?? Paper Spotlight ?? Today, let’s dive into the groundbreaking work of Alexander Krolicki, S. Sutivani, and U. Vaidya in their paper, “Koopman-based Policy Iteration for Robust Optimal Control”, presented at the 2022 American Control Conference in Atlanta. In the 1960s, pioneers like Pontryagin, Berkovitz, and LaSalle laid the foundation for one-player differential games, while von Neumann and Morgenstern introduced game theory for two-player scenarios. Rufus Isaacs’ 1965 seminal work, “Differential Games,” provided practical solutions for these complex problems, thanks to his collaboration with Professor Bernard Koopman. Isaacs credited Koopman for his innovative thinking, which was crucial for the development of his theories. Fast forward to today, Koopman’s legacy lives on through the Koopman Operator, a concept he introduced in 1931. It took nearly eight decades to develop methods for computing this operator using sampled data, and now, 91 years later, it’s revolutionizing differential games. The paper under review presents a novel approach to solving two-player zero-sum differential games using the Koopman operator. This method combines data-driven and model-based algorithms to approximate the optimal value function, offering robust control solutions for complex nonlinear systems. Just three years after its publication, this paper has already been cited by leading researchers from the National Security Directorate, PNNL, and AFRL in the Journal of Computational Physics. Their work, “Operator-Theoretic Methods for Differential Games,” builds on these novel contributions, highlighting the paper’s pioneering impact. We are incredibly proud of our team member's contribution to Koopman research, if you are interested feel free to join the conversation and share your thoughts on these advancements! #publication #paper #research #koopman #scientificpaper
Excellent paper! Fantastic work !
Great to have the first author Alexander Krolicki at AIMdyn, Inc.!
Junior Researcher at Aimdyn Inc.
1 个月Insightful, thank you for your hard work!