Title :
Algorithms for the Solution of Polynomial Equations Arising in Multivarible Control Theory
Author :
Chang, B-C ; Pearson, J.B.
Author_Institution :
Department of Electrical Engineering, Rice University, P. O. Box 1892, Houston, TX 77251
Abstract :
In this paper, algorithms are developed for the solution of several problems arising in linear multivariable control theory. The algorithms are based on a modification of a recent algorithm by Kung and Kailath4 for the construction of a minimal basis for the left kernel of a polynomial matrix. The basis constructed here is called a modified minimal basis (MMB) and is shown to be of significance in the solutions of the polynomial equations X(s)N(s) + Y(s)D(s) = C(s) and X(s)N(s) + D(s)Y(s) = C(s).
Keywords :
Algorithm design and analysis; Arithmetic; Content addressable storage; Control theory; Equations; Job design; Kernel; Least squares methods; Polynomials; Transfer functions;
Conference_Titel :
American Control Conference, 1983
Conference_Location :
San Francisco, CA, USA