Control Systems and Networks.

The research conducted falls into the two categories of 1 Control Systems and 2 Networks. Within the former category, work was carried out in the areas of vector-delay inverses, pseudoinverses, fixed-lag smoothing, and the design of multivariable control systems using the theories of system inverses. In the category of Networks, research was pursued on the problems of modeling, analysis, optimization, and control of large-scale distributed networks for C3. Specific issues addressed were those of hierarchical control, decomposition, and distributed intelligence in the optimization of network performance, the theory of imbedded Markov chains and the techniques of aggregation for distributed optimal control of C3 networks, modeling and performance analysis of the packet-formation process in packet-switched networks, formulation of a very fast algorithm for approximate solution of the optimal routing problem for message and packet-switched networks, optimal channel capacity assignment in networks subject to end-to-end average message delay constraints, and centralized and distributed algorithms for minimum hop routing subject to average message delay.