Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms

MR2075285 Junhong HA and Shin-ichi NAKAGIRI Junhong HA and Shin-ichi NAKAGIRI Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms Funkcialaj Ekvacioj. Serio Internacia 47 2004 1--23 http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-1/47_1.pdf http://www.ams.org/mathscinet-getitem?mr=MR2075285 In this paper we study the quadratic optimal control problems for the nonlinear damped second order evolution equations in Hilbert spaces of Gelfand fivefolds. We prove the existence of optimal controls, and establish the necessary conditions of optimality according to various types of observations by using the transposition method. Nonlinear hyperbolic system, Optimal control, Optimality condition, Transposition method. 49K20, 49J20, 35L70. 47-1 2004 Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms Junhong HA and Shin-ichi NAKAGIRI Junhong HA and Shin-ichi NAKAGIRI

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