Anl2stability criterion with frequency domain interpretation for a class of nonlinear discrete systems
- 1 June 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 17 (3) , 365-368
- https://doi.org/10.1109/tac.1972.1100017
Abstract
Using the notation and methods of functional analysis, a stability criterion is derived for a class of nonlinear discrete systems. The class of systems investigated consists of a nonlinear static operator satisfying a sector condition, followed by a bounded linear causal operator that satisfies an inner product inequality. A simple graphical means of obtaining stability information similar to the Popov criterion is obtained when the bounded causal linear operator is constrained to be a discrete convolution operator.Keywords
This publication has 11 references indexed in Scilit:
- An extended frequency-domain stability criterion for a class of sampled-data systemsIEEE Transactions on Automatic Control, 1970
- A frequency-time domain stability criterion for sampled-data systemsIEEE Transactions on Automatic Control, 1967
- Frequency criteria for bounded-input--Bounded-output stability of nonlinear sampled-data systemsIEEE Transactions on Automatic Control, 1967
- A circle stability criterion for a class of discrete systemsIEEE Transactions on Automatic Control, 1967
- On bounded-input-bounded-output stability of a certain class of nonlinear sampled data systemsJournal of the Franklin Institute, 1966
- On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearitiesIEEE Transactions on Automatic Control, 1966
- On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivityIEEE Transactions on Automatic Control, 1966
- The principle of contraction mapping in nonlinear and adaptive control systemsIEEE Transactions on Automatic Control, 1964
- A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear ElementBell System Technical Journal, 1964
- On the stability of a certain class of nonlinear sampled-data systemsIEEE Transactions on Automatic Control, 1964