Results 21 to 30 of about 78,251 (234)

Nonexistence of Lyapunov exponents for matrix cocycles [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017
arXiv admin note: substantial text overlap with arXiv:0808.0350 by other ...
openaire   +3 more sources

Lyapunov matrices approach to the parametric optimization of time-delay systems

open access: yesArchives of Control Sciences, 2015
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Józef
doaj   +1 more source

Direct methods for matrix Sylvester and Lyapunov equations

open access: yesJournal of Applied Mathematics, 2003
We revisit the two standard dense methods for matrix Sylvester and Lyapunov equations: the Bartels-Stewart method for A1X+XA2+D=0 and Hammarling's method for AX+XAT+BBT=0 with A stable.
Danny C. Sorensen, Yunkai Zhou
doaj   +1 more source

Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays

open access: yesArchives of Control Sciences, 2016
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
doaj   +1 more source

The Ψ−asymptotic equivalence of the Lyapunov matrix differential equations with modified argument [PDF]

open access: yesITM Web of Conferences, 2022
Using the notion of strict h−contraction, existence results for Ψ−asymptotic equivalence of two pairs of (Lyapunov) matrix differential equations with modified argument are given.
Diamandescu Aurel
doaj   +1 more source

Quantum Lyapunov spectrum

open access: yesJournal of High Energy Physics, 2019
We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production.
Hrant Gharibyan   +3 more
doaj   +1 more source

Novel Robust Stability Criteria for Uncertain Stochastic Neural Networks with Time-Varying Delay [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2009
This paper considers the robust stability analysis problem for a class of uncertain stochastic neural net- works with time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the
Yunrui Guo, Yonggang Chen, Wenlin Li
doaj   +1 more source

Dynamics of spinning test particles in Kerr spacetime [PDF]

open access: yes, 2002
We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive dependence on initial ...
Hartl, Michael D.
core   +2 more sources

Lyapunov exponents for products of complex Gaussian random matrices

open access: yes, 2012
The exact value of the Lyapunov exponents for the random matrix product $P_N = A_N A_{N-1}...A_1$ with each $A_i = \Sigma^{1/2} G_i^{\rm c}$, where $\Sigma$ is a fixed $d \times d$ positive definite matrix and $G_i^{\rm c}$ a $d \times d$ complex ...
A. Comtet   +27 more
core   +1 more source

On the Lyapunov Matrix of Linear Delay Difference Equations in Continuous Time

open access: yes, 2016
The fundamental matrix and the delay Lyapunov matrix of linear delay difference equations are introduced. Some properties of the Lyapunov matrix, and the jump discontinuities of its derivative are proven, leading to its construction in the case of single
Di Loreto, Michael   +2 more
core   +3 more sources

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