t) + \beta y(t-\tau), \] where \(\alpha\) and \(\beta\) are real coefficients and \(\tau\) is positive, as a basic model.
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Stability Analysis of a New Delays Dependent System
2008 3rd International Conference on Innovative Computing Information and Control, 2008The stability problem of multiple additive time-delay system is considered using Lyapunov- Krasovskii stability theory. Based on the LMI (linear matrix inequality), the robust stability criterion and robust state-feedback controller design are derived for systems which may contain non-parameter uncertainties.
Jie Chen, Zhong-Ke Shi
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Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations
Circuits, Systems, and Signal Processing, 2021This paper deals with the stability and stabilization problems of time-delay systems with nonlinear perturbations. The perturbations are modelled by a nonlinear function of current and/or delayed states. By utilizing Lyapunov–Krasovskii functional, sufficient conditions are obtained in terms of LMIs for the different types of perturbations.
Majid Shahbazzadeh, Seyed Jalil Sadati
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