Publications

Preprint

0. Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach
       A.M.H. Teter, I. Nodozi and A. Halder

0. Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge and Reaction-Diffusion PDEs
       A.M.H. Teter, I. Nodozi and A. Halder

0. Wasserstein Consensus ADMM
       I. Nodozi, and A. Halder

0. Global Convergence of Second-order Dynamics in Two-layer Neural Networks
       W. Krichene, K.F. Caluya, and A. Halder

0. Finite Horizon Density Control for Static State Feedback Linearizable Systems
       K.F. Caluya, and A. Halder

2024

74. Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software
       ACC 2024
       G.A. Bondar, R. Gifford, L.T.X. Phan and A. Halder

2023

73. Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input
       IEEE Control Systems Letters (also in ACC 2024)
       S. Haddad, P. Khodary, and A. Halder

72. Proximal Mean Field Learning in Shallow Neural Networks
       Transactions on Machine Learning Research
       A.M.H. Teter, I. Nodozi, and A. Halder

71. Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly
       IEEE Transactions on Control Systems Technology
       I. Nodozi, C. Yan, M. Khare, A. Halder, and A. Mesbah

70. On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems
       IEEE Control Systems Letters (also in ACC 2024)
       A.M.H. Teter, Y. Chen, and A. Halder

69. A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
       Set-Valued and Variational Analysis
       S. Haddad, and A. Halder

68. Optimal Mass Transport over the Euler Equation
       CDC 2023
       C. Yan, I. Nodozi, and A. Halder
         Invited paper in Session 'Optimal Transport: Theory and Applications in Systems and Control'

67. A Controlled Mean Field Model for Chiplet Population Dynamics
       IEEE Control Systems Letters (also in CDC 2023)
       I. Nodozi, A. Halder, and I. Matei

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

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

64. 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'

2022

63. 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

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

61. 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'

60. 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

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

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

2021

57. 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

56. 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

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

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

2020

53. 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

52. Smallest Ellipsoid Containing \(p\)-sum of Ellipsoids with Application to Reachability Analysis
       IEEE Transactions on Automatic Control
       A. Halder

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

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

49. 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

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

2019

47. 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'

46. 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

45. 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

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

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

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

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

2018

40. 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

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

38. Gradient Flows in Filtering and Fisher-Rao Geometry
       ACC 2018
       A. Halder and T.T. Georgiou
         Invited paper in Session 'Filtering'

2017

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

36. 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

2016

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

2015

34. Pontryagin's Method of Indirect Adjoints for Optimal Control with State Inequality Constraints: A Concrete Example
       A. Halder

33. 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

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

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

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

2014

29. 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'

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

27. 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'

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

2013

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

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

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

2012

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

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

2011

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

19. Performance Bounds for Dispersion Analysis: A Comparison Between Monte Carlo and Perron-Frobenius Operator Approach
       A. Halder and R. Bhattacharya

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

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

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

2010

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

2009

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

13. 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

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

11. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
       8th MSU-UAB Conference on Differential Equations and Computational Simulations, 2009
       S. Zhao, A. Halder and T. Kalmar-Nagy

10. 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

2008

9. 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

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

2007

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