Singular perturbation method for initial value problems in two-parameter discrete control systems

Desineni S Naidu, M. S. Krishnarayalu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A singularly perturbed discrete control system with two small parameters is formulated as an initial value problem. The process of degeneration affects the corresponding two groups of initial conditions. A singular perturbation method is developed based on double asymptotic power series expansions where the approximate solution is sought in terms of an outer solution and two boundary layer correction solutions. Owing to the interplay between the various steps involved in the actual working of the method, an algorithm is presented. An example is provided to illustrate the proposed method.

Original languageEnglish (US)
Pages (from-to)2197-2208
Number of pages12
JournalInternational Journal of Systems Science
Volume18
Issue number12
DOIs
StatePublished - Jan 1 1987
Externally publishedYes

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