Singularly perturbed boundary-value problems in discrete systems

A. Kailasa Rao, D. S. Naldu

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Various types of singularly perturbed boundary-value prohiems arising in discrete systems are Iormulatcd. For the general type it is seen that the degenerate problem is of reduced-order and hence shows its inability to accommodate all the given bounderv conditions. These left-over boundary condit.ions arc readmitted through e.ppropr-iat c corrections for the initial and final boundary layers. A perturhation methOI’ i:-l developed to obt.ain an approximate solution composed of an outer series, initial boundary layer correction series and final boundary layer correct.ion series. An important feature of t.he method is that the eorrnct.ions for the original boundary-vuluu problem are solved as an initial-value problem and a final-value problem, facilitating a considerable reduction in computation. An example i:-; given to dcmonst rat o tilt’ method.

Original languageEnglish (US)
Pages (from-to)1163-1173
Number of pages11
JournalInternational Journal of Control
Volume34
Issue number6
DOIs
StatePublished - Dec 1981
Externally publishedYes

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