Boundary Control of PDEs: A Course on Backstepping Designs available in Hardcover
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About the Author
Andrey Smyshlyaev is a postdoctoral scholar at the University of California, San Diego. His research interests include control of distributed parameter systems, adaptive control, and nonlinear control.
Table of ContentsList of figures; List of tables; Preface; 1. Introduction; 2. Lyapunov stability; 3. Exact solutions to PDEs; 4. Parabolic PDEs: reaction-advection-diffusion and other equations; 5. Observer design; 6. Complex-valued PDEs: Schrödinger and Ginzburg–Landau equations; 7. Hyperbolic PDEs: wave equations; 8. Beam equations; 9. First-order hyperbolic PDEs and delay equations; 10. Kuramoto–Sivashinsky, Korteweg–de Vries, and other 'exotic' equations; 11. Navier–Stokes equations; 12. Motion planning for PDEs; 13. Adaptive control for PDEs; 14. Towards nonlinear PDEs; Appendix. Bessel functions; Bibliography; Index.