Control of nonlinear dynamic systems with the cell mapping method

Abstract

This paper studies control problems of nonlinear dynamic systems using the cell mapping method. We first present the formulation of optimal control problem and Bellman's principle of optimality. Then, we present the cell mapping methods and their application to optimal control problems of deterministic nonlinear dynamic systems. Examples of population dynamics control of two competing species are presented to demonstrate the effectiveness of the cell mapping method. © Springer-Verlag Berlin Heidelberg 2013.