Liapunov functions for non-linear difference equation stability analysis†
作者:
K. E. PARK,
E. KINNEN,
期刊:
International Journal of Control
(Taylor Available online 1972)
卷期:
Volume 15,
issue 5
页码: 981-993
ISSN:0020-7179
年代: 1972
DOI:10.1080/00207177208932212
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Liapunov functions to determine the stability of non-linear autonomous difference equations can be developed through the use of auxiliary exact difference equations. For this purpose definitions are introduced for the gradient of an implicit function of a discrete variable, a principal sum, a definite sum and an exact difference equation, nnd a theorem for exactness of a difference form is proved. Examples illustrate the procedure.
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