Controllability of Partial Differential Equations Governed by Multiplicative Controls

• Main Author: Khapalov, Alexander Y. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1995
• Subjects: 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.
• Physical Description: 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.