Exponentially stable feedback control of discrete-time nonlinear distributed parameter systems on Banach spaces (Q1378566)

The author shows that a nonlinear discrete-time distributed parameter system (DPS) defined on a Banach space can be controlled with local exponential stability by a nonlinear DPS controller. The linear part of the DPS must be stabilizable and detectable and the nonlinear part must be at least locally Lipschitz continuous. The paper presents a modal approximation which maintains closed-loop exponential stability and produces an easily implemented practical control algorithm.