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

Ravi P. Agarwal; Alexander Domoshnitsky

doi:10.1016/j.amc.2005.02.062

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

Ravi P. Agarwal
, Alexander Domoshnitsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	177-195
Number of pages	19
Journal	Applied Mathematics and Computation
Volume	173
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.02.062
State	Published - 1 Feb 2006

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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.",

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AB - 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.

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

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