シュレーディンガー方程式を用いた最適確率的回避機動
Optimal Stochastic Evasive Maneuvers Using the Schrodinger's Equation
捕食者から逃れる獲物の確率的な回避行動を、予測困難性とエネルギー消費のトレードオフとして定式化し、最適な行動確率密度が定常シュレーディンガー方程式で特徴づけられることを示した論文。
著者: Farhad Farokhi, Magnus Egerstedt
分類: cs.RO, cs.SY, eess.SY, math.OC, physics.data-an, quant-ph
原文アブストラクト
In this paper, preys with stochastic evasion policies are considered. The stochasticity adds unpredictable changes to the prey's path for avoiding predator's attacks. The prey's cost function is composed of two terms balancing the unpredictability factor (by using stochasticity to make the task of forecasting its future positions by the predator difficult) and energy consumption (the least amount of energy required for performing a maneuver). The optimal probability density functions of the actions of the prey for trading-off unpredictability and energy consumption is shown to be characterized by the stationary Schrodinger's equation.
