Stability of nonlinear discrete repetitive processes with Markovian switching

Repetitive processes are a class of 2D systems that operate over a subset of the upper-right quadrant ofthe 2D plane. Applications include iterative learning control where experimental verification has beenreported based on a linear time-invariant model approximation of the dynamics. This paper considersdiscrete nonlinear repetitive processes with Markovian switching and applies, as one application, theresulting stability theory to iterative learning control for a class of networked systems where time-varyingdynamics arise.<br/