Title :
On damping ratio of polynomials with perturbed coefficients
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fDate :
2/1/1992 12:00:00 AM
Abstract :
C.B. Soh and C.S. Berger (1988) derived a sufficient condition for a family of interval polynomials to have a damping ratio of φ using Kharitonov´s theorem for complex polynomials. This paper points out that the transformations used by Soh and Berger to obtain the sufficient conditions also guarantee a simplification of Kharitonov´s theorem for complex polynomials. That is, the number of required polynomials to be Hurwitz is half the number specified by Soh and Berger
Keywords :
polynomials; Hurwitz polynomials; Kharitonov´s theorem; complex polynomials; damping ratio; interval polynomials; perturbed coefficients; sufficient condition; Automata; Automatic control; Books; Control systems; Controllability; Damping; Inhibitors; Polynomials; Sufficient conditions; Supervisory control;
Journal_Title :
Automatic Control, IEEE Transactions on