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

• DOI: 10.1619/fesi.47.1
• Publication Date: 2004-06-09T06:03:00Z
• Authors: Junhong Ha; Shin-ichi Nakagiri
• Keywords: 0101 mathematics; 01 natural sciences

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.