- Neu
Buch, Englisch, 192 Seiten, Format (B × H): 155 mm x 235 mm
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Buch, Englisch, 192 Seiten, Format (B × H): 155 mm x 235 mm
Reihe: Progress in Nonlinear Differential Equations and Their Applications
ISBN: 978-3-032-28491-4
Verlag: Birkhäuser
This monograph explores feedback stabilization of bilinear control systems evolving in Hilbert and Banach spaces, with particular emphasis on unbounded control operators arising in PDE models. It develops a unified and comprehensive framework for weak, strong, robust, and exponential stabilization, incorporating nonlinear feedback laws, such as homogeneous, normalized, and switching feedbacks. By combining tools from functional analysis, semigroup theory, and control theory, this book bridges linear and nonlinear stabilization strategies and highlights the robustness of feedback mechanisms in infinite-dimensional systems. will serve as an ideal resource for researchers, graduate students, and practitioners who seek deeper insight into the stabilization of PDE-governed systems as well as applications where bilinear dynamics naturally arise.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Preliminaries.- Weak and strong stabilization of bilinear systems in Hilbert spaces.- Feedback stabilization for a bilinear control system under weak observability inequalities.- Robust stabilization for affine control systems under weak observability inequalities.- Robust stabilization for affine control systems in reflexive state spaces.- Exponential stabilization of unstable bilinear systems in finite and infinite dimensional spaces.- Uniform exponential stabilization of nonlinear systems in Banach spaces.- Exponential stability of linear and bilinear systems under Miyadera perturbations.- Exponential stability of linear systems under Desch-Schappacher perturbations.- Exponential stability of linear systems under Weiss-Staffans perturbations.
