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Sachin Shivakumar

CNLS Postdoctoral Research Associate
T-5

Modern Control Theory

Office: TA-3, Bldg 1690, Room 119
Mail Stop: B258
Email: sshivakumar@lanl.gov

Research highlight

    My primary interest lies in advancing both fundamental theory and computational methods to solve problems in control of dynamical systems. Currently, I am focusing on application of control & optimization techniques for systems governed by PDE/AI models.

Talks at CNLS:
 Educational Background/Employment:
  • Ph. D. (2024) Mechanical Engineering, Arizona State University – Tempe
  • M. S. (2018) Mechanical Engineering, Arizona State University – Tempe
  • B. Tech (2015) Mechanical Engineering, Indian Institute of Technology – Kharagpur
  • Employment:
    • Postdoctoral Researcher (2025) Department of Aerospace Engineering, Iowa State University

Research Interests:

  • Convex optimization
  • Control of Infinite-dimensional systems
  • Optimal and Robust Control
  • Intersection of Control theory and Machine Learning
Google Scholar

Selected Recent Publications:

  1. Shivakumar, S. ; Das, A. ; Weiland, S. ; Peet, M.. Extension of the Partial Integral Equation Representation to GPDE Input-Output Systems (2024) 10.1109/TAC.2024.3505954
  2. Shivakumar, S. ; Bondar, G. A. ; Khan, G. ; Halder, A.. Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps (2024) 10.48550/arXiv.2412.13372
  3. Shivakumar, S. ; Peet, M.. A Computational Method for H2-optimal Estimator and State Feedback Controller Synthesis for PDEs (2024) 10.48550/arXiv.2403.08052
  4. Shivakumar, S. ; Das, A. ; Peet, M.. Dual Representations and $H_ {infty}$-Optimal Control of Partial Differential Equations. (2025) 10.48550/arXiv.2208.13104

CNLS Publications:

  • Shivakumar, Sachin; Peet, Matthew; Das, Amritam. Dual Representations and $H_{infinity}$-Optimal Control of Partial Differential Equations. IEEE Transactions on Automatic Control 2025
  • Elamvazhuthi, Karthik; Shivakumar, Sachin. Uniform Sampling from the Reachable Set Using Optimal Transport. IEEE Control Systems Letters 2025 10.48550/arXiv.2509.15571
  • Braghini, Danilo; Shivakumar, Sachin; Peet, Matthew. $H_2$-Optimal Estimation of Linear Delayed and PDE Systems. 2025 https://cnls.lanl.gov/External/pubs/LA-UR-25-28328.pdf
  • Teter, Alexis M. H.; Wang, Wenqing; Shivakumar, Sachin; Halder, Abhishek. Markov Kernels, Distances and Optimal Control: A Parable of Linear Quadratic Non-Gaussian Distribution Steering. IEEE Transactions on Automatic Control 2025 10.48550/arXiv.2504.15753
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