Extended Euler–Lagrange and Hamiltonian Conditions in Optimal Control of Sweeping Processes with Controlled Moving Sets

  title={Extended Euler–Lagrange and Hamiltonian Conditions in Optimal Control of Sweeping Processes with Controlled Moving Sets},
  author={Nguyen D. Hoang and Boris S. Mordukhovich},
  journal={Journal of Optimization Theory and Applications},
  • N. Hoang, B. Mordukhovich
  • Published 2019
  • Mathematics, Computer Science
  • Journal of Optimization Theory and Applications
This paper concerns optimal control problems for a class of sweeping processes governed by discontinuous unbounded differential inclusions that are described via normal cone mappings to controlled moving sets. Largely motivated by applications to hysteresis, we consider a general setting where moving sets are given as inverse images of closed subsets of finite-dimensional spaces under nonlinear differentiable mappings dependent on both state and control variables. Developing the method of… Expand
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