Investigation of Nonlinear Control Systems. Part 7. Statistical Trends in Control Theory

摘要

This report presents a review of the general scope of efforts and results on the statistical or non-deterministic aspects of control theory. Emphasis is placed on reporting the results for nonlinear control systems and on reviewing the Russian work in this area. The first six chapters reproduce in an abridged manner the principal topics of Pougacev's book 'Theory of Random Functions,' Moscow, 1962, omitting all material that is not directly connected with control theory. The remainder of the report surveys those aspects of statistical nonlinear control theory which are important for engineering applications. A section deals with the problem of a random disturbance acting on a relay oscillating periodically. A number of problems associated with extremal systems are considered in the last chapter. This is presented in the spirit of an engineering synthesis rather than from a general point of view. (Author)