Results 11 to 20 of about 132,438 (286)
New Fundamental Results on the Continuous and Discrete Integro-Differential Equations
Mathematics, 2022 This work studies certain perturbed and un-perturbed nonlinear systems of continuous and discrete integro-delay differential equations (IDDEs). Using the Lyapunov–Krasovskii functional (LKF) method and the Lyapunov–Razumikhin method (LRM), uniform ...
Osman Tunç +3 more
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Preservation of uniform asymptotic stability under perturbations [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose the trivial solution of the interval initial value problem for a linear, convolution, Volterra integrodifferential equation is uniformly asymptotically stable. If the kernel in this equation is integrable, then it is shown that this stability is preserved under perturbations which are nonantisipative and of order two or more.
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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
, 2015 Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Alvarez J. +11 more
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On Stability of Linear Delay Differential Equations under Perron's Condition
Abstract and Applied Analysis, 2011 The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability ...
J. Diblík, A. Zafer
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On the practical global uniform asymptotic stability of stochastic differential equations [PDF]
, 2015 The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, in particular, of stochastic differential systems.
Caraballo, Tomas +2 more
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Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Journal of Mathematics, 2023 This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks [PDF]
, 2012 In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov ...
Adnène Arbi +2 more
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On the Stability of Some Discrete Fractional Nonautonomous Systems
Abstract and Applied Analysis, 2012 Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are ...
Fahd Jarad +3 more
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Journal of Applied Mathematics, 2013 This paper discusses the existence and global uniform asymptotic stability of almost periodic solutions for cellular neural networks (CNNS). By utilizing the theory of the almost periodic differential equation and the Lyapunov functionals method, some ...
Zongyi Hou, Hongying Zhu, Chunhua Feng
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Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems [PDF]
, 2006 We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics ...
de Queiroz, Marcio S. +2 more
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