Damping margins of polynomials with perturbed coefficients
- 1 May 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 33 (5) , 509-511
- https://doi.org/10.1109/9.1242
Abstract
Considers the polynomial P(s)=t/sub 0/S/sup n/+t/sub 1/ S/sup n-1/+...+t/sub n/ where 0<a/sub j/<or=t/sub j/<or=b/sub j/. Recently, V.L. Kharitonov (1978) derived a necessary and sufficient condition for this polynomial to have only zeros in the open left-half plane. Two lemmas are derived to investigate the existence of theorems similar to the theorem of Kharitonov. Using these lemmas, the theorem of Kharitonov is generalized for P(s) to have only zeros within a sector in the complex plane. The aperiodic case is also considered.Keywords
This publication has 3 references indexed in Scilit:
- Dynamic path planning for a mobile automaton with limited information on the environmentIEEE Transactions on Automatic Control, 1986
- Stability of polynomials under coefficient perturbationIEEE Transactions on Automatic Control, 1985
- Linear system stability under parameter uncertaintiesInternational Journal of Control, 1983