離散時間非線形無限評価区間最適制御問題の代数関数解

概要

論文の詳細を見る
In this paper, we give an algebraic characterization of solutions to infinite-horizon nonlinear discrete-time optimal control problems. We define an algebraic function solution to the equation, which is obtained by solving algebraic equations, and derive a necessary and sufficient condition for the existence of an algebraic function solution in terms of commutative algebra. According to our main theorem, obtaining an algebraic solution reduces to finding a specific polynomial ideal.
公益社団法人計測自動制御学会の論文