Variations on the Nonlinear Nyquist Criteria.
Abstract
Classically the study of closed loop system stability is approached through frequency domain techniques, e.g., the Nyquist and Hurwitz criteria. In the nonlinear case frequency response is not well-defined; however, one of the authors has recently shown that the spectrum of a nonlinear operator can be used in lieu of the usual Nyquist plot as a means of generalizing the Nyquist criteria to the nonlinear case. Through some perturbation techniques we characterize in this paper the stability of nonlinear operators by the more accessible 'approximate point spectrum' as opposed to the entire spectrum. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1975
- Accession Number
- ADA023272
Entities
People
- R. A. Decarlo
- R. Saeks
Organizations
- Texas Tech University