THE USE OF THE TECHNIQUE OF LINEAR BOUNDS FOR APPLYING THE DIRECT METHOD OF LIAPUNOV TO A CLASS OF NONLINEAR AND TIME VARYING SYSTEMS
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1962
- Accession Number
- AD0292302
Entities
People
- R.a. Nesbit
Organizations
- University of California, Los Angeles