Title :
Hermite, Lienard-Chipart, Markov matrices and the controllability gramians
Author :
Wu, Q.-H. ; Mansour, M.
Author_Institution :
Autom. Control Lab., ETH-Zentrum, Zurich, Switzerland
Abstract :
The computation of the controllability gramian associated with a real polynomial f(s) is considered. It is shown that the inverses of the matrices arising in the Hermite, Lienard-Chipart and Markov criteria can be represented as the controllability gramian of 1/ f(s). The corresponding state-space realizations are also established
Keywords :
controllability; matrix algebra; polynomials; state-space methods; Hermite criteria; Lienard-Chipart criteria; Markov criteria; controllability gramians; inverses; real polynomial; state-space realizations; Automatic control; Controllability; Equations; Laboratories; Polynomials; Stability criteria; Symmetric matrices; Tellurium;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371759
