Rectangular co-solutions of polynomial matrix equations and applications
β Scribed by L. Jodar; E. Navarro
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 264 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this paper we introduce the concept of rectangular co-solution of a polynomial matrix equation which permit us to obtain a description of the general solution of systems of higher order differential equations with constant coefficients in a way analogous to the scalar case.
π SIMILAR VOLUMES
In this paper we introduce the concept of co-solution of a polynomial matrix equation which permits us to obtain necessary and suthcient conditions so that a set of solutions be a complete set.
ln this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric matrix function. The differential equation satisfied by them is presented. A Rodrigues' formula, orthogonality, and a three terms matrix recurrence relationship are then developed for Jacobi matrix polynomials.
With the help of the Kronecker map, a complete, general and explicit solution to the Yakubovich matrix equation V -AV F = BW , with F in an arbitrary form, is proposed. The solution is neatly expressed by the controllability matrix of the matrix pair (A, B), a symmetric operator matrix and an observ