Controllability of Partial Differential Equations Governed by Multiplicative Controls
Controllability of Partial Differential Equations Governed by Multiplicative Controls by Alexander Y. Khapalov
English | PDF | 2010 | 296 Pages | ISBN : 3642124127 | 3.2 MB
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.
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