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.
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Table of Contents
1. Control and numerical approximation of fractional diffusion equationsUmberto 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 Tr�ltzsch
5. Numerical solution of multi-objective optimal control and hierarchic controllability problems
Enrique Fern�ndez-Cara
6. Numerics for stochastic distributed parameter control systems: a finite transposition method
Qi L�, 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 J�r�me Loh�ac
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 Gr�ne
12. Some challenging optimization problems for logistic diffusive equations and their numerical modeling
Idriss Mazari, Gr�goire 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 Pag�s 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
