Exponentially stable feedback control of discrete-time nonlinear distributed parameter systems on Banach spaces Conference Paper uri icon


  • Practical engineering systems require feedback control implementation in discrete-time; however, stable control of infinite-dimensional distributed parameter systems (DPS) is not always guaranteed. We introduce two nonlinear controllers, a DPS one and a finite-dimensional one with residual mode filter compensation, which produce local exponential closed-loop stability for nonlinear discrete-time DPS on Banach spaces under appropriate local Lipschitz continuity conditions. Both controllers operate in discrete-time and our results place no restrictions on the smoothness of the initial data in the Banach space.

name of conference

  • Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

published proceedings

  • Proceedings of the 2010 American Control Conference

author list (cited authors)

  • Balas, M. J.

citation count

  • 1

complete list of authors

  • Balas, MJ

publication date

  • January 1999