The Experts below are selected from a list of 3915 Experts worldwide ranked by ideXlab platform
Dong Yue - One of the best experts on this subject based on the ideXlab platform.
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synchronization stability of continuous discrete complex dynamical networks with interval time varying delays
Neurocomputing, 2010Co-Authors: Dong YueAbstract:The synchronization problem of continuous/discrete general complex dynamical networks with time-varying delays is investigated. The delays considered in this paper are assumed to vary in an interval, where the lower and upper bounds are known. Based on a piecewise analysis method, the variation interval of the time delay is firstly divided into several Subintervals, by checking the variation of derivative of a Lyapunov functional in every subinterval, then the convexity of matrix function method and the free-weighting matrix method are fully used in this paper. Some new delay-dependent synchronization stability criteria are derived in the form of linear matrix inequalities. Several numerical examples show that our method can lead to much less conservative results than those in the existing references.
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a piecewise analysis method to stability analysis of linear continuous discrete systems with time varying delay
International Journal of Robust and Nonlinear Control, 2009Co-Authors: Dong Yue, Engang Tian, Yijun ZhangAbstract:The delay-dependent stability problem of linear continuous/discrete systems with time-varying delay is investigated based on a piecewise analysis method (PAM). In the method, the variation interval of the time delay is firstly divided into several Subintervals. By checking the variation of the Lyapunov functional in every subinterval, some new delay-dependent stability criteria are derived. Several numerical examples show that our method can lead to much less conservative results than those in the existing references. Moreover, when the number of the divided Subintervals increases, the corresponding criteria can provide an improvement on the results. Copyright © 2008 John Wiley & Sons, Ltd.
Yijun Zhang - One of the best experts on this subject based on the ideXlab platform.
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a piecewise analysis method to stability analysis of linear continuous discrete systems with time varying delay
International Journal of Robust and Nonlinear Control, 2009Co-Authors: Dong Yue, Engang Tian, Yijun ZhangAbstract:The delay-dependent stability problem of linear continuous/discrete systems with time-varying delay is investigated based on a piecewise analysis method (PAM). In the method, the variation interval of the time delay is firstly divided into several Subintervals. By checking the variation of the Lyapunov functional in every subinterval, some new delay-dependent stability criteria are derived. Several numerical examples show that our method can lead to much less conservative results than those in the existing references. Moreover, when the number of the divided Subintervals increases, the corresponding criteria can provide an improvement on the results. Copyright © 2008 John Wiley & Sons, Ltd.
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new stability criteria of neural networks with interval time varying delay a piecewise delay method
Applied Mathematics and Computation, 2009Co-Authors: Yijun Zhang, Engang TianAbstract:Abstract This paper provides improved conditions for the global asymptotic stability of a class of neural networks with interval time-varying delays. A piecewise delay method is firstly proposed. In this method, the variation interval of the time delay is divided into two Subintervals by introducing its central point. Then, by constructing a new Lyapunov–Krasovskii functional and checking its variation in the two Subintervals, respectively, some new delay-dependent stability criteria for the addressed neural networks are derived. Numerical examples are provided to show that the achieved conditions are less conservative than some existing ones in the literature.
Muhammad Sajid - One of the best experts on this subject based on the ideXlab platform.
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a legendre wavelet spectral collocation technique resolving anomalies associated with velocity in some boundary layer flows of walter b liquid
Meccanica, 2017Co-Authors: Muhammad Sajid, S A Iqbal, N Ali, Tasawar HayatAbstract:A Legendre wavelet spectral collocation method is proposed here to solve three boundary layer flow problems of Walter-B fluid namely the stagnation point flow, Blasius flow and Sakiadis flow. In the proposed method, we first transform the boundary value problems into initial value problems using shooting method. We then split the semi infinite domain into Subintervals and the governing initial value problems are transformed to system of algebraic equations in each subinterval. The solutions of these algebraic equations yield an approximate solution of the differential equation in each subinterval. The overshoot in the velocity profile associated with the stagnation point and Blasius flows and undershoot in the Sakiadis flow is controlled. Physically realistic solutions are presented for both weakly and strongly viscoelastic parameters. The residual error validates the correctness, convergence and accuracy of the obtained solutions.
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A Hybrid Variational Iteration Method for Blasius Equation
2015Co-Authors: Muhammad Sajid, Zaheer Abbas, Naeem Ali, Tariq JavedAbstract:The objective of this paper is to present the hybrid variational iteration method. The proposed algorithm is based on the combination of variational iteration and shooting methods. In the proposed algorithm the entire domain is divided into Subintervals to establish the accuracy and convergence of the approximate solution. It is found that in each subinterval a three term approximate solution using variational iteration method is sufficient. The proposed hybrid variational iteration method offers not only numerical values, but also closed form analytic solutions in each subinterval. The method is implemented using an examp�� of the Blasius equation. The results show that a hybrid variational iteration method is a powerful technique for solving nonlinear pro��ems.
Jian Liu - One of the best experts on this subject based on the ideXlab platform.
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Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters
Journal of Fluids and Structures, 2013Co-Authors: Baizhan Xia, Jian LiuAbstract:Abstract Interval and subinterval perturbation methods have been widely applied in response analyses of the uncertain structure with interval parameters. In this paper, based on the characteristics of structural-acoustic systems, the interval and subinterval perturbation methods are extended to calculate the frequency response intervals of a structural-acoustic system with interval parameters. In the extended methods, the interval dynamic equilibrium equation of the structural-acoustic system is established, and interval operations are implemented at an element-by-element level in the finite element framework. The numerical results for two structural-acoustic models verify the accuracy and effectiveness of the proposed methods.
Guanghong Yang - One of the best experts on this subject based on the ideXlab platform.
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optimal partitioning method for stability analysis of continuous discrete delay systems
International Journal of Robust and Nonlinear Control, 2015Co-Authors: Zhiguang Feng, James Lam, Guanghong YangAbstract:Summary This paper is concerned with the problem of stability analysis for continuous-time/discrete-time systems with interval time-varying delay. Based on the idea of partitioning the delay interval into l nonuniform Subintervals, new Lyapunov functionals are established. By utilizing the reciprocally convex approach to deal with the delay information in each subinterval, sufficient stability conditions are proposed in terms of linear matrix inequalities. Based on these criteria, the optimal partitioning method is given on the basis of the genetic algorithm. Finally, the reduced conservatism of the results in this paper is illustrated by numerical examples. Copyright © 2013 John Wiley & Sons, Ltd.
