Abstract
We present numerical methods for determining the stability or instability of autonomous linear functional differential equations. These are based on some qualitative properties of analytic mappings and the ability to use standard mathematical packages to evaluate transcendental functions and approximate complex integrals.
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Cruz, M. A. and Hale, J. K. (1969) Asymptotic behavior of neutral functional differential equations. Arch. Rat. Mech. Anal. 34, 331–53.
Datko, R. (1974) Neutral autonomous functional equations with quadratic cost. SIAM J. Control 12, 70–81.
Datko, R. (1995) Some numerical methods for studying stability of linear delay systems. To appear.
Hale, J. K. and Lunel, S. M. V. (1993) Introduction to Functional Differential Equations. Springer-Verlag, New York.
Henry, D. (1974) Linear autonomous neural functional differential equation. J. Diff. Eqs., 15, 106–28.
Hille, E. (1973) Analytic Function Theory, Vol. 2, Chelsea, New York.
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© 1996 Springer Science+Business Media Dordrecht
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Datko, R. (1996). A frequency method for H ∞ operators. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_8
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DOI: https://doi.org/10.1007/978-0-387-34922-0_8
Publisher Name: Springer, Boston, MA
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