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Democritus University of Thrace (DUTH)

ΑΝΑΛΥΣΗ - ΑΝΑΓΝΩΡΙΣΗ - ΑΡΙΣΤΟΣ ΕΛΕΓΧΟΣ ΚΑΙ ΕΥΑΙΣΘΗΣΙΑ ΓΡΑΜΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ ΜΕ ΤΗΝ ΧΡΗΣΗ ΣΕΙΡΩΝ

Abstract

dc:description

THIS THESIS IS REFERED TO POLYNOMIAL SERIES AND THEIR APPLICATION IN PROBLEMS OF AUTOMATIC CONTROL SYSTEMS. THE FOLLOWING PROBLEMS OF LINEAR SYSTEMS ARE BEING STUDIED: A) ANALYSIS OF TIME-INVARIANT AND TIME-VARYING SYSTEMS THAT ARE DESCRIBED BY STATE SPACE OR BY N-TH ORDER DIFFERENTIAL EQUATIONS. B) IDENTIFICATION OF TIME-INVARIANT AND TIME-VARYING SYSTEMS. C) OPTIMAL CONTROL OF TIME-INVARIANT AND TIME-VARYING SYSTEMS. D) SENSITIVITY OF TIME INVARIANT SYSTEMS. AN ATTEMPT TO PROPOSE ALGORITHMS TO SOLVE THE PROBLEMS HAS BEEN MADE, THAT ARE INDEPENDENT OF CONCRETE SERIES. THIS CAN BE DONE BY THE INTRODUCTION OF TAYLOR'S POLYNOMIAL SERIES, COMBINED WITH THE USE OF THE OPERATIONAL MATRIX OF TRANSFORMATION, WHICH IS VERY USEFUL FOR GROUPING ALL THE POLYNOMIAL SERIES. USING THESERIES AND OPERATIONAL TRANSFORMATION MATRICES OF DIFFERENTIATION, PRODUCT, FACTORS AND ALL OTHERS PRESENTED IN THIS THESIS, ANYONE CAN CONVERSE FROM THE SOLUTION OF PROBLEMS OF DIFFERENTIAL EQUATIONS TO THE SOLUTION OF PROBLEMS OF ALGEBRAIC SYSTEMS. FINALLY, THE SUGGESTED ALGORITHMS ARE APPLIED ON EXAMPLES, THEIR PROGRAMMING IS SIMPLE AND THE ACCURACY OF RESULTS VERY SATISFIED.

Degree

thesis:*
Grantor dc:publisher
Democritus University of Thrace (DUTH)
Year dc:date
1986

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Μουρούτσος, Σπυρίδων

Subjects

dc:subject × 16

Rights

Language dc:language
gre

Identifiers

dc:identifier.*
Identifier
10.12681/eadd/0061
OAI identifier oai:identifier
oai:10442/0061

Chain of custody

source
Harvested from
Greek National Archive of PhD Theses
Base URL
phdtheses.ekt.gr/eadd_oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Μουρούτσος, Σπυρίδων. ΑΝΑΛΥΣΗ - ΑΝΑΓΝΩΡΙΣΗ - ΑΡΙΣΤΟΣ ΕΛΕΓΧΟΣ ΚΑΙ ΕΥΑΙΣΘΗΣΙΑ ΓΡΑΜΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ ΜΕ ΤΗΝ ΧΡΗΣΗ ΣΕΙΡΩΝ. Democritus University of Thrace (DUTH), 1986. http://hdl.handle.net/10442/hedi/0061