Accession Number : AD0292302

Title :   THE USE OF THE TECHNIQUE OF LINEAR BOUNDS FOR APPLYING THE DIRECT METHOD OF LIAPUNOV TO A CLASS OF NONLINEAR AND TIME VARYING SYSTEMS

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : NESBIT,R.A.

Report Date : DEC 1962

Pagination or Media Count : 1

Abstract : The stability of a class of systems is shown by the use of the basic theorems of the direct method. This set of inequalities defines a region, and if the nonlinear or time varying part of the system remains inside this region, then the stability of the system is assured. The usual methods of approximating the time response may be used, and thus this technique can be used to aid the design of control systems. The technique is applied to second and third order examples and is compared to the 'variable gradient' method of solving these problems. (Author)

Descriptors :   *CONTROL SYSTEMS, *NONLINEAR SYSTEMS, FUNCTIONS(MATHEMATICS), INEQUALITIES, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE