Results 11 to 20 of about 695 (203)
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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Feedback Stabilization and Lyapunov Functions [PDF]
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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Gap Functions and Lyapunov Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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An efficient deep learning model for brain tumour detection with privacy preservation
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
Computation and Verification of Lyapunov Functions [PDF]
Summary: Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF (Radial Basis Function) and CPA (Continuous Piecewise Affine) methods.
Peter Giesl, Sigurdur F. Hafstein
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
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
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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Distributed wireless network resource optimisation method based on mobile edge computing
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
Stabilization of stochastic functional differential systems by steepest descent feedback controls
The mean‐square exponential stabilization and stochastically asymptotical stabilization for a class of stochastic functional differential systems is studied.
Xuetao Yang, Quanxin Zhu
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Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mean square summability of solution ...
Beatrice Paternoster, Leonid Shaikhet
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