Solving LTI Descriptor (Regular) Differential Multi-Delay Systems Using Matrix Pencil Theory

Author

Pantelous, Athanasios A.

Author_Institution

Dept. of Math. Sci., Univ. of Liverpool, Liverpool, UK

fYear

2009

fDate

7-9 Sept. 2009

Firstpage

210

Lastpage

215

Abstract

In this paper, a special class of differential systems, which is known as linear, time invariant (LTI) descriptor (regular) differential systems with multi delays, is analytically studied. These kinds of systems are inherent in many physical, financial, and engineering applications. Using some elements of matrix pencil theory, we decompose the main system into two subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable, and an illustrative example is presented using Matlab m-file (dde23) based on the explicit Runge-Kutta method.

Keywords

Runge-Kutta methods; delays; linear systems; matrix algebra; LTI descriptor; Matlab m-file; Runge-Kutta method; differential multi-delay systems; linear time invariant descriptor; matrix pencil theory; Analytical models; Computational intelligence; Computational modeling; Control systems; Delay effects; Delay systems; Differential equations; Mathematical model; Matrix decomposition; Transportation; Delays; Linear Descriptor Systems; Matrix Pencil Theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence, Modelling and Simulation, 2009. CSSim '09. International Conference on

Conference_Location

Brno

Print_ISBN

978-1-4244-5200-2

Electronic_ISBN

978-0-7695-3795-5

Type

conf

DOI

10.1109/CSSim.2009.9

Filename

5350098