Results 171 to 180 of about 2,005 (225)

Lyapunov functionals and matrices

Annual Reviews in Control, 2010
Abstract In this contribution we present some basic results concerning the computation of quadratic functionals with prescribed time derivatives for linear time delay systems. Some lower and upper bounds for the functionals are given. The functionals are defined by special matrix valued functions. These functions are called Lyapunov matrices.
V L Kharitonov
exaly   +2 more sources

About Lyapunov functionals construction for difference equations with continuous time

open access: yesApplied Mathematics Letters, 2004
Stability investigation of hereditary systems is connected often with construction of Lyapunov functionals. One general method of Lyapunov functionals construction was proposed and developed in [1–9] both for differential equations with aftereffect and ...
Leonid Shaikhet
exaly   +2 more sources

Lyapunov-Krasovskii Functionals Parameterized with polynomials [PDF]

open access: yesIFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2009
International audienceA novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are
Alexandre Seuret
exaly   +2 more sources

Some peculiarities of the general method of Lyapunov functionals construction

open access: yesApplied Mathematics Letters, 2002
The general method of Lyapunov functionals construction for stability investigation of stochastic hereditary systems which was proposed and developed before is considered.
V Kolmanovskii, Leonid Shaikhet
exaly   +2 more sources

Method of Lyapunov functionals construction in stability of delay evolution equations [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2007
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, that was proposed by V.Kolmanovskii and L.Shaikhet and successfully used already for ...
Tomáš Caraballo   +2 more
exaly   +2 more sources

On almost Lyapunov functions

53rd IEEE Conference on Decision and Control, 2014
We study asymptotic stability properties of nonlinear systems in the presence of “almost Lyapunov” functions which decrease along solutions in a given region not everywhere but rather on the complement of a set of small volume. Nothing specific about the structure of this set is assumed besides an upper bound on its volume.
Daniel Liberzon   +2 more
openaire   +1 more source

On quadratic lyapunov functions

IEEE Transactions on Automatic Control, 2003
A topological structure, as a subset of [0,2/spl pi/)/sup L//spl times//spl Ropf//sub +//sup n-1/, is proposed for the set of quadratic Lyapunov functions (QLFs) of a given stable linear system. A necessary and sufficient condition for the existence of a common QLF of a finite set of stable matrices is obtained as the positivity of a certain integral ...
Daizhan Cheng   +2 more
openaire   +1 more source

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