Title :
Algebraic stability criterion for high order differential equations in a behavioral framework
Author :
Kaneko, Osamu ; Fuji, Takao
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
We consider the algebraic stability criterion for linear dynamical systems described by the high order differential equations in a behavioral framework. We derive our new stability criterion by using quadratic differential forms and two variable polynomial matrices. The result in this paper allows one to evaluate the asymptotic stability from the view point of original coefficient matrices
Keywords :
asymptotic stability; differential equations; linear systems; polynomial matrices; stability criteria; algebraic stability criterion; asymptotic stability; behavioral framework; coefficient matrices; differential equations; linear dynamical systems; polynomial matrix; quadratic differential forms; Asymptotic stability; Differential algebraic equations; Differential equations; Feedback; Matrices; Polynomials; Robust stability; Stability analysis; Stability criteria; Uncertainty;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760603
