NEW SUFFICIENT CONDITIONS FOR STRONG SIMULTANEOUS STABILIZATION C.T. Abdallah, P. Dorato Department of EECE University of New Mexico Albuquerque, NM 87131, USA and M. Bredemann Sandia National Laboratories Div. 9222, Mail Stop 0972 Albuquerque, NM 87185, USA Corresponding Author: C.T. Abdallah ABSTRACT In this brief paper we present sufficient conditions for the existence of a single stable con- troller to stabilize a set of n SISO plants: P 1 ,P 2 , ..., P n (strong simultaneous stabilization). As is well known this is equivalent to the existence of a single controller, not necessarily stable, to stabilize n + 1 plants (simultaneous stabilization). The basic assumption required in the current paper is that all the plants have the same unstable zeros. A practical example of where such an assumption holds, is when each plant has the same pure delay which is approximated by a non-minimum phase rational function. The results here are applied to examples of this type. Key Words. Simultaneous stabilization, linear systems, interpolation algorithm.