Results 71 to 80 of about 4,419,275 (304)

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi   +2 more
wiley   +1 more source

Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia.

open access: yes, 2019
This is a collection of Julia functions which implement high performance numerical algorithms to solve classes of Lyapunov, Sylvester and Riccati matrix equations.
Varga, Andreas (8330787)   +2 more
core   +2 more sources

Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors

open access: yesMATEC Web of Conferences, 2018
This paper covers application of the novel method of Lyapunov exponents (LEs) spectrum estimation in non smooth mechanical systems. In the presented method, LEs are obtained from a Poincaré map.
Balcerzak Marek   +3 more
doaj   +1 more source

An advanced delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays

open access: yesNonlinear Analysis, 2018
In this typescript, we concerned the problem of delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays.
Selvakumar Pandiselvi   +5 more
doaj   +1 more source

Universality in chaos: Lyapunov spectrum and random matrix theory [PDF]

open access: yesPhysical Review E, 2018
5 pages + supplementary materials. v2: minor corrections, references added. v3: a lot more evidence added. v4: the version appeared in Phys.
Hanada, Masanori   +2 more
openaire   +3 more sources

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

open access: yesAsian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

A Matrix-Operator Formulation of Conformable Sylvester and Lyapunov Differential Matrix Equations

open access: yesJournal of Mathematics
This paper presents a systematic matrix-operator formulation for linear Sylvester and Lyapunov matrix differential equations governed by the conformable derivative.
Ibtisam Aldawish   +3 more
doaj   +1 more source

Maximal Lyapunov exponents for random matrix products

open access: yes, 2010
In this article we study the Lyapunov exponent for random matrix products of positive matrices and express them in terms of associated complex functions.
Pollicott, Mark, Mark Pollicott
core   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos   +3 more
wiley   +1 more source

Computational Issues in Nonlinear Dynamical Systems: Creating Bifurcation Diagrams of Lyapunov Exponents Using a Novel Adaptive Approach

open access: yesIEEE Access
Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents.
Maciej Walczak, Wieslaw Marszalek
doaj   +1 more source

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