Title :
A simple approach to solving the Diophantine equation
Author :
Fang, Chun-Hsiung
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan
fDate :
1/1/1992 12:00:00 AM
Abstract :
Based on the state-space concepts, a simple approach to finding all polynomial matrix solutions of the Diophantine equation is proposed. The procedure presented is very simple in comparison to earlier ones. Unlike earlier ones, it is not necessary to solve any equation. Only two constant matrices which could be selected at random are required. All solutions are expressed in an explicit formula form
Keywords :
matrix algebra; polynomials; state-space methods; Diophantine equation; constant matrices; matrix algebra; polynomial matrix solutions; state-space; Automatic control; Control system synthesis; Control systems; Equations; Genetic expression; Matrices; Output feedback; State feedback; Time varying systems; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
