On Stability of M-stationary Points in MPCCs |
| |
Authors: | Michal Červinka Jiří V Outrata Miroslav Pištěk |
| |
Institution: | 1. Institute of Information Theory and Automation, Pod Vodárenskou vě?í 4, CZ-182 08, Prague 8, Czech Republic 2. Faculty of Social Sciences, Charles University in Prague, Smetanovo náb?e?í 6 , CZ-110 01, Prague 1, Czech Republic 3. Centre for Informatics and Applied Optimization, Federation University, P.O.Box 663, Ballarat, VIC3353, Australia
|
| |
Abstract: | We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to \(\mathbb {R}^{n}_{+}\) . |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|