Results 71 to 80 of about 10,459,087 (262)

Quasi-solutions, vector Lyapunov functions, and monotone method [PDF]

open access: green, 1981
V. Lakshmikantham   +2 more
openalex   +1 more source

Input-to-Output Stability for Stochastic Complex Networked Control Systems

open access: yesAxioms
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to ...
Xuexin Li, Shang Gao
doaj   +1 more source

Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

open access: yesJournal of Applied Mathematics, 2013
We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji   +3 more
doaj   +1 more source

On Continuation and Convex Lyapunov Functions

open access: yesIEEE Transactions on Automatic Control
Final version, 12 pages, to appear in the IEEE Transactions on Automatic ...
Wouter Jongeneel, Roland Schwan
openaire   +2 more sources

Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations

open access: yesElectronic Journal of Differential Equations, 2011
A system of linear autonomous difference equations $x(n+1)=Ax(n)$ is considered, where $xin mathbb{R}^k$, $A$ is a real nonsingular $kimes k$ matrix.
Alexander O. Ignatyev, Oleksiy Ignatyev
doaj  

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