A Successive Pseudospectral-Based Approximation of the Solution of Regulator Equations

Through the combination of contraction mapping and pseudospectral method, we propose a successive approximation technique to approximate the solution of a class of regulator equations with periodic exosystems and hyperbolic zero dynamics. In this scheme, the initial points of flows on the zero-error constrained manifolds are approximated successively as the fixed point of a contractive integral ma...