Controllability of Partial Differential Equations Governed by Multiplicative Controls

• Κύριος συγγραφέας: Khapalov, Alexander Y. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Lecture Notes in Mathematics, 1995
• Θέματα: Mathematics.; Partial differential equations.; System theory.; Calculus of variations.; Biomathematics.; Fluid mechanics.; Partial Differential Equations.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Mathematical and Computational Biology.; Engineering Fluid Dynamics.
• Φυσική περιγραφή: XV, 284 p. 26 illus. online resource.
• ISBN: 9783642124136
• ISSN: 0075-8434 ;

The goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic and hyperbolic PDE's, the Schrödinger equation, and coupled hybrid nonlinear distributed parameter systems modeling the swimming phenomenon. The book offers a new, high-quality and intrinsically nonlinear methodology to approach the aforementioned highly nonlinear controllability problems.