𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A nonsmooth Newton’s method for control-state constrained optimal control problems

✍ Scribed by Matthias Gerdts


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
487 KB
Volume
79
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Semi-smooth Newton methods for state-con
✍ Kazufumi Ito; Karl Kunisch 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 238 KB

A regularized optimality system for state-constrained optimal control problems is introduced and semi-smooth Newton methods for its solution are analyzed. Convergence of the regularized problems is proved. Numerical tests conÿrm the theoretical results and demonstrate the e ciency of the proposed me

Legendre wavelets method for constrained
✍ Mohsen Razzaghi; Sohrabali Yousefi 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB

## Abstract A numerical method for solving non‐linear optimal control problems with inequality constraints is presented in this paper. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelets are first presented. The operational matrix of integration and the Gau

Optimality Conditions and Duality Models
✍ G.J. Zalmai 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 392 KB

Both parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonsmooth constrained optimal control problems with fractional objective functions and linear dynamics. Moreover, using the forms and contents of these optimality principles, four parametr

A semi-smooth Newton method for control
✍ J.C. de los Reyes; K. Kunisch 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 604 KB

In this paper we study optimal control of the Navier-Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in the control space H 1/2 00 , the optimality system and second order sufficient optimality conditions are derived. Fo

A canonical structure for constrained op
✍ Jie Chen; Guoxiang Gu; Carl N. Nett; Dapeng Xiong 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 900 KB

We consider a general class of optimal control problems with regional pole and controller structure constraints. Our goal is to show that for a fairly general class of regional pole and controller structure constraints, such constrained optimal control problems can be transformed to a new one with a