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Variationally Stable Difference Systems

โœ Scribed by Sung Kyu Choi; Nam Jip Koo; Yoon Hoe Goo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
131 KB
Volume
256
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We characterize the h-stability in variation for nonlinear difference systems via n -similarity and Lyapunov functions. Furthermore, using Lyapunov's method and ฯฑ comparison principle, we obtain some results related to stability for the perturbations of nonlinear difference systems.

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A general system Of i?vitial-Value pUrtkAt d'@3Wltid eqUatiO'nS iS CkLSSified 'hat0 four categories based on the partial differential operators which defcne the equations. SpeciJc combinations of the operators are termed "&variants" since they are common to all jinite difference approximations to t