A mean‐field approach for the asymptotic tracking problem of moving continuum target clouds
Hyunjin Ahn, Seung‐Yeal Ha
Abstract
Abstract We propose a new coupled kinetic system arising from the asymptotic tracking of a continuum target cloud, and study its asymptotic tracking property. For the proposed kinetic system, we present an energy functional which is monotonic and distance between particle trajectories corresponding to kinetic equations for target, and tracking ensembles tend to zero asymptotically under a suitable sufficient framework. The framework is formulated in terms of system parameters and initial data.
Topics & Concepts
Monotonic functionKinetic energyTracking (education)Particle systemMathematicsVector fieldClassical mechanicsApplied mathematicsStatistical physicsMathematical analysisPhysicsComputer scienceGeometryPedagogyOperating systemPsychologyMathematical Biology Tumor GrowthGas Dynamics and Kinetic TheoryAdvanced Thermodynamics and Statistical Mechanics