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Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions

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  • Athanasios A. Pantelous
  • Athanasios D. Karageorgos
  • Grigoris I. Kalogeropoulos
  • Kostas G. Arvanitis

Abstract

In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions.

Suggested Citation

  • Athanasios A. Pantelous & Athanasios D. Karageorgos & Grigoris I. Kalogeropoulos & Kostas G. Arvanitis, 2010. "Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-24, March.
    • Handle: RePEc:hin:jnlaaa:897301
    DOI: 10.1155/2010/897301
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