Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more.
1. Control and numerical approximation of fractional diffusion equations Umberto Biccari, Mahamadi Warma, and Enrique Zuazua 2. Modeling, control, and numerics of gas networks Martin Gugat and Michael Herty 3. Optimal control, numerics, and applications of fractional PDEs Harbir Antil, Thomas Brown, Ratna Khatri, Akwum Onwunta, Deepanshu Verma, and Mahamadi Warma 4. Optimal control of PDEs and FE-approximation Eduardo Casas, Karl Kunisch, and Fredi Tröltzsch 5. Numerical solution of multi-objective optimal control and hierarchic controllability problems Enrique Fernández-Cara 6. Numerics for stochastic distributed parameter control systems: a finite transposition method Qi Lü, Penghui Wang, Yanqing Wang, and Xu Zhang 7. Numerical solutions of stochastic control problems: Markov chain approximation methods Zhuo Jin, Ky Tran, and George Yin 8. Control of parameter dependent systems Martin Lazar and Jérôme Lohéac 9. Space-time POD-Galerkin approach for parametric flow control Francesco Ballarin, Gianluigi Rozza, and Maria Strazzullo 10. Moments and convex optimization for analysis and control of nonlinear PDEs Milan Korda, Didier Henrion, and Jean Bernard Lasserre 11. Turnpike properties in optimal control Timm Faulwasser and Lars Grüne 12. Some challenging optimization problems for logistic diffusive equations and their numerical modeling Idriss Mazari, Grégoire Nadin, and Yannick Privat 13. Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions Leon Bungert and Martin Burger 14. Dynamic Programming versus supervised learning Gilles Pagès and Olivier Pironneau 15. Data-driven modeling and control of large-scaledynamical systems in the Loewner framework Ion Victor Gosea, Charles Poussot-Vassal, and Athanasios C. Antoulas 16. Machine learning and control theory Alain Bensoussan, Yiqun Li, Dinh Phan Cao Nguyen, Minh-Binh Tran, Sheung Chi Phillip Yam, and Xiang Zhou
Emmanuel Trelat works at Sorbonne Universite in Laboratoire Jacques-Louis Lions, CNRS, Inria, equipe CAGE, Paris, France. Enrique Zuazua works in the Department of Mathematics at Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen in Germany.
