Application of graph theory in stability of nonlinear complex dynamic systems
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper we follow a graph theoretic approach to develop a decomposition tool which exploits the structure of the directed graphs associated with a nonlinear dynamical system. Through this structural exploitation a new stability results for a nonlinear complex systems described by time varying ordinary differential equations are established. The present results make use of directed graph to transform complex systems into an interconnection of strongly connected subsystems (SCS). The stability is then accomplished in terms of the subsystems and in terms of the interconnection structure of the complex systems. To demonstrate the applicability of these results to physical systems, a damped transiently driven pendulum is considered as a specific example.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Kidouche, M. ve Habbi, H. (2009). Application of graph theory in stability of nonlinear complex dynamic systems. Maltepe Üniversitesi. s. 247.
