WASET
	@article{(Open Science Index):https://publications.waset.org/pdf/15249,
	  title     = {The First Integral Approach in Stability Problem of Large Scale Nonlinear Dynamical Systems},
	  author    = {M. Kidouche and  H. Habbi and  M. Zelmat and  S. Grouni},
	  country	= {},
	  institution	= {},
	  abstract     = {In analyzing large scale nonlinear dynamical systems,
it is often desirable to treat the overall system as a collection of
interconnected subsystems. Solutions properties of the large scale
system are then deduced from the solution properties of the
individual subsystems and the nature of the interconnections. In this
paper a new approach is proposed for the stability analysis of large
scale systems, which is based upon the concept of vector Lyapunov
functions and the decomposition methods. The present results make
use of graph theoretic decomposition techniques in which the overall
system is partitioned into a hierarchy of strongly connected
components. We show then, that under very reasonable assumptions,
the overall system is stable once the strongly connected subsystems
are stables. Finally an example is given to illustrate the constructive
methodology proposed.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {2},
	  number    = {11},
	  year      = {2008},
	  pages     = {777 - 782},
	  ee        = {https://publications.waset.org/pdf/15249},
	  url   	= {https://publications.waset.org/vol/23},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 23, 2008},
	}