The purpose of this report is to summarize the opinions and discussions presented by members of the informal group that surveyed the state of the art in modern system science and control theory and to summarize certain of the recommendations dealing with needs for future developments in both theory and algorithmic approaches. The members of the informal group that contributed to this exchange of ideas were: L.A. Zadeh, J.C. Willems, P.P. Varayia, E. Gilbert, H.J. Kushner, R. Drenick, Y.C. Ho, R. Baum, D. Kendrick, A.P. Sage, and M. Athans. Other workshop attendees also participated in a part time basis. It should be noted that the material contained in this report represents the interpretation by the author of the many remarks voiced at the Workshop meeting; it probably does not represent an exact consensus of each and every member of the discussion group.