New Taylor series approach to state-space analysis and optimal control of linear systems

Paraskevopoulos, PN; Tsirikos, AS; Arvanitis, KG

dc.contributor.author	Paraskevopoulos, PN	en
dc.contributor.author	Tsirikos, AS	en
dc.contributor.author	Arvanitis, KG	en
dc.date.accessioned	2014-03-01T01:08:26Z
dc.date.available	2014-03-01T01:08:26Z
dc.date.issued	1991	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10493
dc.subject	estimation of the approximation error	en
dc.subject	Linear systems	en
dc.subject	optimal control	en
dc.subject	state-space analysis	en
dc.subject	Taylor series	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Control Systems, Linear - Theory	en
dc.subject.other	Control Systems, Time Varying - Theory	en
dc.subject.other	Mathematical Techniques - Matrix Algebra	en
dc.subject.other	Mathematical Techniques - State Space Methods	en
dc.subject.other	Approximation Error	en
dc.subject.other	Taylor Series	en
dc.subject.other	Control Systems, Optimal	en
dc.title	New Taylor series approach to state-space analysis and optimal control of linear systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00939923	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00939923	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	A new Taylor series approach is presented which reduces the problem of determining the state vector coefficient matrix X for time-invariant systems to an expression involving multiplications of matrices of small dimensions. This approach is numerically superior to known techniques and is extended to cover the time-varying case, wherein analogous expressions are derived. Furthermore, the optimal control problem is solved using the same technique. Finally, an expression is derived for the computation of the approximation error involved in computing X, prior to determining X. © 1991 Plenum Publishing Corporation.	en
heal.publisher	Kluwer Academic Publishers-Plenum Publishers	en
heal.journalName	Journal of Optimization Theory and Applications	en
dc.identifier.doi	10.1007/BF00939923	en
dc.identifier.isi	ISI:A1991GN51300006	en
dc.identifier.volume	71	en
dc.identifier.issue	2	en
dc.identifier.spage	315	en
dc.identifier.epage	340	en