A Note About the Stability of a String of LTI Systems Academic Article uri icon


  • This note concerns the stability of a string of LTI systems; it is shown here that, if the weak interaction condition among systems in the string is satisfied (i.e., the sum of the -norms of the interaction/error propagation transfer functions is less than unity), then the string is Lp stable for every p1. Since the -norm of a transfer function is the smallest of all its induced Lp norms, the result presented here enables one to obtain a tighter estimate of the geometric rate of attenuation of the states of systems in the string.

published proceedings

  • Journal of Dynamic Systems Measurement and Control

author list (cited authors)

  • Darbha, S.

citation count

  • 12

complete list of authors

  • Darbha, Swaroop

publication date

  • September 2002