Research Investigations in Systems Theory.
Annual rept. 1 Nov 68-31 Oct 69,
NEW YORK UNIV BRONX DEPT OF ELECTRICAL ENGINEERING
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The main areas of research which have been investigated during the second of the Grant are optimal adaptive linear systems with unknown additive noise, optimal discrete-time self adaptive filters, optimal adaptive linear systems with unknown input gain, some aspects of dual control, separation properties for problem of identification and control, the controllability of discrete-time-varying linear systems, the hierarchical control of large scale systems, and multi-reflexive regulation of heart rate during lung inflation. In the case of discrete-time filters, a numerical algorithm was derived for calculating the output of the filter which adapts to its own noise. The derivation of the optimal control laws for linear systems with unknown input gains as well as systems with unknown additive noise are new results of this research effort. Results of the investigation in dual control include the establishment of a separation property for certain problems of identification and control as well as the establishment of certain neutrality and separability properties of dual control algorithms. New sufficient conditions of controllability of discrete-time-varying systems were also obtained. Considerable insight into the multi-reflex regulation of heart rate has been gained through extensive experimental work still in progress. Author
- Theoretical Mathematics