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Controllability and Observability of Sylvester Matrix Dynamical Systems on Time Scales

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In this paper, we obtain solution for the first order matrix dynamical systemand also we provide set of necessary and sufficient conditions for complete controllabilityand complete observability of the Sylvester matrix dynamical system.

Abstract

In this paper, we obtain solution for the first order matrix dynamical systemand also we provide set of necessary and sufficient conditions for complete controllabilityand complete observability of the Sylvester matrix dynamical system.

참고문헌 (11)

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  3. M. Bhoner, "Advances in Dynamic equations on time scales" (2003), Birkhauser
  4. M. Davis John, "Controllability, observability, realizability and stability of dynamic linear systems", Electronic journal of differential equations, 2009(37), pp.1~32 (2009)
  5. L. V. Fausett, "On Sylvester matrix differential equations, Analytical and numerical solutions", International Journal of Pure and Applied Mathematics, 53(1), pp.55~68 (2009)
  6. S. Hilger, "Analysis on measure chains a unified approach to continuous and discrete calculus", Results Math., 18, pp.18~56 (1990)
  7. Y. C. Ho, "Controllability of linear dynamical systems", Contributions to Differential Equations, pp.189~213 (1963)
  8. V. Lakshmikantam, "Method of variation of parameters for Dynamical systems" (1998), Gordan and Breach Scientific Publishers
  9. M. S. N. Murty, "Controllability and observability of Matrix Lyapunov systems", Ranchi Univ. Math. Journal, 32, pp.55~65 (2005)
  10. K. N. Murty, "First order difference system-existence and uniqueness", Proceedings of the American Mathematical Society, 125(12), pp.3533~3539 (1997)
  11. N. Ramesh babu, "Control of time scale dynamical systems with an application to concurrency control for real time data base systems", Electronic Modeling, 32(3), pp.83~93 (2010)

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