Skip to main content
Log in

Boundary controllability of integrodifferential systems in Banach spaces

  • Published:
Proceedings Mathematical Sciences Aims and scope Submit manuscript

Abstract

Sufficient conditions for boundary controllability of integrodifferential systems in Banach spaces are established. The results are obtained by using the strongly continuous semigroup theory and the Banach contraction principle. Examples are provided to illustrate the theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Balachandran K, Balasubramaniam P and Dauer J P, Controllability of nonlinear integrodifferential systems in Banach spaces,J. Optim. Theory Appl. 84 (1995) 83–91

    Article  MATH  MathSciNet  Google Scholar 

  2. Balachandran K, Dauer J P and Balasubramaniam P, Local null controllability of nonlinear functional differential systems in Banach spaces,J. Optim. Theory Appl. 88 (1995) 61–75

    Article  MathSciNet  Google Scholar 

  3. Balakrishnan A V,Applied functional analysis (New York: Springer) (1976)

    MATH  Google Scholar 

  4. Barbu V and Precupanu T,Convexity and optimization in Banach spaces, (New York: Reidel) (1986)

    MATH  Google Scholar 

  5. Barbu V, Boundary control problems with convex cost criterion,SIAM J. Contr. Optim. 18 (1980) 227–243

    Article  MATH  MathSciNet  Google Scholar 

  6. Fattorini H O, Boundary control systems,SIAM J. Contr. Optim. 6 (1968) 349–384

    Article  MATH  MathSciNet  Google Scholar 

  7. Han H K and Park J Y, Boundary controllability of differential equations with nonlocal condition,J. Math. Anal. Appl. 230 (1999) 242–250

    Article  MATH  MathSciNet  Google Scholar 

  8. Lasiecka I, Boundary control of parabolic systems; regularity of solutions,Appl. Math. Optim. 4 (1978) 301–327

    Article  MATH  MathSciNet  Google Scholar 

  9. Lions J L,Optimal control of systems governed by partial differential equations, (Berlin: Springer-Verlag) (1972)

    Google Scholar 

  10. Park J Y and Han H K, Controllability of nonlinear functional integrodifferential systems in Banach space,Nihonkai Math. J. 8 (1997) 47–53

    MATH  MathSciNet  Google Scholar 

  11. Quinn M D and Carmichael N, An approach to nonlinear control problem using fixed point methods, degree theory, pseudo-inverse,Numer. Funct. Anal. Optim. 7 (1984-1985) 197–219

    Article  MATH  MathSciNet  Google Scholar 

  12. Washburn D, A bound on the boundary input map for parabolic equations with application to time optimal control,SIAM J. Contr. Optim. 17 (1979) 652–671

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balachandran, K., Anandhi, E.R. Boundary controllability of integrodifferential systems in Banach spaces. Proc Math Sci 111, 127–135 (2001). https://doi.org/10.1007/BF02829544

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02829544

Keywords

Navigation