Title :
Robust
-Stability for a Class of Complex Singularly Perturbed Systems
Author :
Lu, Renquan ; Zou, Hongbo ; Su, Hongye ; Chu, Jian ; Xue, Anke
Author_Institution :
Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou
Abstract :
This brief is concerned with the robust D-stability problem for a class of complex singularly perturbed systems with state delay. According to singular system approach, sufficient conditions, which are tested easily, are obtained by introduce delay-dependent state feedback, to ensure that the two-time-scale systems are regular, impulse free and D -stable, that is, all its poles are located with a specified disk for all small positive parameter epsiv isin (0,epsiv*) .
Keywords :
delay systems; singularly perturbed systems; stability; state feedback; complex singularly perturbed systems; delay-dependent state feedback; robust D-stability; Asymptotic stability; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Equations; Polynomials; Robust stability; Robustness; Sufficient conditions; Complex singularly perturbed systems; robust $D$ -stability; singular system approach; small state delay;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2008.2008066