Control of Dynamical Systems
Final rept. 1 Jun 1975-31 May 1976
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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The problem of arbitrarily assigning closed loop poles of a linear multivariable system developed a new method, a generalization of the classical root locus method. Studies have also been conducted on the attainment to stable solutions of model matching problems. A technique was developed, based on a modified minimum energy regulator problem, to obtain feedback stabilization of linear time varying differential systems. Two methods of parameter identification for linear differential systems were developed. A study was made of bilinear control systems with applications to parachute gliding systems and the pursuit-evasion missile control problem. Studies were made of linear operator feedback for the compensation and control of multivariable systems. A number of computational methods and techniques for control problems with diffusion models were developed, in addition to the study of the application of Monte Carlo methods for the optimization of constrained noisy systems. The study of bifurcation problems has been pursued from the abstract viewpoint and for specific applications. Studies were continued for systems described by ordinary and functional differential equations.
- Statistics and Probability