On the bang-bang principle for nonlinear evolution hemivariational inequalities control systems

[摘要] The purpose of this paper is to discuss the control systems of nonlinear evolution hemivariational inequalities and their bang-bang principle in Banach space. At first, we show that extremal trajectories are in fact dense in the trajectories of the original system with convexified feedback control. Second, by using the density results, the nonlinear and infinite dimensional versions of the bang-bang principle for hemivariational inequalities control systems is derived. In the end, an example is provided to illustrate the application of the obtained theory. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Hemivariational inequalities;Extremal trajectory;Generalized Clarke subdifferential;Bang-bang principle