Towards a Revolutionary Info-Geometric Control Theory with Potential Applications of Fokker Planck Kolmogorov(FPK) Equation to System Control, Modelling and Simulation
Ismail A Mageed, Yuyang Zhou, Yefeng Liu, Qichun Zhang
Abstract
An exposition of a ground-breaking Info-Geometric approach to FPK probability density function (PDF) is undertaken in this paper. The results extend to finding the FPK Geodesic equations (GEs) of motion. Exact analytic solutions of these GES are derived. the Some potential applications of FPK to system control, modelling and simulation are provided. Challenging Open problems are given combined with conclusion and next phase research.
Topics & Concepts
Probability density functionGeodesicExposition (narrative)Fokker–Planck equationControl (management)Motion (physics)Computer sciencePhysicsStatistical physicsControl theory (sociology)Classical mechanicsMathematicsArtificial intelligenceMathematical analysisDifferential equationArtLiteratureStatisticsGuidance and Control SystemsStatistical Mechanics and EntropyTarget Tracking and Data Fusion in Sensor Networks