Results 31 to 40 of about 132,438 (286)
Lyapunov stability of abstract nonlinear dynamic system in Banach space [PDF]
, 2003 The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in this paper. The Lyapunov stable theorem and the Barbashin-Krasovskii-LaSalle invariant set principle in classical theory are extended to infinite ...
Xu, GQ, Yung, SP
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Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems
Electronic Journal of Qualitative Theory of Differential EquationsIn this article, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution.
Lamiae Maia +2 more
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Stability of Planar Nonlinear Switched Systems [PDF]
, 2005 We consider the time-dependent nonlinear system $\dot q(t)=u(t)X(q(t))+(1-u(t))Y(q(t))$, where $q\in\R^2$, $X$ and $Y$ are two %$C^\infty$ smooth vector fields, globally asymptotically stable at the origin and $u:[0,\infty)\to\{0,1\}$ is an arbitrary ...
Boscain, Ugo +2 more
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Uniform Asymptotic Stability in Infinite Delay Systems
Journal of Mathematical Analysis and Applications, 1993 Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\).
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Uniform Asymptotic Stability of Abstract Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1997 The paper is devoted to a class of functional differential equations in a Banach space. Using Razumikhin's technique, the authors establish several criteria on uniform asymptotic stability in terms of two measures. In particular, a first order scalar integral-differential equation with unbounded delay is considered.
Liu, Xinzhi, Xu, Dao Yi
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Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations [PDF]
, 1986 We consider a dynamical system described by a system of ordinary differential equations which possesses a compact attracting set Λ of arbitrary shape.
Kloeden, P. E., Lorenz, J.
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Advances in Difference Equations, 2018 In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
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Stability of non-isolated asymptotic profiles for fast diffusion
, 2015 The stability of asymptotic profiles of solutions to the Cauchy-Dirichlet problem for Fast Diffusion Equation (FDE, for short) is discussed. The main result of the present paper is the stability of any asymptotic profiles of least energy.
Akagi, Goro
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Advanced Functional Materials, EarlyView.An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone +11 more
wiley +1 more source
UNIFORM STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF THE THIRD ORDER [PDF]
, 2013 In this paper, a complete Lyapunov functional was con- structed and used to obtain criteria (when p = 0) for uniform asymptotic stability of the zero solution of the nonlinear delay differential equation (1.1).
Adeleke Timothy, Ademora +1 more
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