Singular Normal Extremals and Conjugate Points for Bolza Functionals

被引：0
|
作者：
M. Popescu
机构：
[1] Caius Iacob Institute of Applied Mathematics,Department of Dynamical Systems
[2] Romanian Academy of Sciences,undefined
来源：
Journal of Optimization Theory and Applications | 2002年 / 115卷
关键词：
Second variation; Moore–Penrose generalized inverse; conjugate points; singular extremals; abnormal arcs;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the problem of the optimal control for Bolza functionals by investigating extremals containing singular arcs. We use the Moore–Penrose generalized inverse, which allows one to determine normality criteria and sufficient conditions for the nonexistence of conjugate points.
引用
收藏
页码：267 / 282
页数：15
相关论文
共 50 条
  • [31] Conjugate and cut points in ideal fluid motion
    Theodore D. Drivas
    Gerard Misiołek
    Bin Shi
    Tsuyoshi Yoneda
    Annales mathématiques du Québec, 2022, 46 : 207 - 225
  • [32] A conjugate points theory for a nonlinear programming problem
    Kawasaki, H
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) : 54 - 63
  • [33] On conjugate points and the Leitmann equivalent problem approach
    Wagener, F. O. O.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (03) : 1266 - 1276
  • [34] Conjugate and cut points in ideal fluid motion
    Drivas, Theodore D.
    Misiolek, Gerard
    Shi, Bin
    Yoneda, Tsuyoshi
    ANNALES MATHEMATIQUES DU QUEBEC, 2022, 46 (01): : 207 - 225
  • [35] ON FUNCTIONS STARLIKE WITH RESPECT TO n-PLY SYMMETRIC, CONJUGATE AND SYMMETRIC CONJUGATE POINTS
    Malik, Somya
    Ravichandran, Vaithiyanathan
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (04): : 1025 - 1039
  • [36] Conjugate points in Dμs (S2)
    Benn, J.
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 170
  • [37] Validated Spectral Stability via Conjugate Points\ast
    Beck, Margaret
    Jaquette, Jonathan
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2022, 21 (01): : 366 - 404
  • [38] Conjugate points and closed geodesic arcs on convex surfaces
    Zamfirescu, T
    GEOMETRIAE DEDICATA, 1996, 62 (01) : 99 - 105
  • [39] Monitoring of GPS PWV Variability at Bipolar Conjugate Points
    Suparta, W.
    Bakar, F. N. A.
    Abdullah, M.
    Sato, N.
    Kadokura, A.
    Bjornsson, G.
    2009 INTERNATIONAL CONFERENCE ON SPACE SCIENCE AND COMMUNICATION, 2009, : 205 - +
  • [40] Asymptotically Euclidean Metrics Without Conjugate Points are Flat
    Colin Guillarmou
    Marco Mazzucchelli
    Leo Tzou
    The Journal of Geometric Analysis, 2023, 33
12345