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Boundary Realizations Method for Interval Linear Dynamic Systems

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Reliable Computing

Abstract

In the paper, the state space realization problem for interval dynamic discrete-time systems is considered. We propose methods for computing algebraic realizations of totally non-negative and totally non-positive systems, and develop their modification applicable for systems of “mixed” type. Numerical examples illustrate our results.

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References

  1. De Schutter, B.: Minimal State-Space Realization in Linear System Theory: An Overview, Journal of Computational and Applied Mathematics 121 (2000), pp. 331–354.

    Google Scholar 

  2. Kalman, R. E., Falb, P. L., and Arbib, M. A.: Topics in Mathematical System Theory, McGraw Hill, New York, 1969.

    Google Scholar 

  3. Kaucher, E.: Interval Analysis in the Extended Interval Space IR, Computing Supplement 2 (1980), pp. 33–49.

    Google Scholar 

  4. Pushkov, S. G.: Finite-Dimensional Realizations of the Impulse Characteristic Based on the Pseudoinversion of the Hankel Matrix, Journal of Computer and System Sciences International 41 (3) (2002), pp. 339–345.

    Google Scholar 

  5. Pushkov, S. G.: On Computing of Finite-Dimensional Realization, Cybernetics and Systems Analysis 6 (1991), pp. 107–112 (in Russian).

    MathSciNet  Google Scholar 

  6. Pushkov, S. G.: On One Approach to the Description of an Observable Process by a Linear Dynamic System, Journal of Computer and System Sciences International 40 (1) (2000), pp. 34–39.

    Google Scholar 

  7. Pushkov, S. G. and Krivoshapko, S. Yu.: On the State Space Realization Problem for Interval Dynamic System, Computational Technologies 9 (1) (2004), pp. 75–85 (in Russian).

    Google Scholar 

  8. Sontag, E.D.: Linear Systems over Commutative Rings: A Survey, Ricerche di Automatica 7 (1976), pp. 1–34.

    Google Scholar 

  9. Willems, J. C.: From Time Series to Linear System, Automatica 22 (5) (1986), pp. 561–580; 22 (6) (1986), pp. 675–694; 23 (1) (1987), pp. 87–115.

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Correspondence to Sergey G. Pushkov.

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Pushkov, S.G., Kalinkina, S.Y. Boundary Realizations Method for Interval Linear Dynamic Systems. Reliable Comput 11, 413–423 (2005). https://doi.org/10.1007/s11155-005-0048-x

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  • DOI: https://doi.org/10.1007/s11155-005-0048-x

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