Optimal control of the sweeping process over polyhedral controlled sets
DOI10.1016/j.jde.2015.10.039zbMath1334.49070arXiv1506.04662OpenAlexW2615148833MaRDI QIDQ898562
Publication date: 18 December 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.04662
optimal controlnecessary optimality conditionsdifferential inclusionvariational analysisdiscrete approximationsgeneralized differentiationsweeping process
Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Ordinary differential inclusions (34A60) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving relations other than differential equations (49K21)
Related Items (63)
Cites Work
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- On optimal control of a sweeping process coupled with an ordinary differential equation
- Regularity concepts in nonsmooth analysis. Theory and applications
- Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
- Nonsmooth modeling and simulation for switched circuits.
- On the co-derivative of normal cone mappings to inequality systems
- Evolution problem associated with a moving convex set in Hilbert space
- Plasticity. Mathematical theory and numerical analysis
- Sweeping process with regular and nonregular sets.
- Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints
- Pseudo-rigid bodies: a geometric Lagrangian approach
- Polyhedral sweeping processes with oblique reflection in the space of regulated functions
- Nonsmooth analysis of doubly nonlinear evolution equations
- Optimal control of ODE systems involving a rate independent variational inequality
- Discrete approximations of a controlled sweeping process
- Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces
- Differential variational inequalities
- Sweeping process with unbounded nonconvex perturbation
- Degenerate Optimal Control Problems with State Constraints
- Approximation of Rate-Independent Optimal Control Problems
- Optimal control of static plasticity with linear kinematic hardening
- Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
- Optimal Control for Nonconvex Rate-Independent Evolution Processes
- Strongly Regular Generalized Equations
- Some continuity properties of polyhedral multifunctions
- Vector hysteresis models
- Intersection of moving convex sets in a normed space.
- Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
- Variational Analysis
- Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
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