Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Constrained retarded nonlinear optimal control problems in Banach state space

Constrained retarded nonlinear optimal control problems in Banach state space Necessary conditions are proved for the optimal control of solutions of ordinary and retarded differential equations in a Banach state space, with mixed and pure state restrictions. The treatment includes the possibility of point targets. A generalization of earlier results for finite-dimensional or Hilbert state spaces is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Constrained retarded nonlinear optimal control problems in Banach state space

Seierstad, A.
Applied Mathematics and Optimization , Volume 34 (2) – Feb 2, 2005
Download PDF
40 pages

Loading next page...
 
/lp/springer-journals/constrained-retarded-nonlinear-optimal-control-problems-in-banach-fSMfjFuyig
Publisher
Springer Journals
Copyright
Copyright © 1996 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01182624
Publisher site
See Article on Publisher Site

Abstract

Necessary conditions are proved for the optimal control of solutions of ordinary and retarded differential equations in a Banach state space, with mixed and pure state restrictions. The treatment includes the possibility of point targets. A generalization of earlier results for finite-dimensional or Hilbert state spaces is obtained.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Feb 2, 2005

References

  • On the necessary conditions for optimal control of retarded systems
    Angell, TS; Kirsch, A
  • Control of functional differential equations of retarded and neutral type to target sets in function space
    Banks, HT; Kent, GA
  • Application of abstract variational theory to hereditary systems—a survey
    Banks, HT; Manitius, A
  • Optimal control of delay systems with a final function condition
    Bien, Z; Chyung, DH
  • Optimization and Nonsmooth Analysis
    Clarke, FH
  • Lecture Notes in Mathematics, Vol. 1313
    Colonius, F
  • Foundations of Modern Analysis
    Dieudonne, J
  • Vector Measures
    Dinculeanu, N
  • Linear Operators
    Dunford, N; Schwartz, JT
  • A unified theory of necessary conditions for nonlinear, nonconvex control systems
    Fattorini, HO
  • When is the maximum principle for state constrained problems non-degenerate?
    Ferreira, MMA; Vinter, RB
  • Mathematical theory of optimal control
    Gabasov, R; Kirillova, FM
  • Calculus of Variations and Optimal Control Theory
    Hestenes, MR
  • Optimal control with mixed control-phase variable equality and inequality contraints
    Makowski, K; Neustadt, L
  • Optimal control of hereditary systems, Control Theory and Topics in Functional Analysis
    Manitius, A
  • On multipliers for Lagrange Problems
    McShane, EJ
  • Optimization. A Theory of Necessary Conditions
    Neustadt, LW
  • On general problems with bounded state variables
    Russak, IB
  • A local attainability property for control systems defined by nonlinear ordinary differential equations in a Banach space
    Seierstad, A
  • An extension to Banach space of Pontryagin's maximum principle
    Seierstad, A
  • Optimal Control Theory with Economic Applications
    Seierstad, A; Sydsæter, K