CONTROLLABILITY OF STOCHASTIC VOLTERRA INTEGRODIFFERENTIAL SYSTEMS

  • Subramaniam, R. (Department of Mathematics, Bharathiar University) ;
  • Balachandran, K. (Department of Mathematics, Bharathiar University)
  • 발행 : 2002.05.01

초록

In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory.

키워드

참고문헌

  1. J. Optimiz. Theory Appl. v.53 Controllability of nonlinear systems via fixed point theorems K.Balachandran;J.P.Dauer
  2. J. Optimiz. Theory Appl. v.84 Controllability of nonlinear integrodifferential systems in Banach space K.Balachandran;J.P.Dauer;P.Balasubramaniam
  3. Stochastic Control by Functional Analysis Methods A.Bensousson
  4. Rev. Roum. Math. et Appl. v.22 On the existence of random solutions of some random integral equations A.T.Bharucha-Reid;A.Mukherjea;N.A.Tserpes
  5. Infinite Dimensional Linear Systems Theory R.F.Curtain;A.J.Pritchard
  6. Dynamic Systems Appl. v.3 Autonomous semilinear stochastic Volterra integral differential equations in Hilbert spaces T.E.Govindon
  7. J. Ramanujan Math. Soc. v.10 Semigroup theoretic approach to quasilinear stochastic hyperbolic Ito integrodifferential equations T.E.Govindon
  8. Stoch. Anal. Appl. v.8 Local stability of a feed back system - deterministic and random M.C.Joshi;T.E.Govindan
  9. Probabilistic Analysis and Related Topics v.Ⅰ Random integrodifferential equations D.Kannan;A.T.Bharucha-Reid(ed.)
  10. Annali di math. pura ed appl.(Ⅳ) v.CX On a nonlinear stochastic integral equation with application to control systems M.N.Manougian;A.N.V.Rao;C.P.Tsokos
  11. Automatica v.23 Stochastic controllability of linear systems with Markovian jumps M.Mariton
  12. Annali di Math pura ed appl.(Ⅳ) v.CLXⅡ On existence and asymptotic behaviour of solutions of a nonlinear stochastic integral equation D.Szynal;S.Wedrychowicz