DOI QR코드

DOI QR Code

CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS

  • Murty M.S.N. ;
  • Rao B.V. Appa ;
  • Kumar G. Suresh
  • Published : 2006.02.01

Abstract

This paper presents necessary and sufficient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.

Keywords

controllability;observability and realizability;Lyapunov systems and transition matrix

References

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  3. R. Bellman, Introduction to the mathematical theory of control processes, Mathe- matics in Science and Engineering Vol. 40, Academic press, New York, 1967
  4. R. H. Cole, The theory of ordinary differential equations, Appleton-Century-Crofts Meredith Corp., New York, 1968
  5. M. S. N. Murthy and B. V. Apparao, Kronecker product boundary value problems- existence and uniqueness, J. Indian Acad. Math. 25 (2003), no. 2, 383-394

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