Results 11 to 20 of about 2,005 (225)
Advances in Difference Equations, 2004 The general method of Lyapunov functionals construction which was developed during the last decade for stability investigation of stochastic differential equations with aftereffect and stochastic difference equations is considered. It is shown that after
Leonid Shaikhet
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Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals ...
Tomas Caraballo +2 more
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Automatica, 2011 Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics
, 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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Feedback Stabilization and Lyapunov Functions [PDF]
SIAM Journal on Control and Optimization, 2000 The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Francis H. Clarke +3 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Strict Lyapunov functionals for nonlinear parabolic partial differential equations [PDF]
, 2011 International audienceFor families of partial differential equations (PDE) with particular boundary conditions, strict Lyapunov functionals are constructed.
Prieur, Christophe +3 more
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Distributed wireless network resource optimisation method based on mobile edge computing
IET Networks, EarlyView., 2022 This paper mainly compares the network ranking leader, consumption amount and network signal reception of the three algorithms. The study found that in terms of network sort captain, there are significant differences between the CPLEX algorithm, the CCST algorithm, and edge computing methods. The CCST algorithm and edge computing have little difference
Jiongting Jiang +4 more
wiley +1 more source