DOI: 10.5176/2251-1911_CMCGS15.03
Authors: Siti Chotijah and Ventsi Rumchev
Abstract: In this paper, the minimum energy problem for positive continuous-time linear systems is addressed. Using the dynamic programming approach, an analytic solution of the minimum-energy problem with any pair of fixed terminal (initial and final) states is obtained. A sufficient condition for the existence of solution is established. The intrinsic relationship between reachable states and the problem is also revealed in the paper.
Keywords: positive linear system, continuous-time systems, minimum energy problem, optimality conditions
