TY - JOUR
T1 - Non-oscillation of the first-order differential equations with unbounded memory for stabilization by control signal
AU - Agarwal, Ravi P.
AU - Domoshnitsky, Alexander
PY - 2006/2/1
Y1 - 2006/2/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=32144434195&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2005.02.062
DO - 10.1016/j.amc.2005.02.062
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AN - SCOPUS:32144434195
SN - 0096-3003
VL - 173
SP - 177
EP - 195
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -