Results 61 to 70 of about 10,725,924 (346)

Exponential form for Lyapunov function and stability analysis of the fractional differential equations

open access: yesJournal of Mathematics and Computer Science, 2018
This paper deals with an exponential form for Lyapunov function, in perspective to analyze the Lyapunov characterization of the Mittag-Leffler stability and the asymptotic stability for the fractional differential equations.
N. Sene
semanticscholar   +1 more source

Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field

open access: yesAdvanced Robotics Research, EarlyView.
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao   +3 more
wiley   +1 more source

Design of Connectivity Preserving Flocking Using Control Lyapunov Function

open access: yesJournal of Robotics, 2016
This paper investigates cooperative flocking control design with connectivity preserving mechanism. During flocking, interagent distance is measured to determine communication topology of the flocks.
Bayu Erfianto   +3 more
doaj   +1 more source

Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis [PDF]

open access: yesIMA Journal of Mathematical Control and Information, 2014
In this paper, we examine linear programming (LP) based relaxations for synthesizing polynomial Lyapunov functions to prove the stability of polynomial ODEs.
Mohamed Amin Ben Sassi   +3 more
semanticscholar   +1 more source

Highly Secure In Vivo DNA Data Storage Driven by Genomic Dynamics

open access: yesAdvanced Science, EarlyView.
Integrated computational‐biological programming enables secure in vivo data storage by generating code tables from either genomes or gene regulatory networks, expanding the encryption key space by over 100 orders of magnitude. Storing code tables within synthetic genes, genomes, or gene regulatory networks adds an additional layer of security by ...
Jiaxin Xu   +9 more
wiley   +1 more source

Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model [PDF]

open access: yesAUT Journal of Electrical Engineering, 2018
In this paper, we are going to estimate the domain of attraction of tumor-free equilibrium points in a perturbed cancer tumor model describing the tumor-immune system competition dynamics.
A. Dini, M.J. Yazdanpanah
doaj   +1 more source

Further Results on Lyapunov Functions for Slowly Time-Varying Systems

open access: yes, 2006
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially ...
Malisoff, Michael, Mazenc, Frederic
core   +3 more sources

Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues

open access: yesAdvanced Science, EarlyView.
By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu   +3 more
wiley   +1 more source

Feedback Stabilization and Lyapunov Functions [PDF]

open access: yesSIAM 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 ...
Clarke, F.H.   +3 more
openaire   +2 more sources

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