대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권1호
  • /
  • Pages.149-159
  • /
  • 2006
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS

  • Murty M.S.N. (DEPARTMENT OF APPLIED MATHEMATICS, ACHARYA NAGARJUNA UNIVERSITY) ;
  • Rao B.V. Appa (DEPARTMENT OF APPLIED MATHEMATICS, ACHARYA NAGARJUNA UNIVERSITY) ;
  • Kumar G. Suresh (DEPARTMENT OF APPLIED MATHEMATICS, ACHARYA NAGARJUNA UNIVERSITY)
  • 발행 : 2006.02.01
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초록

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

키워드

참고문헌

  1. Graham. Alexander, Kronecker products and matrix calculus; with applications, Ellis Horwood Ltd. England, 1981
  2. S. Barnett, Introduction to mathematical control theory, Clarenton Press, Oxford, 1975
  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

피인용 문헌

  1. On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations vol.54, pp.1, 2016, https://doi.org/10.1515/awutm-2016-0006
  2. On Ψ-instability of non-linear matrix Lyapunov systems vol.42, pp.4, 2009, https://doi.org/10.1515/dema-2013-0211
  3. On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations vol.53, pp.2, 2015, https://doi.org/10.1515/awutm-2015-0013
  4. On Observability of Fuzzy Dynamical Matrix Lyapunov Systems vol.48, pp.3, 2008, https://doi.org/10.5666/KMJ.2008.48.3.473
  5. Controllability of impulsive matrix Lyapunov systems vol.254, 2015, https://doi.org/10.1016/j.amc.2014.12.134
  6. On Ψ-boundedness and Ψ-stability of matrix Lyapunov systems vol.26, pp.1-2, 2008, https://doi.org/10.1007/s12190-007-0007-2
  7. On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems vol.2008, 2008, https://doi.org/10.1155/2008/421525