Relaxation in nonconvex optimal control for nonlinear evolution hemivariational inequalities

2019 ◽  
Vol 50 ◽  
pp. 613-632
Author(s):  
Maojun Bin ◽  
Zhenhai Liu
Keyword(s):  
Optimal Control ◽  
Nonlinear Evolution ◽  
Hemivariational Inequalities ◽  
Evolution Hemivariational Inequalities

scholarly journals Optimal Control of Second Order Stochastic Evolution Hemivariational Inequalities with Poisson Jumps

2017 ◽  
Vol 21 (6) ◽  
pp. 1455-1475 ◽  
Author(s):  
Palanisamy Muthukumar ◽  
Nagarajan Durga ◽  
Fathalla A. Rihan ◽  
Chinnathambi Rajivganthi
Keyword(s):  
Optimal Control ◽  
Second Order ◽  
Hemivariational Inequalities ◽  
Stochastic Evolution ◽  
Poisson Jumps ◽  
Evolution Hemivariational Inequalities

scholarly journals Optimal control of feedback control systems governed by systems of evolution hemivariational inequalities

Filomat ◽  
2018 ◽  
Vol 32 (15) ◽  
pp. 5205-5220 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Zhenhai Liu ◽  
Jen-Chih Yao ◽  
Yonghong Yao
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Feedback Control ◽  
Control Systems ◽  
Existence Result ◽  
Sufficient Conditions ◽  
Hemivariational Inequalities ◽  
Feedback Control System ◽  
Feedback Control Systems ◽  
Evolution Hemivariational Inequalities

In this paper, we introduce and consider a feedback control system governed by the system of evolution hemivariational inequalities. Several sufficient conditions are formulated by virtue of the properties of multimaps and partial Clarke?s subdifferentials such that the existence result of feasible pairs of the feedback control systems is guaranteed. Moreover, an existence result of optimal control pairs for an optimal control system is also established.

Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control

2021 ◽  
Vol 59 (2) ◽  
pp. 1246-1274
Author(s):  
Shengda Zeng ◽  
Stanisław Migórski ◽  
Akhtar A. Khan
Keyword(s):  
Optimal Control ◽  
Hemivariational Inequalities
Sign in / Sign up

Export Citation Format

Share Document