Optimal Control for a Class of Hyperbolic Hemivariational Inequalities

S. Migórski (Poland)


Control Theory, hemivariational inequalities, Clarke subdifferential.


In this paper we study the optimal control of systems monitored by an abstract second order in time hemivariational inequalities with damping. First exploiting a surjectivity result we show that the hemivariational inequality has a global weak solution. Then, for distributed parameter control systems we consider the Bolza and the time optimal control problems. We deliver conditions that guarantee the existence of optimal solutions.

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