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Hyung-Jin Yoon

6 papers indexed

arxiveess.SYcs.ROmath.OC2026-07-09

Adaptive MPPI with Online Disturbance Covariance Estimation: Provable Stability Tightening via Spatial Smoothing

Hyung-Jin Yoon, Hunmin Kim

We study Model Predictive Path Integral (MPPI) control for nonlinear systems with additive process disturbances whose covariance is unknown, spatially varying, and slowly time-varying. A mismatched disturbance covariance produces a persistent penalty in closed-loop stability cert…

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arxiveess.SYmath.OC2026-07-08

Stochastic Stability of Nonlinear MPPI via Contraction Theory and Control Lyapunov Functions

Hyung-Jin Yoon, Hunmin Kim

Model Predictive Path Integral (MPPI) control is directly implementable on nonlinear systems because its online update requires only forward rollouts of the dynamics, not gradients, linearizations, or convex optimization. However, this algorithmic flexibility does not by itself p…

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arxiveess.SYcs.AIcs.ROmath.OC2026-07-04

Finite Reliability Representations: Noise-Calibrated Belief-Space Covers for Reliable Decision-Making

Hyung-Jin Yoon, Hunmin Kim

Physical sensing and actuation noise floors should inform how much belief resolution a decision-making system can reliably use. We introduce Finite Reliability Representations (FRR), a framework for covering belief spaces by reliability cells: regions within which the optimal act…

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arxivmath.OCcs.ROeess.SY2026-07-04

Finite-Sample Closed-Loop Stability of Model Predictive Path Integral Control for Linear Time-Invariant Systems

Hyung-Jin Yoon, Hunmin Kim

We establish finite-sample closed-loop stability guarantees for Model Predictive Path Integral (MPPI) control applied to discrete-time Linear Time-Invariant (LTI) systems with additive Gaussian process disturbances. The key observation is that, for unconstrained LTI/quadratic sys…

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