Absolute Stability Criteria for Multiple Slope-Restricted Monotonic Nonlinearities

Wassim M. Haddad, Vikram Kapila

Research output: Contribution to journalArticlepeer-review


Absolute stability criteria such as the classical Popov criterion guarantee stability for a class of sector-bounded nonlinearities. Although the sector restriction bounds the admissible class of the nonlinearities, the local slope of the nonlinearity may be arbitrarily large. In this paper we derive absolute stability criteria for multiple slope-restricted time-invariant monotonic nonlinearities. Like the Popov criterion, in the single-input/single-output case our results provide a simple graphical interpretation involving a straight line in a modified Popov plane.

Original languageEnglish (US)
Pages (from-to)361-365
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number2
StatePublished - Feb 1995

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'Absolute Stability Criteria for Multiple Slope-Restricted Monotonic Nonlinearities'. Together they form a unique fingerprint.

Cite this