화학공학소재연구정보센터
SIAM Journal on Control and Optimization, Vol.56, No.1, 538-555, 2018
A UNIFIED APPROACH FOR THE H-infinity-STABILITY ANALYSIS OF CLASSICAL AND FRACTIONAL NEUTRAL SYSTEMS WITH COMMENSURATE DELAYS
We examine the stability of linear integer-order and fractional-order systems with commensurate delays of neutral type in the sense of H-infinity-stability. The systems may have chains of poles approaching the imaginary axis. While several classes of these systems have been previously studied on a case-by-case basis, a unified method is proposed in this paper which allows one to deal with all these classes at the same time. Approximation of poles of large modulus is systematically calculated based on a convex hull derived from the coefficients of the system. This convex hull also serves to establish sufficient conditions for instability and necessary and sufficient conditions for stability.