Boundary Stabilization of Parabolic Equations
Springer International Publishing (Verlag)
978-3-030-11098-7 (ISBN)
The text provides answers to the following problems, which are of great practical importance:
- Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state
- Designing observers for the considered control systems
- Constructing time-discrete controllers requiring only partial knowledge of the state
Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Preliminaries.- Stabilization of Abstract Parabolic Equations.- Stabilization of Periodic Flows in a Channel.- Stabilization of the Magnetohydrodynamics Equations in a Channel.- Stabilization of the Cahn-Hilliard System.- Stabilization of Equations with Delays.- Stabilization of Stochastic Equations.- Stabilization of Nonsteady States.- Internal Stabilization of Abstract Parabolic Systems.
"This book will be of particular interest to researchers in control theory and engineers whose work involves systems control. It also provides an extensive bibliography to guide those who wish to delve further into these matters." (Larbi Berrahmoune, Mathematical Reviews, March 2, 2020)
"This book is well written and clear, it's a nice reference for the boundary stabilization of parabolic equations." (Kaïs Ammari, zbMATH 1421.93066, 2019)
Erscheinungsdatum | 06.03.2019 |
---|---|
Reihe/Serie | PNLDE Subseries in Control | Progress in Nonlinear Differential Equations and Their Applications |
Zusatzinfo | XII, 214 p. 8 illus., 3 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 499 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Technik ► Elektrotechnik / Energietechnik | |
Schlagworte | Boundary stabilization • Cahn-Hilliard System • Control Theory • Feedback Control • Magnetohydrodynamics equations • Parabolic partial differential equations • Partial differential equations • stochastic partial differential equations |
ISBN-10 | 3-030-11098-2 / 3030110982 |
ISBN-13 | 978-3-030-11098-7 / 9783030110987 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich