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A Stability Criterion for Linear Functional-Differential Equations and Its Practical Implementation

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REFERENCES

  1. Krasovskii, N.N., Nekotorye zadachi teorii ustoichivosti dvizheniya(Some Problems of Motion Stability Theory), Moscow, 1956.

  2. Kolmanovskii, V.B. and Myshkis, A.D., Applied Theory of Functional Differential Equations, Kluwer Academic Publishers, 1992.

  3. Hale, J.K. and Verduyn Lunel, S.M., Introduction to Functional Differential Equations, Springer-Verlag, 1991.

  4. Chukwu, E.N., Stability and Time-Optimal Control of Hereditary Systems, Academic Press, 1992

  5. Kim, A.V., Functional Differential Equations. Application of i-Smooth Calculus, Kluwer Academic Publishers, 1999.

  6. Azbelev, N.V. and Simonov, P.M., Ustoichivost' reshenii s obyknovennymi proizvodnymi(Stability of Solutions with Ordinary Derivatives), Perm, 2001.

  7. Kim, A.V., Kwon, W.H., Pimenov, V.G. et al., Time-Delay System Toolbox(for use with MATLAB), Seoul National University, 2000.

  8. Kim, A.V. and Pimenov, V.G., Numerical Methods for Delay Differential Equations. Application of i-Smooth Calculus, Research Institute of Mathematics: Global Analysis Research Center, Seoul National University, 1999, vol. 44.

  9. Kim, A.V. and Lozhnikov A.B., Stability Analysis and Control. Theory and Applications, 2000, vol. 3, no. 2, pp. 111–116.

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  1. Institute of Mathematics and Mechanics, Russian Academy of Sciences, Yekaterinburg, Russia

    A. V. Kim & A. B. Lozhnikov

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  1. A. V. Kim
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  2. A. B. Lozhnikov
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Kim, A.V., Lozhnikov, A.B. A Stability Criterion for Linear Functional-Differential Equations and Its Practical Implementation. Differential Equations 40, 290–293 (2004). https://doi.org/10.1023/B:DIEQ.0000033720.31196.0e

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  • DOI: https://doi.org/10.1023/B:DIEQ.0000033720.31196.0e

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