Results 31 to 40 of about 2,005 (225)
Review on the Stability of the Peregrine and Related Breathers
Frontiers in Physics, 2020 In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev.
Miguel A. Alejo +2 more
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Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals
, 2023 We employ Lyapunov types functions and functionals and obtain sufficient conditions that guarantee the boundedness and the exponential decay of solutions, stability and exponential stability of the zero solution in nonlinear delay and neutral ...
Raffoul, Youssef N.
core +2 more sources
Constructing Lyapunov-Krasovskii functionals for linear time delay systems
, 2005 We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional Linear Matrix ...
Papachristodoulou, Antonis +3 more
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Mathematics, 2020 State observers for systems having Lipschitz nonlinearities are considered for what concerns the stability of the estimation error by means of a decomposition of the dynamics of the error into the cascade of two systems. First, conditions are established
Angelo Alessandri +2 more
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Asymptotic stabilization for nonlinear systems with time‐varying delays
IET Control Theory & Applications, 2023 In this paper, asymptotic stabilization problem for a class of nonlinear systems with unknown time‐varying delays is addressed. With the introduced static gain functions and new Lyapunov–Krasovskii functionals, a novel output feedback control strategy is
Wenjie Li, Zhengqiang Zhang
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Lyapunov functionals and stability of stochastic functional differential equations
, 2013 Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals
Shaikhet, Leonid
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Lyapunov functionals for the heat equation and sharp inequalities
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013 The heat equation represents a powerful instrument to obtain a number of mathematical inequalities in sharp form. This may be not so well-known property goes back more or less to half a century ago, when independently from each others, researchers from ...
Giuseppe Toscani
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Stability bound analysis of singularly perturbed systems with time-delay [PDF]
Chemical Industry and Chemical Engineering Quarterly, 2013 This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals.
Sun Fengqi +3 more
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Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, EarlyView.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
Міжнародний науково-технічний журнал "Проблеми керування та інформатики"The model of immunosensor is considered, which is based on a system of lattice differential equations with delay. The main result of the work is the conditions for the global asymptotic stability of the endemic state.
V.P. Martsenyuk +2 more
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