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Optimal Stochastic Evasive Maneuvers Using the Schrodinger's Equation

2021/10/11 by Farhad Farokhi, Farokhi, Farhad, Magnus Egerstedt +1
Engineering · Physics and Astronomy · #Data Analysis #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Guidance and Control Systems #Military Defense Systems Analysis #Optimization and Control (math.OC) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Robotics (cs.RO) #Statistics and Probability (physics.data-an) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2110.04956

openalex publication_date 2021/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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