Non-oscillation of the first-order differential equations with unbounded memory for stabilization by control signal

Ravi P. Agarwal, Alexander Domoshnitsky

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper we shall demonstrate that problems of chaos stabilization can be reduced to the analysis of a corresponding stability of differential equations with unbounded memory. In order to obtain stability results a special monotone technique, based on the positivity of the Cauchy function, is used. New results on stabilization of linear and nonlinear systems are proposed.

Original languageEnglish
Pages (from-to)177-195
Number of pages19
JournalApplied Mathematics and Computation
Volume173
Issue number1
DOIs
StatePublished - 1 Feb 2006

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