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Full Description
Numerical ControlAnalysis 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.
Contents
1. Control and numerical approximation of fractional diffusion equationsUmberto Biccari, Mahamadi Warma, and Enrique Zuazua2. Modeling, control, and numerics of gas networksMartin Gugat and Michael Herty3. Optimal control, numerics, and applications of fractional PDEsHarbir Antil, Thomas Brown, Ratna Khatri, Akwum Onwunta, Deepanshu Verma, and Mahamadi Warma4. Optimal control of PDEs and FE-approximationEduardo Casas, Karl Kunisch, and Fredi Troeltzsch5. Numerical solution of multi-objective optimal control and hierarchic controllability problemsEnrique Fernandez-Cara6. Numerics for stochastic distributed parameter control systems: a finite transposition methodQi Lu, Penghui Wang, Yanqing Wang, and Xu Zhang7. Numerical solutions of stochastic control problems: Markov chain approximation methodsZhuo Jin, Ky Tran, and George Yin8. Control of parameter dependent systemsMartin Lazar and Jerome Loheac9. Space-time POD-Galerkin approach for parametric flow controlFrancesco Ballarin, Gianluigi Rozza, and Maria Strazzullo10. Moments and convex optimization for analysis and control of nonlinear PDEsMilan Korda, Didier Henrion, and Jean Bernard Lasserre11. Turnpike properties in optimal controlTimm Faulwasser and Lars Grune12. Some challenging optimization problems for logistic diffusive equations and their numerical modelingIdriss Mazari, Gregoire Nadin, and Yannick Privat13. Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctionsLeon Bungert and Martin Burger14. Dynamic Programming versus supervised learningGilles Pages and Olivier Pironneau15. Data-driven modeling and control of large-scaledynamical systems in the Loewner frameworkIon Victor Gosea, Charles Poussot-Vassal, and Athanasios C. Antoulas16. Machine learning and control theoryAlain Bensoussan, Yiqun Li, Dinh Phan Cao Nguyen, Minh-Binh Tran, Sheung Chi Phillip Yam, and Xiang Zhou
