Fuzzy Quadtree Based Path Planner and Trajectory Smoother for a Low Cost Unmanned Aerial Vehicle. - Abhishek Halder; Sayan Ghosh; Manoranjan Sinha (IICAI, 2007)

FLIER: A Novel Sensor Fusion Algorithm. - Sumit Chauhan; Chetan Patil; Abhishek Halder; Manoranjan Sinha (ICIIS, 2008)

Leader-follower dynamics for unicycles. - Siming Zhao; Abhishek Halder; Tamás Kalmár-Nagy (ACC, 2009)

Model validation: A probabilistic formulation. - Abhishek Halder; Raktim Bhattacharya (CDC/ECC, 2011)

Micro air vehicle path planning in fuzzy quadtree framework. - Sayan Ghosh; Abhishek Halder; Manoranjan Sinha (Appl. Soft Comput., 2011)

Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing. - Tamás Kalmár-Nagy; Pankaj Wahi; Abhishek Halder (SIAM J. Appl. Dyn. Syst., 2011)

Uncertainty quantification for stochastic nonlinear systems using Perron-Frobenius operator and Karhunen-Loève expansion. - Parikshit Dutta; Abhishek Halder; Raktim Bhattacharya (CCA, 2012)

Further results on probabilistic model validation in Wasserstein metric. - Abhishek Halder; Raktim Bhattacharya (CDC, 2012)

Nonlinear filtering with transfer operator. - Parikshit Dutta; Abhishek Halder; Raktim Bhattacharya (ACC, 2013)

Frequency domain model validation in Wasserstein metric. - Abhishek Halder; Raktim Bhattacharya (ACC, 2013)

Probabilistic robustness analysis of F-16 controller performance: An optimal transport approach. - Abhishek Halder; Kooktae Lee; Raktim Bhattacharya (ACC, 2013)

Geodesic density tracking with applications to data driven modeling. - Abhishek Halder; Raktim Bhattacharya (ACC, 2014)

Probabilistic robustness analysis of stochastic jump linear systems. - Kooktae Lee; Abhishek Halder; Raktim Bhattacharya (ACC, 2014)

A dynamical system pair with identical first two moments but different probability densities. - Abhishek Halder; Kooktae Lee; Raktim Bhattacharya (CDC, 2014)

Probabilistic model validation for uncertain nonlinear systems. - Abhishek Halder; Raktim Bhattacharya (Autom., 2014)

A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers. - Abhishek Halder; Kooktae Lee; Raktim Bhattacharya (CoRR, 2014)

Robustness Analysis of Stochastic Jumps and Design of Resource-Optimal Switching Policies for Cyber-Physical Systems. - Kooktae Lee; Abhishek Halder; Raktim Bhattacharya (CoRR, 2014)

Mean Square Stability for Stochastic Jump Linear Systems via Optimal Transport. - Kooktae Lee; Abhishek Halder; Raktim Bhattacharya (CoRR, 2014)

A control system framework for privacy preserving demand response of thermal inertial loads. - Abhishek Halder; Xinbo Geng; Gaurav Sharma 005; Le Xie 001; P. R. Kumar 001 (SmartGridComm, 2015)

Performance and robustness analysis of stochastic jump linear systems using Wasserstein metric. - Kooktae Lee; Abhishek Halder; Raktim Bhattacharya (Autom., 2015)

Nonlinear estimation with Perron-Frobenius operator and Karhunen-Loève expansion. - Parikshit Dutta; Abhishek Halder; Raktim Bhattacharya (IEEE Trans. Aerosp. Electron. Syst., 2015)

Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost. - Abhishek Halder; Eric D. B. Wendel (ACC, 2016)

Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity. - Abhishek Halder; Xinbo Geng; P. R. Kumar 001; Le Xie 001 (CoRR, 2016)

Gradient flows in uncertainty propagation and filtering of linear Gaussian systems. - Abhishek Halder; Tryphon T. Georgiou (CDC, 2017)

Stability Theory in $ ell_1$ for Nonlinear Markov Chains and Stochastic Models for Opinion Dynamics over Influence Networks. - Zahra Askarzadeh; Rui Fu; Abhishek Halder; Yongxin Chen; Tryphon T. Georgiou (CoRR, 2017)

Gradient Flows in Filtering and Fisher-Rao Geometry. - Abhishek Halder; Tryphon T. Georgiou (ACC, 2018)

On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids. - Abhishek Halder (CDC, 2018)

Opinion Dynamics over Influence Networks. - Zahra Askarzadeh; Rui Fu; Abhishek Halder; Yongxin Chen; Tryphon T. Georgiou (ACC, 2019)

Proximal Recursion for Solving the Fokker-Planck Equation. - Kenneth F. Caluya; Abhishek Halder (ACC, 2019)

Proximal Recursion for the Wonham Filter. - Abhishek Halder; Tryphon T. Georgiou (CDC, 2019)

Finite Horizon Density Control for Static State Feedback Linearizable Systems. - Kenneth F. Caluya; Abhishek Halder (CoRR, 2019)

Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies. - Fernando A. C. C. Fontes; Abhishek Halder; Jorge A. Becerril; P. R. Kumar 001 (IEEE Control. Syst. Lett., 2019)

DeGroot-Friedkin Map in Opinion Dynamics Is Mirror Descent. - Abhishek Halder (IEEE Control. Syst. Lett., 2019)

Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems. - Kenneth F. Caluya; Abhishek Halder (ACC, 2020)

The Convex Geometry of Integrator Reach Sets. - Shadi Haddad; Abhishek Halder (ACC, 2020)

Global Convergence of Second-order Dynamics in Two-layer Neural Networks. - Walid Krichene; Kenneth F. Caluya; Abhishek Halder (CoRR, 2020)

Stability Theory of Stochastic Models in Opinion Dynamics. - Zahra Askarzadeh; Rui Fu; Abhishek Halder; Yongxin Chen; Tryphon T. Georgiou (IEEE Trans. Autom. Control., 2020)

Gradient Flow Algorithms for Density Propagation in Stochastic Systems. - Kenneth F. Caluya; Abhishek Halder (IEEE Trans. Autom. Control., 2020)

Hopfield Neural Network Flow: A Geometric Viewpoint. - Abhishek Halder; Kenneth F. Caluya; Bertrand Travacca; Scott J. Moura (IEEE Trans. Neural Networks Learn. Syst., 2020)

Reflected Schrödinger Bridge: Density Control with Path Constraints. - Kenneth F. Caluya; Abhishek Halder (ACC, 2021)

On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost. - Isin M. Balci; Abhishek Halder; Efstathios Bakolas (CDC, 2021)

Anytime ellipsoidal over-approximation of forward reach sets of uncertain linear systems. - Shadi Haddad; Abhishek Halder (CAADCPS@CPSIoTWeek, 2021)

Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions. - Abhishek Halder; Kenneth F. Caluya; Pegah Ojaghi; Xinbo Geng (CoRR, 2021)

Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. - Shadi Haddad; Kenneth F. Caluya; Abhishek Halder; Baljeet Singh (IEEE Control. Syst. Lett., 2021)

Smallest Ellipsoid Containing $p$-Sum of Ellipsoids With Application to Reachability Analysis. - Abhishek Halder (IEEE Trans. Autom. Control., 2021)

Predicting State Transition in Freezing of Gait via Acceleration Measurements for Controlled Cueing in Parkinson's Disease. - Abhishek Halder; Ramandeep Singh; Ashish Suri; Deepak Joshi (IEEE Trans. Instrum. Meas., 2021)

Boundary and Taxonomy of Integrator Reach Sets. - Shadi Haddad; Abhishek Halder (ACC, 2022)

Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators. - Iman Nodozi; Abhishek Halder (CDC, 2022)

A Distributed Algorithm for Measure-valued Optimization with Additive Objective. - Iman Nodozi; Abhishek Halder (CoRR, 2022)

Hausdorff Distance between Norm Balls and their Linear Maps. - Shadi Haddad; Abhishek Halder (CoRR, 2022)

Certifying the Intersection of Reach Sets of Integrator Agents With Set-Valued Input Uncertainties. - Shadi Haddad; Abhishek Halder (IEEE Control. Syst. Lett., 2022)

Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control With Nonlinear Drift. - Kenneth F. Caluya; Abhishek Halder (IEEE Trans. Autom. Control., 2022)

Density-Based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving. - Shadi Haddad; Abhishek Halder; Baljeet Singh (IEEE Trans. Control. Syst. Technol., 2022)

Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets. - Shadi Haddad; Abhishek Halder (ACC, 2023)

A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly. - Iman Nodozi; Jared O'Leary; Ali Mesbah 002; Abhishek Halder (ACC, 2023)

Optimal Mass Transport over the Euler Equation. - Charlie Yan; Iman Nodozi; Abhishek Halder (CDC, 2023)

Exact Computation of LTI Reach Set From Integrator Reach Set With Bounded Input. - Shadi Haddad; Pansie Khodary; Abhishek Halder (IEEE Control. Syst. Lett., 2023)

A Controlled Mean Field Model for Chiplet Population Dynamics. - Iman Nodozi; Abhishek Halder; Ion Matei (IEEE Control. Syst. Lett., 2023)

On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems. - Alexis M. H. Teter; Yongxin Chen; Abhishek Halder (IEEE Control. Syst. Lett., 2023)

The Curious Case of Integrator Reach Sets, Part I: Basic Theory. - Shadi Haddad; Abhishek Halder (IEEE Trans. Autom. Control., 2023)

Weyl Calculus and Exactly Solvable Schrödinger Bridges with Quadratic State Cost. - Alexis M. H. Teter; Wenqing Wang; Abhishek Halder (Allerton, 2024)

Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software. - Georgiy A. Bondar; Robert Gifford; Linh Thi Xuan Phan; Abhishek Halder (ACC, 2024)

Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge and Reaction-Diffusion PDEs. - Alexis M. H. Teter; Iman Nodozi; Abhishek Halder (CoRR, 2024)

Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach. - Alexis M. H. Teter; Iman Nodozi; Abhishek Halder (CoRR, 2024)

Schrödinger Bridge with Quadratic State Cost is Exactly Solvable. - Alexis M. H. Teter; Wenqing Wang; Abhishek Halder (CoRR, 2024)

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps. - Sachin Shivakumar; Georgiy A. Bondar; Gabriel Khan; Abhishek Halder (CoRR, 2024)

Proximal Mean Field Learning in Shallow Neural Networks. - Alexis Teter; Iman Nodozi; Abhishek Halder (Trans. Mach. Learn. Res., 2024)

Neural Schrödinger Bridge With Sinkhorn Losses: Application to Data-Driven Minimum Effort Control of Colloidal Self-Assembly. - Iman Nodozi; Charlie Yan; Mira M. Khare; Abhishek Halder; Ali Mesbah 002 (IEEE Trans. Control. Syst. Technol., 2024)

Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge, and Reaction-Diffusion PDEs. - Alexis M. H. Teter; Iman Nodozi; Abhishek Halder (SIAM J. Appl. Dyn. Syst., 2025)

CORD: Co-design of Resource Allocation and Deadline Decomposition with Generative Profiling. - Robert Gifford; Abby Eisenklam; Georgiy A. Bondar; Yifan Cai; Tushar Sial; Linh Thi Xuan Phan; Abhishek Halder (CoRR, 2025)

On the Hopf-Cole Transform for Control-affine Schrödinger Bridge. - Alexis Teter; Abhishek Halder (CoRR, 2025)

The Ground Cost for Optimal Transport of Angular Velocity. - Karthik Elamvazhuthi; Abhishek Halder (CoRR, 2025)

Markov Kernels, Distances and Optimal Control: A Parable of Linear Quadratic Non-Gaussian Distribution Steering. - Alexis M. H. Teter; Wenqing Wang; Sachin Shivakumar; Abhishek Halder (CoRR, 2025)

Set Invariance with Probability One for Controlled Diffusion: Score-based Approach. - Wenqing Wang; Alexis M. H. Teter; Murat Arcak; Abhishek Halder (CoRR, 2025)

Stochastic Learning of Computational Resource Usage as Graph-Structured Multimarginal Schrödinger Bridge. - Georgiy A. Bondar; Robert Gifford; Linh Thi Xuan Phan; Abhishek Halder (IEEE Trans. Control. Syst. Technol., 2025)