Title :
Robust stability of quasipolynomials: frequency-sweeping conditions
Author :
Chen, Jie ; Niculescu, Silviu-Iulian
Author_Institution :
Dept. of Electr. Eng., California Univ., Riverside, CA, USA
Abstract :
In this paper we study the robust stability independent of delay of some class of uncertain quasipolynomials, whose coefficients may vary in a certain prescribed range. Our main contributions include frequency-sweeping conditions for interval, diamond and spherical quasipolynomial families. The corresponding results provide necessary and sufficient conditions, and are easy to check, requiring only the computation of two simple frequency-dependent functions.
Keywords :
delays; frequency-domain analysis; polynomials; robust control; delays; diamond quasipolynomials; frequency dependent functions; frequency sweeping conditions; interval quasipolynomials; necessary conditions; robust stability; spherical quasipolynomials; sufficient conditions; uncertain quasipolynomials; Delay lines; Delay systems; Frequency domain analysis; Frequency measurement; Polynomials; Programmable control; Robust stability; Robustness; Testing;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272434
