Stability of Distributed-parameter Dynamical Systems with Multiple Non-linearities†

1 June 1966

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 3 (6) , 535-540
https://doi.org/10.1080/00207176608921399

Abstract

The Popov criterion for the stability of n. linear finite-dimensional system containing a single non-linearity is extended to infinite-dimensional systems with multiple non-linearities. Bather than examining stability of the states under zero input conditions the paper examines stability of the output.

Keywords

DYNAMICAL SYSTEMS
PARAMETER DYNAMICAL
DISTRIBUTED PARAMETER
STABILITY OF DISTRIBUTED
MULTIPLE
LINEARITIES

This publication has 2 references indexed in Scilit:

A generalization of the Popov criterion
IEEE Transactions on Automatic Control, 1965
LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
Proceedings of the National Academy of Sciences, 1963