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Please use this identifier to cite or link to this item: http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/579

Titre: Stability of interconnected systems under structural perturbation : decomposition- aggregation approach
Auteur(s): Kidouche, M.
Habbi, H.
Zelmat, M.
Mots-clés: Composite system
Connective stability
Lyapunov functions
Issue Date: 2008
Collection/Numéro: World Academy of Science, Engineering and Technology/ Vol.37 (2008);pp. 351-355
Résumé: In this paper, the decomposition-aggregation method is used to carry out connective stability criteria for general linear composite system via aggregation. The large scale system is decomposed into a number of subsystems. By associating directed graphs with dynamic systems in an essential way, we define the relation between system structure and stability in the sense of Lyapunov. The stability criteria is then associated with the stability and system matrices of subsystems as well as those interconnected terms among subsystems using the concepts of vector differential inequalities and vector Lyapunov functions. Then, we show that the stability of each subsystem and stability of the aggregate model imply connective stability of the overall system. An example is reported, showing the efficiency of the proposed technique
URI: http://dlibrary.univ-boumerdes.dz:8080/jspui/handle/123456789/579
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