TY - THES A1 - Felgenhauer, Ursula T1 - Diskretisierung von Steuerungsproblemen unter stabilen Optimalitätsbedingungen Y1 - 1999 ER - TY - GEN A1 - Felgenhauer, Ursula T1 - Structural Stability Investigation of Bang-Singular-Bang Optimal Controls T2 - Journal of Optimization Theory and Applications N2 - The paper is devoted to parametric optimal control problems with a scalar, partially singular optimal control function. In contrast to the case of pure bang-bang behavior, the investigation of structural stability properties for partially singular controls so far has been rarely addressed in literature. The central result of the paper deals with the case of one first order singular arc under regular concatenation to bang-arcs. Conditions will be provided which ensure the Lipschitz stability of bang-singular junction times positions with respect to small parameter changes. Three examples illustrate the main theorem. KW - Singular control, Strong Legendre condition, Bang-singular-bang control structure, Control stability Y1 - 2012 UR - http://link.springer.com/article/10.1007%2Fs10957-011-9925-0 SN - 0022-3239 VL - 152 IS - 3 SP - 605 EP - 631 ER - TY - CHAP A1 - Felgenhauer, Ursula ED - Fiacco, Anthony V. T1 - Algorithmic stability analysis for certain trust region methods T2 - Mathematical programming with data perturbations, proceedings of the May 1995 seventeenth Symposium on Mathematical Programming with Data Perturbation at George Washington University Y1 - 1998 SN - 0-8247-0059-7 SP - 109 EP - 131 PB - Dekker CY - New York [u.a.] ER - TY - CHAP A1 - Burdakov, Oleg A1 - Felgenhauer, Ursula ED - Henry, Jacques ED - Yvon, Jean-Pierre T1 - Stable multipoint secant methods with released requirements to points position T2 - System modelling and optimization, proceedings of the 16th IFIP-TC7 Conference, Compiègne, France, July 5 - 9 1993 Y1 - 1994 SN - 3-540-19893-8 SP - 225 EP - 236 PB - Springer CY - London ER - TY - GEN A1 - Felgenhauer, Ursula T1 - A Newton-type method and optimality test for problems with bang-singular-bang optimal control T2 - Pure and Applied Functional Analysis N2 - In the paper, a second-order method is investigated for control problems where the control has bang-singular-bang structure. To start with, the first-order system is formulated as a variational inequality including a differential equation for the switching function. For this system, a certain inexact Josephy-Newton method is considered. Under strong second-order sufficient conditions obtained via Goh's transformation of control and state-adjoint data, the local solvability is proved for the iterative problems. For so-called semilinear problems, locally the state and adjoint iterates converge superlinearly. The paper is completed by a Riccati test approach for verifying second-order optimality. KW - Bang-singular-bang control KW - maximum principle KW - Josephy--Newton method KW - second-order conditions KW - Riccati equation Y1 - 2016 UR - http://www.ybook.co.jp/online2/oppafa/vol1/p197.html VL - 1 IS - 2 SP - 197 EP - 215 ER - TY - GEN A1 - Alt, Walter A1 - Felgenhauer, Ursula A1 - Seydenschwanz, Martin T1 - Euler discretization for a class of nonlinear optimal control problems with control appearing linearly T2 - Computational Optimization and Applications Y1 - 2018 U6 - https://doi.org/10.1007/s10589-017-9969-7 SN - 0926-6003 VL - 69 IS - 3 SP - 825 EP - 856 ER -