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Application of the general method of Lyapunov functionals construction for difference Volterra equations

โœ Scribed by B Paternoster; L Shaikhet

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
513 KB
Volume
47
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Lyapunov functionals are used usually for stability investigation of systems with aftereffect [1][2][3]. The general method of Lyapunov functionals construction which was proposed and developed in [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] is used here for stochastic second type Volterra difference equations. It is shown that using this method, there is a possibility to construct for a given equation, a sequence of extending stability regions. (~) 2004 Elsevier Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

Some peculiarities of the general method
Some peculiarities of the general method of Lyapunov functionals construction
โœ V. Kolmanovskii; L. Shaikhet ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

The general method of Lyapunov functionals construction for stability investigation of stochastic hereditary systems which was proposed and developed before is considered. Some features of this method for difference systems which allow one to use the method more effectively are discussed.