On the Popov criterion
- 1 June 1973
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 17 (6) , 1137-1142
- https://doi.org/10.1080/00207177308932458
Abstract
It is reasonable to expect that the ‘ Popov criterion ’ for the stability of systems containing an arbitrary, finite number of non-linear feedback elements can be improved when the hypothetical transfer function considered in the ‘ Popov criterion ’ is assumed to satisfy meaningful requirements. This paper shows that when certain auxiliary conditions are met, the stability criterion of the multivariable control system containing many nonlinear feedback elements reduces to the original Popov criterion for single loop systems.Keywords
This publication has 3 references indexed in Scilit:
- A generalization of the Popov criterionJournal of the Franklin Institute, 1968
- System matrices giving positive-real transfer-function matricesProceedings of the Institution of Electrical Engineers, 1968
- Stability of control systems with multiple nonlinearitiesJournal of the Franklin Institute, 1966