Abhishek Halder

Title(s):

Office

Information

abhishekhalder.org

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Education

Ph.D., Aerospace Engineering, Texas A&M University, 2014

Dual degree, (B. Tech. and M. Tech.) Aerospace Engineering, Indian Institute of Technology, Kharagpur, 2008

Research

Interest areas: Systems and control theory, optimization, machine learning, probability

Publications

Journal

26. A Controlled Mean Field Model for Chiplet Population Dynamics
       IEEE Control Systems Letters
       I. Nodozi, A. Halder, and I. Matei

25. The Curious Case of Integrator Reach Sets, Part I: Basic Theory
       IEEE Transactions on Automatic Control
       S. Haddad, and A. Halder

24. Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions
       IEEE Transactions on Power Systems
       A. Halder, K.F. Caluya, P. Ojaghi, and X. Geng

23. Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties
       IEEE Control Systems Letters (also in CDC 2022)
       S. Haddad, and A. Halder

22. Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving
       IEEE Transactions on Control Systems Technology
       S. Haddad, A. Halder, and B. Singh

21. Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift
       IEEE Transactions on Automatic Control
       K.F. Caluya, and A. Halder

20. Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving
       IEEE Control Systems Letters (also in ACC 2021)
       S. Haddad, K.F. Caluya, A. Halder, and B. Singh

19. Smallest Ellipsoid Containing $p$-sum of Ellipsoids with Application to Reachability Analysis
       IEEE Transactions on Automatic Control
       A. Halder

18. Hopfield Neural Network Flow: A Geometric Viewpoint
       IEEE Transactions on Neural Networks and Learning Systems
       A. Halder, K.F. Caluya, B. Travacca, and S.J. Moura

17. Gradient Flow Algorithms for Density Propagation in Stochastic Systems
       IEEE Transactions on Automatic Control
       K.F. Caluya, and A. Halder

16. Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies
       IEEE Control Systems Letters (also in CDC 2019)
       F.A.C.C. Fontes, A. Halder, J. Becerril, and P.R. Kumar

15. Stability Theory of Stochastic Models in Opinion Dynamics
       IEEE Transactions on Automatic Control
       Z. Askarzadeh, R. Fu, A. Halder, Y. Chen and T.T. Georgiou

14. DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent
       IEEE Control Systems Letters
       A. Halder

13. CPAR Control Theory and Automation Symposium
       IEEE Control Systems Magazine
       A. Halder, and R.G. Sanfelice

12. Optimal Power Consumption for Demand Response of Thermostatically Controlled Loads
       Optimal Control Applications and Methods
       A. Halder, X. Geng, F.A.C.C. Fontes, P.R. Kumar and L. Xie

11. Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity
       IEEE Transactions on Power Systems
       A. Halder, X. Geng, P.R. Kumar and L. Xie
         Paper selected by the IEEE Power & Energy Society (PES) Technical Committee for presentation in 2017 PES General Meeting

10. Nonlinear Estimation with Perron-Frobenius Operator and Karhunen-Loève Expansion
       IEEE Transactions on Aerospace and Electronic Systems
       P. Dutta, A. Halder, and R. Bhattacharya

9. Optimal Transport Approach for Probabilistic Robustness Analysis of F-16 Controllers
       Journal of Guidance, Control and Dynamics
       A. Halder, K. Lee and R. Bhattacharya

8. Performance and Robustness Analysis of Stochastic Jump Linear Systems using Wasserstein Metric
       Automatica
       K. Lee, A. Halder and R. Bhattacharya

7. Probabilistic Model Validation for Uncertain Nonlinear Systems
       Automatica
       A. Halder and R. Bhattacharya

6. Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing
       SIAM Journal on Applied Dynamical Systems
       T. Kalmar-Nagy, P. Wahi and A. Halder

5. Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation
       Journal of Guidance, Control and Dynamics
       A. Halder and R. Bhattacharya

4. Micro Air Vehicle Path Planning in Fuzzy Quadtree Framework
       Applied Soft Computing
       S. Ghosh, A. Halder and M. Sinha

3. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
       Communications in Nonlinear Science and Numerical Simulations
       S. Zhao, A. Halder and T. Kalmar-Nagy

2. Fuzzy State Noise Driven Kalman Filter for Sensor Fusion
       Journal of Aerospace Engineering, Proceedings of the Institution of Mechanical Engineers, Part G
       S. Chauhan, C. Patil, M. Sinha and A. Halder

1. Determination of Inertial Characteristics of A High Wing Unmanned Air Vehicle
       Journal of Institute of Engineers (India)
       A. Halder, R. Garhwal, V. Agarwal and M. Sinha

Conference

39. Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
       ACC 2023
       S. Haddad, and A. Halder

38. A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly
       ACC 2023
       I. Nodozi, J. O’Leary, A. Mesbah, and A. Halder
         Invited paper in Session ‘Learning and Stochastic Optimal Control’

37. Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators
       CDC 2022
       I. Nodozi, and A. Halder

36. A Distributed Algorithm for Measure-valued Optimization with Additive Objective
       Mathematical Theory of Networks and Systems (MTNS) 2022
       I. Nodozi, and A. Halder
         Invited paper in Session ‘Optimal transport: Theory and applications in networks and systems’

35. Boundary and Taxonomy of Integrator Reach Sets
       ACC 2022
       S. Haddad, and A. Halder

34. On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost
       CDC 2021
       I.M. Balci, A. Halder, and E. Bakolas

33. Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems
       Workshop on Computation-Aware Algorithmic Design for Cyber-Physical systems, CPS-IoT week 2021
       S. Haddad, and A. Halder

32. Reflected Schrödinger Bridge: Density Control with Path Constraints
       ACC 2021
       K.F. Caluya, and A. Halder

31. The Convex Geometry of Integrator Reach Sets
       ACC 2020
       Some calculation details
       S. Haddad, and A. Halder

30. Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems
       ACC 2020
       K.F. Caluya, and A. Halder

29. Proximal Recursion for the Wonham Filter
       CDC 2019
       A. Halder, and T.T. Georgiou
         Invited paper in Session ‘Advances in Nonlinear Filtering and Stochastic Control with Partial Information I’

28. Proximal Recursion for Solving the Fokker-Planck Equation
       ACC 2019
       K.F. Caluya, and A. Halder

27. Stability Analysis of Opinion Dynamics over Influence Networks
       ACC 2019
       Z. Askarzadeh, R. Fu, A. Halder, Y. Chen, and T.T. Georgiou

26. On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids
       CDC 2018
       A. Halder

25. Gradient Flows in Filtering and Fisher-Rao Geometry
       ACC 2018
       A. Halder and T.T. Georgiou
         Invited paper in Session ‘Filtering’

24. Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems
       CDC 2017
       A. Halder and T.T. Georgiou

23. Finite Horizon Linear Quadratic Gaussian Density Regulator with Wasserstein Terminal Cost
       ACC 2016
       A. Halder and E.D.B. Wendel

22. A Control System Framework for Privacy Preserving Demand Response of Thermal Inertial Loads
       SmartGridComm 2015
       A. Halder, X. Geng, G. Sharma, L. Xie, and P.R. Kumar

21. A Dynamical System Pair with Identical First Two Moments But Different Probability Densities
       CDC 2014
       A. Halder, K. Lee and R. Bhattacharya
         Invited paper in Session ‘Modeling’

20. Geodesic Density Tracking with Applications to Data Driven Modeling
       ACC 2014
       A. Halder and R. Bhattacharya
         Invited paper in Session ‘Dynamic Data-driven Application Systems’

19. Probabilistic Robustness Analysis of Stochastic Jump Linear Systems
       ACC 2014
       K. Lee, A. Halder and R. Bhattacharya

18. Probabilistic Robustness Analysis of F-16 Controller Performance: An Optimal Transport Approach
       ACC 2013
       A. Halder, K. Lee and R. Bhattacharya

17. Nonlinear Filtering with Transfer Operator
       ACC 2013
       P. Dutta, A. Halder and R. Bhattacharya
         Best presentation in Session ‘Filtering’ Award in 2013 ACC

16. Frequency Domain Model Validation in Wasserstein Metric
       ACC 2013
       A. Halder and R. Bhattacharya

15. Further Results on Probabilistic Model Validation in Wasserstein Metric
       CDC 2012
       A. Halder and R. Bhattacharya

14. Uncertainty Quantification for Stochastic Nonlinear Systems using Perron-Frobenius Operator and Karhunen-Loève Expansion
       MSC 2012
       P. Dutta, A. Halder and R. Bhattacharya

13. Model Validation: A Probabilistic Formulation
       CDC 2011
       A. Halder and R. Bhattacharya

12. Beyond Monte Carlo: A Computational Framework for Uncertainty Propagation in Planetary Entry, Descent and Landing
       GNC 2010
       A. Halder and R. Bhattacharya

11. Leader-Follower Dynamics for Unicycles
       ACC 2009
       S. Zhao, A. Halder and T. Kalmar-Nagy

10. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
       8th MSU-UAB Conference on Differential Equations and Computational Simulations 20096th International Conference on Mathematical Modeling
       S. Zhao, A. Halder and T. Kalmar-Nagy

9. Delay Tuned Phase Locking in A Pair of Coupled Limit Cycle Oscillators
       6th International Conference on Mathematical Modeling (MATHMOD) 2009
       T. Kalmar-Nagy, A. Halder and S. Zhao

8. FLIER: A Novel Sensor Fusion Algorithm
       3rd IEEE International Conference on Industrial and Information Systems 2008
       S. Chauhan, C. Patil, A. Halder and M. Sinha

7. Lunar Satellite Observation Vector Construction using Non-rotating Origin and IAU2000A Precession-Nutation Model
       Conference on Advances in Space Science and Technology 2008
       M. Sinha, A. Halder, R. Garhwal, N. S. Gopinath and N. K. Malik

6. Lunar Gravity Field Modeling: A Critical Survey
       Conference on Advances in Space Science and Technology 2008
       M. Sinha, A. Halder, R. Garhwal, A. K. Ghosh, N. S. Gopinath and N. K. Malik

5. Inertial Characterization of Unmanned Aerial Vehicle AX-1
       4th International Conference on Theoretical, Applied, Computational and Experimental Mechanics 2007
       V. Agarwal, A. Halder, R. Garhwal, A. Gupta, S. Ghosh, S. Saxena and M. Sinha

4. Fuzzy Quadtree based Path Planner and Trajectory Smoother for A Low Cost Unmanned Aerial Vehicle
       3rd Indian International Conference on Artificial Intelligence 2007
       A. Halder, S. Ghosh and M. Sinha

3. Sensitivity Analysis using Neural Network for Estimating Aircraft Stability and Control Derivatives
       IEEE International Conference on Intelligent and Advanced Systems 2007
       R. Garhwal, A. Halder and M. Sinha

2. An Adaptive Fuzzy State Noise Driven Extended Kalman filter for Real-time Orbit Determination
       58th International Astronautical Congress 2007
       R. Garhwal, A. Halder and M. Sinha

1. Path Planning for A Fixed Wing Micro Air Vehicle in Fuzzy Quadtree Framework
       7th European Micro Air Vehicle Conference 2007
       S. Ghosh, A. Halder and M. Sinha

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