Accession Number : AD0608927

Title :   NONLINEAR SYSTEM ANALYSIS AND SYNTHESIS. PART I. STUDY OF LYAPUNOV FUNCTIONS FOR PROBLEMS OF CONTROL AND OF OPTIMALITY OF LINEAR SYSTEMS,

Corporate Author : MARTIN CO BALTIMORE MD RESEARCH INST FOR ADVANCED STUDIES

Personal Author(s) : Kalman,R. E. ; Szego,G. P. ; Englar,T. S.

Report Date : OCT 1964

Pagination or Media Count : 168

Abstract : Research covered in this report may be broken into four parts. I. Lyapunov Function for the Problem of Lur'e in Automatic Control. This problem is completely resolved by giving conditions for the existence of a Lyapunov function and an algorithm for its construction. II. On Polynomial Lyapunov Function. A preliminary study of the use of polynomial Lyapunov functions in the study of stability, with particular attention to possible computational utilization. III. When is a Linear Control System Optimal. Discussion of the problem: Given a control law, for what performance indices is it optimal. This treatment involves the use of frequency domain techniques. IV. ASP Modifications. A description of changes and proposed changes in the ASP Program. This program is more completely described in ASD-TR-61-27, Volume I and II. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL ANALYSIS), (*FUNCTIONS(MATHEMATICS), CONTROL SYSTEMS), NONLINEAR SYSTEMS, LINEAR SYSTEMS, DYNAMICS, STABILITY, DIFFERENTIAL EQUATIONS, POLYNOMIALS, ADAPTIVE CONTROL SYSTEMS, OPTIMIZATION, THEOREMS, SYSTEMS ENGINEERING

Distribution Statement : APPROVED FOR PUBLIC RELEASE