Title :
A note on Kharitonov´s theorem
Author :
Auba, T. ; Funahashi, Y.
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
4/1/1993 12:00:00 AM
Abstract :
Kharitonov´s theorem on the asymptotic stability of an equilibrium position of a family of systems of linear differential equations (1978) is connected with an elementary property of Bezoutian matrices associated with positive coefficient polynomials
Keywords :
linear differential equations; matrix algebra; polynomials; stability; Bezoutian matrices; Kharitonov´s theorem; asymptotic stability; equilibrium position; linear differential equation system family; positive coefficient polynomials; Eigenvalues and eigenfunctions; Mechanical engineering; Polynomials; Stability; Symmetric matrices; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on