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Application of graph theory to stability of nonlinear systems / Madjid Kidouche 

Public ISBD Titre : Application of graph theory to stability of nonlinear systems Type de document : texte imprimé Auteurs : Madjid Kidouche, Auteur ; S. D. Bedrosian, Directeur de thèse Editeur : Université de Pennsylvania Année de publication : 1986 Importance : 36 f. Présentation : ill. Format : 27 cm. Note générale : Mémoire de Magister : Électrotechnique : Philadelphia, Université de Pennsylvania : 1986 Bibliogr. f. 37 - 41 Langues : Anglais (eng) Mots-clés : Linear  graph  ;  Digraph  ;  Lyapunov  stability  ;  Composite  system  ;  Direct  method  of  lyapunov Index. décimale : M006586 Résumé : For a given composite system, stability is usually the most important performance attribute ti be determined. If the composite system is linear many stability criteria are available. Among them are the Nyquist criterion, Routh's stability, etc... If the system is nonlinear, then such stability criteria do not apply, but the direct method of Lyapunov (DML) is the most general method for the determination of stability of nonlinear composite systems. Despite its elegance and generality, the usefulness of (DML) is severely limited when applied to systems of high dimension. For this reason it may be advantageous to view the composite system as being composed of several subsystems, which when interconnected in an appropriate fashion, yield the original composite or interconnected system. We use graph theoretic decomposition technique based on identifying the strongly connected components (SCC) of the digraph model. The basic concept of solving a composite system through an analysis of its subsystem (SCC) and their interconnections is to simplify determination of its stability. This stems from the fact easier to find Lyapunov function for the lower order subsystem than the higher order composite system. Application of graph theory to stability of nonlinear systems [texte imprimé] / Madjid Kidouche, Auteur ; S. D. Bedrosian, Directeur de thèse . - [S.l.] : Université de Pennsylvania, 1986 . - 36 f. : ill. ; 27 cm. Mémoire de Magister : Électrotechnique : Philadelphia, Université de Pennsylvania : 1986 Bibliogr. f. 37 - 41 Langues : Anglais (eng) Mots-clés : Linear  graph  ;  Digraph  ;  Lyapunov  stability  ;  Composite  system  ;  Direct  method  of  lyapunov Index. décimale : M006586 Résumé : For a given composite system, stability is usually the most important performance attribute ti be determined. If the composite system is linear many stability criteria are available. Among them are the Nyquist criterion, Routh's stability, etc... If the system is nonlinear, then such stability criteria do not apply, but the direct method of Lyapunov (DML) is the most general method for the determination of stability of nonlinear composite systems. Despite its elegance and generality, the usefulness of (DML) is severely limited when applied to systems of high dimension. For this reason it may be advantageous to view the composite system as being composed of several subsystems, which when interconnected in an appropriate fashion, yield the original composite or interconnected system. We use graph theoretic decomposition technique based on identifying the strongly connected components (SCC) of the digraph model. The basic concept of solving a composite system through an analysis of its subsystem (SCC) and their interconnections is to simplify determination of its stability. This stems from the fact easier to find Lyapunov function for the lower order subsystem than the higher order composite system.

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Spécialité	Etat_Exemplaire
M006586	M006586	Papier	Bibliothèque centrale	Mémoire de Magister	Disponible

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