STABILITY OF NEUTRAL SYSTEMS WITH COMMENSURATE DELAYS AND POLES ASYMPTOTIC TO THE IMAGINARY AXIS

摘要

This paper addresses the H(infinity)-stability analysis of neutral time-delay systems with multiple commensurate delays, including those with poles asymptotic to the imaginary axis. The location of asymptotic poles is completely described, and easy-to-check necessary and sufficient conditions of H(infinity)-stability are derived. Robustness relative to a change in the delay or the parameters is discussed. Moreover, H(infinity)-stabilizability by rational controllers is considered, and, finally, several examples are given.