✦ LIBER ✦

Shape optimization of control problems described by elliptic equations

✍ Scribed by A. Nowakowski

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 131 KB
Volume: 63
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.02.040

No coin nor oath required. For personal study only.

✦ Synopsis

The control problem with multidimensional integral functional under elliptic-type constraints for state and control is considered. Next, a type of deformation with control of the domain is described and then we define a suitable shape functional. Having defined trajectory and control of deformation, dual dynamic programming tools are applied to derive optimality condition for the shape functional with respect to deformation.

📜 SIMILAR VOLUMES

Optimal control problems governed by non

Optimal control problems governed by non-well-posed semilinear elliptic equation

✍ Gengsheng Wang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 149 KB

(H 2 ) There exist c 1 ¿ 0, c 2 ∈ [0; 1) such that 0 6 f(x; t) 6 c 1 t p-1 + c 2 t for all x ∈ , t ¿ 0, where 2 ¡ p ¡ 2n=(n -2).

Stability of elliptic optimal control pr

Stability of elliptic optimal control problems

✍ S. Walczak; U. Ledzewicz; H. Schättler 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 567 KB

We consider optimal control problems governed by elliptic equations depending on parameters and give sufficient conditions for the continuous dependence of the solutions on the parameters. The techniques are based on variational methods. (~) 2001 Elsevier Science Ltd. All rights reserved.

Discretization of nonlinear elliptic opt

Discretization of nonlinear elliptic optimal control problems

✍ I. Chryssoverghi; B. Kokkinis 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 282 KB

Optimal control governed by a semilinear

Optimal control governed by a semilinear elliptic differential equation

✍ Gengsheng Wang; Yongcheng Zhao; Weide Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Optimal control problem for an elliptic

Optimal control problem for an elliptic equation which has exactly two solutions

✍ Shu Luan; Hang Gao; Xiaopei Li 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB

Direct optimization of dynamic systems d

Direct optimization of dynamic systems described by differential-algebraic equations

✍ Brian C. Fabien 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB

## Abstract This paper presents a method for the optimization of dynamic systems described by index‐1 differential‐algebraic equations (DAE). The class of problems addressed include optimal control problems and parameter identification problems. Here, the controls are parameterized using piecewise