Dynamical Systems

Exploiting nonlinearity and shaping dynamics in creative and deeply mathematical ways.

We apply dynamical systems theory in applications ranging from space probe trajectory optimization to elevator suspensions. We also develop fundamental theory and computational methods in fluid dynamics.

  • Researchers

  • Awards

    •  AWARD    University of Padua and MERL team wins the AI Olympics with RealAIGym competition at IROS24
      Date: October 17, 2024
      Awarded to: Niccolò Turcato, Alberto Dalla Libera, Giulio Giacomuzzo, Ruggero Carli, Diego Romeres
      MERL Contact: Diego Romeres
      Research Areas: Artificial Intelligence, Dynamical Systems, Machine Learning, Robotics
      Brief
      • The team composed of the control group at the University of Padua and MERL's Optimization and Robotic team ranked 1st out of the 4 finalist teams that arrived to the 2nd AI Olympics with RealAIGym competition at IROS 24, which focused on control of under-actuated robots. The team was composed by Niccolò Turcato, Alberto Dalla Libera, Giulio Giacomuzzo, Ruggero Carli and Diego Romeres. The competition was organized by the German Research Center for Artificial Intelligence (DFKI), Technical University of Darmstadt and Chalmers University of Technology.

        The competition and award ceremony was hosted by IEEE International Conference on Intelligent Robots and Systems (IROS) on October 17, 2024 in Abu Dhabi, UAE. Diego Romeres presented the team's method, based on a model-based reinforcement learning algorithm called MC-PILCO.
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    •  AWARD    MERL’s Paper on Wi-Fi Sensing Earns Top 3% Paper Recognition at ICASSP 2023, Selected as a Best Student Paper Award Finalist
      Date: June 9, 2023
      Awarded to: Cristian J. Vaca-Rubio, Pu Wang, Toshiaki Koike-Akino, Ye Wang, Petros Boufounos and Petar Popovski
      MERL Contacts: Petros T. Boufounos; Toshiaki Koike-Akino; Pu (Perry) Wang; Ye Wang
      Research Areas: Artificial Intelligence, Communications, Computational Sensing, Dynamical Systems, Machine Learning, Signal Processing
      Brief
      • A MERL Paper on Wi-Fi sensing was recognized as a Top 3% Paper among all 2709 accepted papers at the 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2023). Co-authored by Cristian Vaca-Rubio and Petar Popovski from Aalborg University, Denmark, and MERL researchers Pu Wang, Toshiaki Koike-Akino, Ye Wang, and Petros Boufounos, the paper "MmWave Wi-Fi Trajectory Estimation with Continous-Time Neural Dynamic Learning" was also a Best Student Paper Award finalist.

        Performed during Cristian’s stay at MERL first as a visiting Marie Skłodowska-Curie Fellow and then as a full-time intern in 2022, this work capitalizes on standards-compliant Wi-Fi signals to perform indoor localization and sensing. The paper uses a neural dynamic learning framework to address technical issues such as low sampling rate and irregular sampling intervals.

        ICASSP, a flagship conference of the IEEE Signal Processing Society (SPS), was hosted on the Greek island of Rhodes from June 04 to June 10, 2023. ICASSP 2023 marked the largest ICASSP in history, boasting over 4000 participants and 6128 submitted papers, out of which 2709 were accepted.
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  • News & Events

    •  NEWS    MERL researchers present 9 papers at ACC 2024
      Date: July 10, 2024 - July 12, 2024
      Where: Toronto, Canada
      MERL Contacts: Ankush Chakrabarty; Vedang M. Deshpande; Stefano Di Cairano; Christopher R. Laughman; Arvind Raghunathan; Abraham P. Vinod; Yebin Wang; Avishai Weiss
      Research Areas: Artificial Intelligence, Control, Dynamical Systems, Machine Learning, Multi-Physical Modeling, Optimization, Robotics
      Brief
      • MERL researchers presented 9 papers at the recently concluded American Control Conference (ACC) 2024 in Toronto, Canada. The papers covered a wide range of topics including data-driven spatial monitoring using heterogenous robots, aircraft approach management near airports, computation fluid dynamics-based motion planning for drones facing winds, trajectory planning for coordinated monitoring using a team of drones and a ground carrier vehicle, ensemble Kalman smoothing-based model predictive control for motion planning for autonomous vehicles, system identification for Lithium-ion batteries, physics-constrained deep Kalman filters for vapor compression systems, switched reference governors for constrained systems, and distributed road-map monitoring using onboard sensors.

        As a sponsor of the conference, MERL maintained a booth for open discussions with researchers and students, and hosted a special session to discuss highlights of MERL research and work philosophy.

        In addition, Abraham Vinod served as a panelist at the Student Networking Event at the conference. The student networking event provides an opportunity for all interested students to network with professionals working in industry, academia, and national laboratories during a structured event, and encourages their continued participation as the future leaders in the field.
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    •  NEWS    Diego Romeres gave an invited talk at the Padua University's Seminar series on "AI in Action"
      Date: April 9, 2024
      MERL Contact: Diego Romeres
      Research Areas: Artificial Intelligence, Dynamical Systems, Machine Learning, Optimization, Robotics
      Brief
      • Diego Romeres, Principal Research Scientist and Team Leader in the Optimization and Robotics Team, was invited to speak as a guest lecturer in the seminar series on "AI in Action" in the Department of Management and Engineering, at the University of Padua.

        The talk, entitled "Machine Learning for Robotics and Automation" described MERL's recent research on machine learning and model-based reinforcement learning applied to robotics and automation.
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  • Internships

    • EA0071: Internship - Modeling and Estimation of Electrical Machines

      MERL is seeking a highly motivated and qualified individual to conduct research in differentiable modeling, estimation and control of electrical machines. The ideal candidate should have solid backgrounds in dynamical modeling of electrical machines, parameter estimation, and control theory. A proven record of publishing results in leading conferences/journals is necessary. Demonstrated knowledge of sensorless drive and experience of using dSPACE for real-time HIL experimentation is a plus. Senior Ph.D. students in electrical engineering, control, and related areas are encouraged to apply. Start date for this internship is flexible and the duration is about 3 months.

    • MS0102: Internship - Estimation and Calibration of Multi-physical Systems Using Experiments

      MERL is looking for a highly motivated and qualified candidate to work on estimation and calibration of muti-physical systems governed by differential algebraic equations (DAEs). The research will involve study, development and efficient implementation of estimation/calibration approaches for large-scale nonlinear systems, e.g., vapor compression cycles, with limited experimental data. The ideal candidate will have a strong background in one or multiple of the following topics: nonlinear control and estimation, optimization, and model calibration; with expertise demonstrated via, e.g., peer-reviewed publications. Prior experience in working with experimental data, and programming in Julia/Modelica is a plus. Senior PhD students in mechanical, electrical, chemical engineering or related fields are encouraged to apply. The typical duration of internship is 3 months, and the start date is flexible.

      Required Specific Experience

      • Graduate student with 2+ years of relevant research experience

      Additional Desired Experience

      • Strong programming skills in Julia or Modelica
      • Prior experience in working with thermofluid systems
      • Prior experience in estimation/calibration of complex nonlinear systems using experimental data

      Mitsubishi Electric Research Labs, Inc. "MERL" provides equal employment opportunities (EEO) to all employees and applicants for employment without regard to race, color, religion, sex, national origin, age, disability or genetics. In addition to federal law requirements, MERL complies with applicable state and local laws governing nondiscrimination in employment in every location in which the company has facilities. This policy applies to all terms and conditions of employment, including recruiting, hiring, placement, promotion, termination, layoff, recall, transfer, leaves of absence, compensation and training.

      MERL expressly prohibits any form of workplace harassment based on race, color, religion, gender, sexual orientation, gender identity or expression, national origin, age, genetic information, disability, or veteran status. Improper interference with the ability of MERL’s employees to perform their job duties may result in discipline up to and including discharge.

      Working at MERL requires full authorization to work in the U.S and access to technology, software and other information that is subject to governmental access control restrictions, due to export controls. Employment is conditioned on continued full authorization to work in the U.S and the availability of government authorization for the release of these items, which might include without limitation, obtaining an export license or other documentation. MERL may delay commencement of employment, rescind an offer of employment, terminate employment, and/or modify job responsibilities, compensation, benefits, and/or access to MERL facilities and information systems, as MERL deems appropriate, to ensure practical compliance with applicable employment law and government access control restrictions.

    • CA0117: Internship - Feedforward-Feedback Co-Design

      MERL is seeking a graduate student to develop a scalable optimization-based framework for feedforward-feedback co-design for nonlinear dynamical systems subject to path constraints. The framework will 1) support modeling and operational uncertainties, and 2) guarantee static and dynamic feasibility in closed-loop. The solution approach will leverage the state-of-the-art in sequential convex programming, contraction analysis, and first-order methods for semidefinite programming. The methods will be evaluated on high-dimensional motion planning problems in robotics. The results of the internship are expected to be published in top-tier conferences and/or journal in robotics, control systems, and optimization.

      The internship is expected to start in Spring or Summer 2025 with an expected duration of 3-6 months depending on the agreed scope and intermediate progress.

      Required Specific Experience

      • Current/Past enrollment in a Ph.D. program in Mechanical, Aerospace, Electrical Engineering, Computer Science, or Applied Mathematics.
      • 2+ years of research in at least some of: first-order algorithms for SDPs, contraction analysis, nonconvex trajectory optimization.
      • Strong programming skills in Python and/or C/C++.


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  • Openings


    See All Openings at MERL
  • Recent Publications

    •  Vinod, A.P., Safaoui, S., Summers, T., Yoshikawa, N., Di Cairano, S., "Decentralized, Safe, Multi-agent Motion Planning for Drones Under Uncertainty via Filtered Reinforcement Learning", IEEE Transactions on Control Systems Technology, DOI: 10.1109/​TCST.2024.3433229, Vol. 32, No. 6, pp. 2492-2499, January 2025.
      BibTeX TR2024-136 PDF
      • @article{Vinod2025jan,
      • author = {Vinod, Abraham P. and Safaoui, Sleiman and Summers, Tyler and Yoshikawa, Nobuyuki and Di Cairano, Stefano}},
      • title = {Decentralized, Safe, Multi-agent Motion Planning for Drones Under Uncertainty via Filtered Reinforcement Learning},
      • journal = {IEEE Transactions on Control Systems Technology},
      • year = 2025,
      • volume = 32,
      • number = 6,
      • pages = {2492--2499},
      • month = jan,
      • doi = {10.1109/TCST.2024.3433229},
      • url = {https://www.merl.com/publications/TR2024-136}
      • }
    •  Nikovski, D.N., Zhong, J., Yerazunis, W.S., "Memory-Based Learning of Global Control Policies from Local Controllers", 21st International Conference on Informatics in Control, Automation and Robotics (ICINCO'24), November 2024.
      BibTeX TR2024-158 PDF
      • @inproceedings{Nikovski2024nov,
      • author = {{Nikovski, Daniel N. and Zhong, Junmin and Yerazunis, William S.}},
      • title = {Memory-Based Learning of Global Control Policies from Local Controllers},
      • booktitle = {21st International Conference on Informatics in Control, Automation and Robotics (ICINCO'24)},
      • year = 2024,
      • month = nov,
      • url = {https://www.merl.com/publications/TR2024-158}
      • }
    •  Sholokhov, A., Nabi, S., Rapp, J., Brunton, S., Kutz, N., Boufounos, P.T., Mansour, H., "Single-pixel imaging of spatio-temporal flows using differentiable latent dynamics", IEEE Transactions on Computational Imaging, October 2024.
      BibTeX TR2024-151 PDF
      • @article{Sholokhov2024oct,
      • author = {{Sholokhov, Aleksei and Nabi, Saleh and Rapp, Joshua and Brunton, Steven and Kutz, Nathan and Boufounos, Petros T. and Mansour, Hassan}},
      • title = {Single-pixel imaging of spatio-temporal flows using differentiable latent dynamics},
      • journal = {IEEE Transactions on Computational Imaging},
      • year = 2024,
      • month = oct,
      • url = {https://www.merl.com/publications/TR2024-151}
      • }
    •  Shimane, Y., Ho, K., Weiss, A., "Autonomous Horizon-Based Optical Navigation on Near-Planar Cislunar Libration Point Orbits", 4th Space Imaging Workshop, October 2024.
      BibTeX TR2024-139 PDF
      • @inproceedings{Shimane2024oct,
      • author = {Shimane, Yuri and Ho, Koki and Weiss, Avishai}},
      • title = {Autonomous Horizon-Based Optical Navigation on Near-Planar Cislunar Libration Point Orbits},
      • booktitle = {4th Space Imaging Workshop},
      • year = 2024,
      • month = oct,
      • url = {https://www.merl.com/publications/TR2024-139}
      • }
    •  Mowlavi, S., Benosman, M., "Reinforcement Learning-Based Estimation for Spatio-Temporal Systems", Nature Scientific Reports, DOI: 10.1038/​s41598-024-72055-1, Vol. 14, pp. 22464, October 2024.
      BibTeX TR2024-134 PDF
      • @article{Mowlavi2024oct,
      • author = {Mowlavi, Saviz and Benosman, Mouhacine}},
      • title = {Reinforcement Learning-Based Estimation for Spatio-Temporal Systems},
      • journal = {Nature Scientific Reports},
      • year = 2024,
      • volume = 14,
      • pages = 22464,
      • month = oct,
      • doi = {10.1038/s41598-024-72055-1},
      • url = {https://www.merl.com/publications/TR2024-134}
      • }
    •  Cao, W., Gao, J., Ma, T., Ma, R., Benosman, M., Zhang, X., "ROSE-Opt: Robust and Efficient Analog Circuit Parameter Optimization with Knowledge-infused Reinforcement Learning", IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, September 2024.
      BibTeX TR2024-132 PDF
      • @article{Cao2024sep,
      • author = {Cao, Weidong and Gao, Jian and Ma, Tianrui and Ma, Rui and Benosman, Mouhacine and Zhang, Xuan}},
      • title = {ROSE-Opt: Robust and Efficient Analog Circuit Parameter Optimization with Knowledge-infused Reinforcement Learning},
      • journal = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems},
      • year = 2024,
      • month = sep,
      • url = {https://www.merl.com/publications/TR2024-132}
      • }
    •  Romero, O., Benosman, M., Pappas, G., "From Convexity to Strong Convexity and Beyond: Bridging The Gap In Convergence Rates", IEEE Conference on Decision and Control (CDC), September 2024.
      BibTeX TR2024-131 PDF
      • @inproceedings{Romero2024sep,
      • author = {Romero, Orlando and Benosman, Mouhacine and Pappas, George}},
      • title = {From Convexity to Strong Convexity and Beyond: Bridging The Gap In Convergence Rates},
      • booktitle = {IEEE Conference on Decision and Control (CDC)},
      • year = 2024,
      • month = sep,
      • url = {https://www.merl.com/publications/TR2024-131}
      • }
    •  Quirynen, R., Safaoui, S., Di Cairano, S., "Real-time Mixed-Integer Quadratic Programming for Vehicle Decision Making and Motion Planning", IEEE Transactions on Control Systems Technology, September 2024.
      BibTeX TR2024-123 PDF
      • @article{Quirynen2024sep,
      • author = {Quirynen, Rien and Safaoui, Sleiman and Di Cairano, Stefano}},
      • title = {Real-time Mixed-Integer Quadratic Programming for Vehicle Decision Making and Motion Planning},
      • journal = {IEEE Transactions on Control Systems Technology},
      • year = 2024,
      • month = sep,
      • url = {https://www.merl.com/publications/TR2024-123}
      • }
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  • Videos

  • Software & Data Downloads