On Stability Tests for Some Classes of Dynamical Systems with Perturbed Coefficients

1 June 1988

journal article
Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information

Vol. 5 (2) , 117-123
https://doi.org/10.1093/imamci/5.2.117

Abstract

Several stability criteria are derived for some classes of feedback systems with perturbed coefficients. These are extensions of the circle criterion, Popov's theorem, and a delay-independent stability condition for time-delay systems. The approach relies on a crucial step in Kharitonov's proof on the stability of polynomials with interval coefficients.

Keywords

FEEDBACK
DELAY
CRITERION
POLYNOMIALS
STEP
CIRCLE
THEOREM
SYSTEMS WITH PERTURBED
KHARITONOV'S
POPOV'S

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