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About one application of the general method of Lyapunov functionals construction
Author(s) -
Kolmanovskii V.,
Shaikhet L.
Publication year - 2003
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.846
Subject(s) - lyapunov function , sequence (biology) , stability (learning theory) , construct (python library) , mathematics , lyapunov equation , computer science , nonlinear system , physics , quantum mechanics , genetics , machine learning , biology , programming language
Some peculiarities of the general method of Lyapunov functionals construction proposed and developed by the authors during last decade for stability investigation of stochastic hereditary systems are considered. It is shown, in particular, that using this method one can construct a sequence of extended stability regions for stochastic difference Volterra equations. Copyright © 2003 John Wiley & Sons, Ltd.