Parallel Multi-Step/Multi-Rate Integration of Two-Time Scale Dynamic Systems

2004 ◽  
Author(s):  
Johnny Chang ◽  
Scott Ploen ◽  
Garett Sohl ◽  
Bryan Martin
Keyword(s):  
Dynamic Systems ◽  
Time Scale

scholarly journals Identification of Two-Time Scaled Systems Using Prefilters

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Anderson L. O. Cavalcanti ◽  
Karl H. Kienitz ◽  
Visakan Kadirkamanathan
Keyword(s):  
Iterative Algorithm ◽  
Dynamic Systems ◽  
Time Scale ◽  
Important Class ◽  
Wavelet Filters ◽  
Linear Dynamic Systems ◽  
System Parameters ◽  
Linear Dynamic ◽  
Multiscale Systems ◽  
Identification Processes

This paper deals with the identification of two-time scale linear dynamic systems, which are an important class of multiscale systems. Classical identification processes may fail to yield accurate parameters for systems of this class and, for this reason, the authors propose two different techniques to estimate the system parameters. The first technique utilizes two prefilters that are iteratively tuned. The second one considers wavelet filters that are tuned based on the results of the first iterative algorithm. Identification and analysis results for a dynamical aircraft model are shown to demonstrate the algorithm’s performance.

scholarly journals Oscillation of symplectic dynamic systems

2004 ◽  
Vol 46 (1) ◽  
pp. 17-32 ◽  
Author(s):  
Martin Bohner ◽  
Ondřej Došlý
Keyword(s):  
Dynamic System ◽  
Dynamic Systems ◽  
Time Scale ◽  
Unperturbed System ◽  
Perturbation Matrix ◽  
Perturbed System ◽  
Oscillatory Properties

AbstractWe investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that is unbounded above. The unperturbed system is supposed to be nonoscillatory, and we give conditions on the perturbation matrix, which guarantee that the perturbed system becomes oscillatory. Examples illustrating the general results are given as well.

scholarly journals Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems

2010 ◽  
Vol 2010 ◽  
pp. 1-18 ◽  
Author(s):  
Shurong Sun ◽  
Martin Bohner ◽  
Shaozhu Chen
Keyword(s):  
Boundary Value Problems ◽  
Spectral Theory ◽  
Hamiltonian Systems ◽  
Dynamic Systems ◽  
Time Scale ◽  
Boundary Value ◽  
Hamiltonian Dynamic ◽  
Special Cases ◽  
Linear Hamiltonian Systems ◽  
Singular Hamiltonian Systems

We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time scale𝕋, which allows one to treat both continuous and discrete linear Hamiltonian systems as special cases for𝕋=ℝand𝕋=ℤwithin one theory and to explain the discrepancies between these two theories. This paper extends the Weyl-Titchmarsh theory and provides a foundation for studying spectral theory of Hamiltonian dynamic systems. These investigations are part of a larger program which includes the following: (i)M(λ)theory for singular Hamiltonian systems, (ii) on the spectrum of Hamiltonian systems, (iii) on boundary value problems for Hamiltonian dynamic systems.

scholarly journals Symmetries for Nonconservative Field Theories on Time Scale

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 552
Author(s):  
Octavian Postavaru ◽  
Antonela Toma
Keyword(s):  
Time Scales ◽  
Dynamic Systems ◽  
Time Scale ◽  
Selection Criteria ◽  
Noether Symmetry ◽  
Field Theories ◽  
Conserved Quantities ◽  
Hamilton’S Principle ◽  
Lagrange Equations ◽  
Infinitesimal Transformations

Symmetries and their associated conserved quantities are of great importance in the study of dynamic systems. In this paper, we describe nonconservative field theories on time scales—a model that brings together, in a single theory, discrete and continuous cases. After defining Hamilton’s principle for nonconservative field theories on time scales, we obtain the associated Lagrange equations. Next, based on the Hamilton’s action invariance for nonconservative field theories on time scales under the action of some infinitesimal transformations, we establish symmetric and quasi-symmetric Noether transformations, as well as generalized quasi-symmetric Noether transformations. Once the Noether symmetry selection criteria are defined, the conserved quantities for the nonconservative field theories on time scales are identified. We conclude with two examples to illustrate the applicability of the theory.

scholarly journals Controllability of Impulsive Non–Linear Delay Dynamic Systems on Time Scale

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 93830-93839
Author(s):  
Akbar Zada ◽  
Luqman Alam ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Gohar Ali ◽  
...  
Keyword(s):  
Dynamic Systems ◽  
Time Scale ◽  
Linear Delay ◽  
Non Linear

scholarly journals Oscillation criterion for two-dimensional dynamic systems on time scales

2012 ◽  
Vol 44 (3) ◽  
pp. 227-232
Author(s):  
Taher Hassan
Keyword(s):  
Dynamic System ◽  
Time Scales ◽  
Dynamic Systems ◽  
Time Scale ◽  
Continuous Functions ◽  
Oscillation Criterion ◽  
Two Dimensional

The purpose of this paper is to prove oscillation criterion for dynamic system \begin{equation*} u^{\Delta }=pv,\qquad v^{\Delta }=-qu^{\sigma }, \end{equation*}% where $p>0$ and $q$ are rd-continuous functions on a time scale such that $% \sup \mathbb{T=\infty }$ without explicit sign assumptions on $q$ and also without restrictive conditions on the time scale $\mathbb{T}.$

Identification of Flexible Link Dynamics Using Neural Networks

1992 ◽  
Author(s):  
Lawrence D’Arcangelis ◽  
Satish S. Nair
Keyword(s):  
Neural Networks ◽  
Dynamic Systems ◽  
Time Scale ◽  
Flexible Link ◽  
Preliminary Results ◽  
Flexible Arm ◽  
Single Link ◽  
On Line ◽  
And Control

Abstract Multilayered neural networks have found widespread use in the identification and control of dynamic systems. This study considers modeling issues for two time scale systems using neural networks for reliably estimating gradients for on-line control purposes. A structure for identification of a single link flexible arm is proposed and preliminary results are presented.

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