Opuscula Math. 35, no. 1 (2015), 71-83

Opuscula Mathematica

Controllability of semilinear systems with fixed delay in control

Surendra Kumar
N. Sukavanam

Abstract. In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assumptions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.

Keywords: first order delay system, mild solution, fixed point, exact controllability.

Mathematics Subject Classification: 93B05.

Full text (pdf)

  • Surendra Kumar
  • University of Delhi, Department of Mathematics, Delhi - 110007, India
  • N. Sukavanam
  • Indian Institute of Technology, Roorkee, Department of Mathematics, Roorkee (Uttarakhand) - 247667, India
  • Received: 2013-05-29.
  • Revised: 2014-02-07.
  • Accepted: 2014-03-23.
Opuscula Mathematica - cover

Cite this article as:
Surendra Kumar, N. Sukavanam, Controllability of semilinear systems with fixed delay in control, Opuscula Math. 35, no. 1 (2015), 71-83, http://dx.doi.org/10.7494/OpMath.2015.35.1.71

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.