Chitkara University Publications

Controllability and Observability of Kronecker Product Sylvester System on Time Scales


The main objective in this paper is to present the necessary and sufficient conditions for complete controllability, complete observability associated with kronecker product Sylvester system on time scales.
2000 Mathematics Subject Classification: 93B05,93B07,49K15.


  • B V Appa Rao, K.L. University
  • K A S N V Prasad, India Krishna University, Nuzvid
  • Rachel Kezia, K.L. University



Sylvester system, Kronecker product, controllability and observability


M. Bhoner. and A. Peterson, Dynamic equations on time scales, Birkhauser, Boston, 2001.

S. Barnett, R.G. Camron, Introduction to Mathematical Control Theory. 2nd edition. Oxford University Press, 1985.

A. Graham: Kronecker Products and Matrix Calculus; With Applications, Ellis Horwood Ltd. England (1981).

V. Lakshmikantham, S. Sivasundaram, B. Kaymakelan. Dynamic systems on measure Chains-Kluwer academic publishers, 1996.

V. Lakshmikantam, S.G. Deo: Method of variation of parameters for Dynamical systems, Gordan and Breach Scientific Publishers, 1998.

K.N. Murty, Y.S. Rao. Two point boundary value problems on inhomogeneous timescale dynamical process J. of Mathematical Analysis and Applications 1994 (184) pp. 22–34.

M.S.N. Murty, B.V. Appa Rao. Controllability and observability of Matrix Lyapunov systems, Ranchi Univ. Math. Journal Vol. No. 32, pp. 55–65 (2005).

M.S.N. Murty, B.V. Appa Rao, Two point boundary value problems for X’=AX+XB, Journal of ultra scientist of Phy. Sci (16) No.2 pp. 223–227 (2004)



0 0 votes
Article Rating
Notify of
Inline Feedbacks
View all comments
CHITKARA UNIVERSITY ADMINISTRATIVE OFFICE SARASWATI KENDRA, PO Box No. 70 SCO – 160-161,Sector – 9C, Chandigarh – 160009, India. +91-172-2741000, +91-172-4691800

    Would love your thoughts, please comment.x