Classical results on the stability of linear time-invariant systems, and the schwarz form

Robert Shorten; Kumpati S. Narendra

doi:10.1109/TAC.2014.2320303

IEEE TACON

Paper

01 Nov 2014

Classical results on the stability of linear time-invariant systems, and the schwarz form

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Abstract

The paper deals with the classical results of Routh and Hurwitz, Biehler and Kharitonov, concerning the stability of a linear time invariant differential equation. It is shown that these results follow directly from a Schwarz matrix representation of stable systems.

Conference paper