Corrections to '? _∞ filtering for singularly perturbed nonlinear systems'

摘要

In a recently published paper, the authors considered the ? _∞-filtering problem for singularly perturbed (two time-scale) nonlinear systems. Two types of filters were discussed; namely, decomposition and aggregate, and sufficient conditions for the solvability of the problem in terms of the Hamilton-Jacobi-Isaac's equations were presented. In this note, we provide a modification to the HJIEs that make them more formal and amenable to computations.