Stability theory for countably infinite systems of differential equations

@article{Miller1978StabilityTF,
  title={Stability theory for countably infinite systems of differential equations},
  author={R. K. Miller and A. Michel},
  journal={1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes},
  year={1978},
  pages={153-158}
}
New stability results for a class of countably infinite systems of differential equations are established. We consider those systems which may be viewed as an interconnection of countably infinitely many free or isolated subsystems. Throughout, the analysis is accomplished in terms of simpler subsystems and in terms of the system interconnecting structure. This approach makes it often possible to circumvent difficulties usually encountered in the application of the Lyapunov approach to complex… CONTINUE READING