Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces

@article{Ahmed2003ExistenceOO,
  title={Existence of Optimal Controls for a General Class of Impulsive Systems on Banach Spaces},
  author={N. U. Ahmed},
  journal={SIAM J. Control and Optimization},
  year={2003},
  volume={42},
  pages={669-685}
}
This paper presents some results on the question of existence of optimal controls for a large class of semilinear impulsive systems in infinite dimensional spaces with admissible controls from the space of vector measures. This also includes, as a special case, the class of purely impulsive controls. Two physical examples are presented for illustration. 
Highly Cited
This paper has 39 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
25 Citations
16 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 25 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 16 references

Vector Measures, Math. Surveys Monogr

  • J. Diestel, J. J. Uhl, Jr.
  • OPTIMAL CONTROLS FOR A CLASS OF IMPULSIVE
  • 1977
Highly Influential
4 Excerpts

Necessary conditions of optimality for impulsive systems on Banach spaces

  • N. U. Ahmed
  • Nonlinear Anal.,
  • 2002
3 Excerpts

Impulsive Control Theory, Springer-Verlag, Berlin

  • T. Yang
  • 2001
1 Excerpt

Some remarks on the dynamics of impulsive systems in Banach spaces, Dyn

  • N. U. Ahmed
  • Contin. Discrete Impuls. Syst. Ser. A Math. Anal…
  • 2001
3 Excerpts

State dependent vector measures as feedback controls for impulsive systems in Banach spaces, Dyn

  • N. U. Ahmed
  • Contin. Discrete Impuls. Syst. Ser. B Appl…
  • 2001
3 Excerpts

Existence of a global solution for an impulsive semi linear parabolic equation and its asymptotic behavior

  • K. Nakagawa
  • Commun. Appl. Anal.,
  • 2000
1 Excerpt

Optimal impulse control for impulsive systems in Banach spaces, Int

  • N. U. Ahmed
  • J. Differ. Equ. Appl.,
  • 2000
1 Excerpt

The global solutions of impulsive functional differential equations in Banach spaces

  • X. Fu, B. Yan
  • Nonlinear Stud.,
  • 2000
1 Excerpt

Vector measures for optimal control of impulsive systems in Banach spaces

  • N. U. Ahmed
  • Nonlinear Funct. Anal. Appl.,
  • 2000
6 Excerpts

Similar Papers

Loading similar papers…