Recursive formulas for the evaluation of certain complex integrals.
Author:
K. J. Ȧström
Journal:
Quart. Appl. Math. 28 (1970), 283-288
MSC:
Primary 65.25
DOI:
https://doi.org/10.1090/qam/272155
MathSciNet review:
272155
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Abstract: This paper presents recursive formulas which admit simultaneous tests of stability and evaluation of quadratic loss functions for linear discrete-time dynamical systems. The method admits a significant reduction of the number of computations in comparison with previously known methods.
K. J. Åström, On the achievable accuracy in identification problems, Paper 1.8 in IFAC Congress on Indentification in Automatic Control Systems, Prague, 1967.
A. Cohn, Über die Anzahl der Wurzeln in einer Kreise, Math. Z. 14, 110–148 (1922)
E. I. Jury, Theory and application of the z-transform method, Wiley, New York, 1964
---, A note on the evaluation of the total square integral, IEEE Trans. Automatic Control 10 110–111 (1965)
- Automatic and remote control, Butterworths, London, 1961. 4 vols; (Title and table of contents in English, French and German). MR 0191672
J. Růžička, Algebraická kritéria stability impulsnich soustav (Algebraic criteria for stability of sampled data systems), Strojnicky Časopis XIII, č5. 395–403.
J. Schur, Über Potenzreihen die im Innern des Einheitskreises beschränkt sind, J. Reine Angew. Math. 147, 205–232 (1917); 148, 122–145 (1918)
K. J. Åström, On the achievable accuracy in identification problems, Paper 1.8 in IFAC Congress on Indentification in Automatic Control Systems, Prague, 1967.
A. Cohn, Über die Anzahl der Wurzeln in einer Kreise, Math. Z. 14, 110–148 (1922)
E. I. Jury, Theory and application of the z-transform method, Wiley, New York, 1964
---, A note on the evaluation of the total square integral, IEEE Trans. Automatic Control 10 110–111 (1965)
J. Nekolný and J. Beneš, “Simultaneous control of stability and quality of adjustment-application of statistical dynamics,” in Coales et al., Automatic and remote Control, Proc. First IFAC Congress, Moscow, 1960, Butterworths, London 1961, Vol. 2, pp. 734–744.
J. Růžička, Algebraická kritéria stability impulsnich soustav (Algebraic criteria for stability of sampled data systems), Strojnicky Časopis XIII, č5. 395–403.
J. Schur, Über Potenzreihen die im Innern des Einheitskreises beschränkt sind, J. Reine Angew. Math. 147, 205–232 (1917); 148, 122–145 (1918)
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Article copyright:
© Copyright 1970
American Mathematical Society
