A New Slack Lyapunov Functional for Dynamical System with Time Delay [PDF]
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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A Lyapunov functional for a system with both lumped and distributed delay [PDF]
Archives of Control Sciences, 2017 In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix.
Duda Jozef
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Note on the Lyapunov functional method
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingxin Wang
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LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions [PDF]
Abstract and Applied Analysis, 2014 We investigate LaSalle-type theorems for general nonlinear stochastic functional differential equations. With some preliminaries on lemmas and the derivation techniques, we establish three LaSalle-type theorems for the general nonlinear stochastic ...
Xueyan Zhao, Feiqi Deng, Xiaojing Zhong
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Stabilization and control of unstable discrete linear delay systems using pole-placement and Lyapunov-Krasovskii Functional Methods [PDF]
مجلة جامعة الزيتونةStabilizing and controlling unstable discrete linear delay systems present significant challenges, primarily due to the destabilizing effects of time delays.
Abdunaser Abdusamad, Farag Mousa
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On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
V. Lakshmikantham, S. Leela
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State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics [PDF]
, 2023 46 pages, 1 tableInternational audienceThis paper is motivated by the study of Lyapunov functionals for four equations describing free surface flows in fluid dynamics: the Hele-Shaw and Mullins-Sekerka equations together with their lubrication ...
Bresch, Didier, Alazard, Thomas
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Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional
Advances in Difference Equations, 2021 In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient ...
Lihua Dai +3 more
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Nonlinear Spatiotemporal Viral Infection Model with CTL Immunity: Mathematical Analysis
Mathematics, 2020 A mathematical model describing viral dynamics in the presence of the latently infected cells and the cytotoxic T-lymphocytes cells (CTL), taking into consideration the spatial mobility of free viruses, is presented and studied.
Jaouad Danane +3 more
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