Time-varying and adaptive discrete-time low-gain control of infinite-dimensional linear systems with input nonlinearities

Discrete-time low-gain control strategies are presented for tracking consta nt reference signals for infinite-dimensional, discrete-time, power-stable, linear systems subject to input nonlinearities. Both non-adaptive (but tim e-varying) and adaptive controls are considered. The discrete-time results are applied in the development of sampled-data integral control for infinit e-dimensional, continuous-time, exponentially stable, regular, linear syste ms with input nonlinearities.