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Extension of the $\nu$-metric for stabilizable plants over $H^\infty$
1. | Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, United Kingdom |
References:
[1] |
J. Ball and A. Sasane, Extension of the $\nu$-metric,, preprint, ().
|
[2] |
J. Ball and A. Sasane, Extension of the $\nu$-metric: The $H^\infty$ case,, preprint, ().
|
[3] |
T. tom Dieck, "Algebraic Topology," EMS Textbooks in Mathematics, European Mathematical Society (EMS), Zürich, 2008. |
[4] |
R. Douglas, "Banach Algebra Techniques in Operator Theory," 2nd edition, Graduate Texts in Mathematics, 179, Springer-Verlag, New York, 1998. |
[5] |
J. Garnett, "Bounded Analytic Functions," revised 1st edition, Graduate Texts in Mathematics, 236, Springer, New York, 2007. |
[6] |
Y. Inouye, Parametrization of compensators for linear systems with transfer functions of bounded type, Technical Report 88-01, Faculty of Eng. Sci., Osaka University, Osaka, Japan, March 1988. |
[7] |
K. Mikkola, Weakly coprime factorization and state-feedback stabilization of discrete-time systems, Mathematics of Control, Signals, and Systems, 20 (2008), 321-350.
doi: 10.1007/s00498-008-0034-z. |
[8] |
N. Nikolski, "Treatise on the Shift Operator. Spectral Function Theory," Grundlehren der Mathematischen Wissenschaften, 273, Springer-Verlag, Berlin, 1986. |
[9] |
N. Nikolski, "Operators, Functions, and Systems: An Easy Reading. Vol. 1. Hardy, Hankel, and Toeplitz," Mathematical Surveys and Monographs, 92, American Mathematical Society, Providence, RI, 2002. |
[10] |
W. Rudin, "Functional Analysis," 2nd edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991. |
[11] |
D. Sarason, Toeplitz operators with piecewise quasicontinuous symbols, Indiana University Mathematics Journal, 26 (1977), 817-838.
doi: 10.1512/iumj.1977.26.26066. |
[12] |
M. Smith, On stabilization and the existence of coprime factorizations, in "Realization and Modelling in System Theory" (Amsterdam, 1989), Progr. Systems Control Theory, 3, Birkhäuser Boston, Boston, MA, (1990), 215-222. |
[13] |
G. Vinnicombe, Frequency domain uncertainty and the graph topology, IEEE Transactions on Automatic Control, 38 (1993), 1371-1383.
doi: 10.1109/9.237648. |
show all references
References:
[1] |
J. Ball and A. Sasane, Extension of the $\nu$-metric,, preprint, ().
|
[2] |
J. Ball and A. Sasane, Extension of the $\nu$-metric: The $H^\infty$ case,, preprint, ().
|
[3] |
T. tom Dieck, "Algebraic Topology," EMS Textbooks in Mathematics, European Mathematical Society (EMS), Zürich, 2008. |
[4] |
R. Douglas, "Banach Algebra Techniques in Operator Theory," 2nd edition, Graduate Texts in Mathematics, 179, Springer-Verlag, New York, 1998. |
[5] |
J. Garnett, "Bounded Analytic Functions," revised 1st edition, Graduate Texts in Mathematics, 236, Springer, New York, 2007. |
[6] |
Y. Inouye, Parametrization of compensators for linear systems with transfer functions of bounded type, Technical Report 88-01, Faculty of Eng. Sci., Osaka University, Osaka, Japan, March 1988. |
[7] |
K. Mikkola, Weakly coprime factorization and state-feedback stabilization of discrete-time systems, Mathematics of Control, Signals, and Systems, 20 (2008), 321-350.
doi: 10.1007/s00498-008-0034-z. |
[8] |
N. Nikolski, "Treatise on the Shift Operator. Spectral Function Theory," Grundlehren der Mathematischen Wissenschaften, 273, Springer-Verlag, Berlin, 1986. |
[9] |
N. Nikolski, "Operators, Functions, and Systems: An Easy Reading. Vol. 1. Hardy, Hankel, and Toeplitz," Mathematical Surveys and Monographs, 92, American Mathematical Society, Providence, RI, 2002. |
[10] |
W. Rudin, "Functional Analysis," 2nd edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991. |
[11] |
D. Sarason, Toeplitz operators with piecewise quasicontinuous symbols, Indiana University Mathematics Journal, 26 (1977), 817-838.
doi: 10.1512/iumj.1977.26.26066. |
[12] |
M. Smith, On stabilization and the existence of coprime factorizations, in "Realization and Modelling in System Theory" (Amsterdam, 1989), Progr. Systems Control Theory, 3, Birkhäuser Boston, Boston, MA, (1990), 215-222. |
[13] |
G. Vinnicombe, Frequency domain uncertainty and the graph topology, IEEE Transactions on Automatic Control, 38 (1993), 1371-1383.
doi: 10.1109/9.237648. |
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