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New Taylor series approach to state-space analysis and optimal control of linear systems
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1991
(EN)
EKT historical period
Title
New Taylor series approach to state-space analysis and optimal control of linear systems (EN)
Creator
Paraskevopoulos, PN (EN)
Tsirikos, AS (EN)
Arvanitis, KG (EN)
Description
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)
Type
journalArticle (EN)
Subject
Linear systems (EN)
Control Systems, Linear - Theory (EN)
state-space analysis (EN)
Mathematical Techniques - State Space Methods (EN)
optimal control (EN)
Taylor series (EN)
Control Systems, Optimal (EN)
Mathematics, Applied (EN)
Operations Research & Management Science (EN)
Mathematical Techniques - Matrix Algebra (EN)
Taylor Series (EN)
Control Systems, Time Varying - Theory (EN)
Approximation Error (EN)
estimation of the approximation error (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Journal of Optimization Theory and Applications (EN)
Language
English
Issued
1991 (EN)
Identifier
http://hdl.handle.net/123456789/10493
2 (EN)
315 (EN)
10.1007/BF00939923 (EN)
71 (EN)
0022-3239 (EN)
ISI:A1991GN51300006 (EN)
340 (EN)
Publisher
Kluwer Academic Publishers-Plenum Publishers (EN)
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