Abstract
Based on the matrix fraction descriptions of multi-variable control systems, this paper presents the generalized matrix Euclidean algorithms for solving Diophantine equations and associated problems. A chain rule is developed for finding the greatest common right(left) divisor of two square(non-square) polynomial matrices and the irreducible right(left) matrix fraction description from the reducible or irreducible left(right) matrix fraction description. Also, the development of multi-variable pole-assignment controllers are discussed for engineering applications.
Original language | English |
---|---|
Pages (from-to) | 55-72 |
Number of pages | 18 |
Journal | Computers and Mathematics with Applications |
Volume | 25 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1993 Jun |
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics