Title :
New stability conditions for matrix polynomials using a block-bidiagonal form
Author :
Resende, P. ; Kaszkurewicz, E.
Author_Institution :
Dept. of Electron. Eng., Univ. Federal Minas Gerais, Brazil
Abstract :
The authors present sufficient conditions for the stability of matrix polynomials based on algebraic properties of a block-bidiagonal form. This block-bidiagonal form corresponds to a state-space description of a multivariate feedback system associated with the matrix polynomial. An algorithm to obtain this block-bidiagonal form is presented. The stability results are based on the Lyapunov theory in conjunction with properties of this type of representation. Illustrative examples are given.<>
Keywords :
multivariable systems; polynomials; stability; state-space methods; Lyapunov theory; algebraic properties; block-bidiagonal form; matrix polynomials; multivariate feedback system; stability conditions; state-space description; Asymptotic stability; Equations; Iterative algorithms; Matrices; Polynomials; State feedback; State-space methods; Sufficient conditions; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.14945
