Generalized regular differential systems with distributed delay

Grigoris I. Kalogeropoulos; Olha Kossak; Athanasios A. Pantelous

Generalized regular differential systems with distributed delay

Grigoris I. Kalogeropoulos, Olha Kossak, Athanasios A. Pantelous

Research output: Contribution to journal › Article › Research › peer-review

Abstract

In this paper, a special class of generalized regular differential delay systems with constant coefficients is extensively studied. In practice, these kinds of systems can model the size of a population or the value of an investment. By considering the regular Matrix Pencil approach we finally decompose it into two subsystems, whose solutions are obtained. Moreover, since the initial function is given, the corresponding initial value problem is uniquely solvable. Finally, an illustrative application is presented using dde23 MatLab (m-) file based on the explicit Runge-Kutta method.

Original language	English
Pages (from-to)	15-22
Number of pages	8
Journal	Systems Science
Volume	34
Issue number	1
Publication status	Published - 2008
Externally published	Yes

Keywords

Generalized Regular Delay Systems
Matrix Pencil Theory

Cite this

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abstract = "In this paper, a special class of generalized regular differential delay systems with constant coefficients is extensively studied. In practice, these kinds of systems can model the size of a population or the value of an investment. By considering the regular Matrix Pencil approach we finally decompose it into two subsystems, whose solutions are obtained. Moreover, since the initial function is given, the corresponding initial value problem is uniquely solvable. Finally, an illustrative application is presented using dde23 MatLab (m-) file based on the explicit Runge-Kutta method.",

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AU - Kalogeropoulos, Grigoris I.

AU - Kossak, Olha

AU - Pantelous, Athanasios A.

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N2 - In this paper, a special class of generalized regular differential delay systems with constant coefficients is extensively studied. In practice, these kinds of systems can model the size of a population or the value of an investment. By considering the regular Matrix Pencil approach we finally decompose it into two subsystems, whose solutions are obtained. Moreover, since the initial function is given, the corresponding initial value problem is uniquely solvable. Finally, an illustrative application is presented using dde23 MatLab (m-) file based on the explicit Runge-Kutta method.

AB - In this paper, a special class of generalized regular differential delay systems with constant coefficients is extensively studied. In practice, these kinds of systems can model the size of a population or the value of an investment. By considering the regular Matrix Pencil approach we finally decompose it into two subsystems, whose solutions are obtained. Moreover, since the initial function is given, the corresponding initial value problem is uniquely solvable. Finally, an illustrative application is presented using dde23 MatLab (m-) file based on the explicit Runge-Kutta method.

KW - Generalized Regular Delay Systems

KW - Matrix Pencil Theory

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Generalized regular differential systems with distributed delay

Abstract

Keywords

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