A NEW APPROXIMATION METHOD FOR TIME-DELAY SYSTEMS

In this note, we develop a new rational approximant Bn-alpha of e(-ds) and make a detailed analysis on the approximant B(n)(alpha)G of e(-ds ) G, where G epsilon RL2. We prove L-p=2,L-infinity error convergence and provide corresponding error bounds explicitly. Comparative study w ith other approximants is performed in order to make clear the propert ies of B-n(alpha). Making full use of its recursive structure, B-n(alp ha) is shown to be a suitable approximant for a class of H-infinity pr oblems involving time delay.