Title :
Solving matrix diophantine equations by inverting a square nonsingular system of equations
Author :
Yeung, Kai S. ; Chen, Tse-Min
Author_Institution :
Electr. Eng. Dept., Univ. of Texas, Arlington, TX, USA
Abstract :
A method for solving the Diophantine equation using a nonsingular matrix equation system is proposed in this note. A scheme of setting up a system with the same number of variables as equations is described. An analytical approach to ensure the invertibility of the system formed is given. Examples presented show the simplicity of the method.
Keywords :
adaptive control; inverse problems; matrix algebra; nonlinear equations; pole assignment; adaptive control; coefficient matching; inversion method; matrix Diophantine equations; nonsingular matrix equation system; pole placement; square nonsingular equation system; Adaptive control; Adaptive systems; Control systems; Equations; Helium; Output feedback; Polynomials; Programmable control; State feedback; Taylor series; Adaptive control; Diophantine equation; coefficient matching; nonsingular matrix equations; pole placement;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.832775
