Results 21 to 30 of about 348,641 (333)
Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
, 1998 In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars +2 more
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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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Global Stability of Complex-Valued Genetic Regulatory Networks with Delays on Time Scales
MATEC Web of Conferences, 2016 In this paper, the global exponential stability of complex-valued genetic regulatory networks with delays is investigated. Besides presenting conditions guaranteeing the existence of a unique equilibrium pattern, its global exponential stability is ...
Wang Yajing, Huang Zhenkun, Chen Juan
doaj +1 more source
Global exponential stability of nonautonomous neural network models with continuous distributed delays [PDF]
, 2013 For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type,
Baldi +23 more
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, 2020 Primal-dual gradient dynamics that find saddle points of a Lagrangian have been widely employed for handling constrained optimization problems. Building on existing methods, we extend the augmented primal-dual gradient dynamics (Aug-PDGD) to incorporate ...
Li, Na, Qu, Guannan, Tang, Yujie
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Periodic Solutions for a Numerical Discretization Neural Network
Discrete Dynamics in Nature and Society, 2010 The existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global ...
Chun Lu
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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
core +4 more sources
Axioms, 2023 In this paper, we study the existence and exponential stability of solutions to a class of nonlinear delay Klein–Gordon wave type models on a bounded domain.
Aziz Belmiloudi
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Nonlinear stability of stationary solutions for curvature flow with triple junction [PDF]
, 2008 In this paper we analyze the motion of a network of three planar curves with a speed proportional to the curvature of the arcs, having perpendicular intersections with the outer boundary and a common intersection at a triple junction. As a main result we
Garcke, Harald +2 more
core +6 more sources
New Results of Global Exponential Stabilization for BLDCMs System [PDF]
Mathematical Problems in Engineering, 2015 The global exponential stabilization for brushless direct current motor (BLDCM) system is studied. Four linear and simple feedback controllers are proposed to realize the global stabilization of BLDCM with exponential convergence rate; the control law used in each theorem is less conservative and more concise.
Fengxia Tian +3 more
openaire +1 more source