[1] E. Berkson:
Some metrics on the subspaces of a Banach space. Pacific J. Math. 13 (1963), 7-22.
MR 0152869
[2] C. I. Byrnes, T. E. Duncan:
On certain topological invariants arising in system theory. In: New Directions in Applied Mathematics, Springer, New York 1982, pp. 29-71.
MR 0661283 |
Zbl 0483.93049
[3] J. de Does H. Glüsing-Lüerssen, J. M. Schumacher: Connectedness properties of spaces of linear systems. In: Proc. SINS '92 International Symposium on Implicit and Nonlinear Systems (Ft. Worth, Texas, Dec. 14-15, 1992), (F. L. Lewis, ed.), ARRI, Univ. Texas at Arlington, pp. 210-215.
[4] I. C. Gohberg, M. G. Krein:
Introduction to the Theory of Linear Nonselfadjoint Operators. Transl. Math. Monogr. 18, Amer. Math. Soc, Providence, RI 1969.
MR 0246142 |
Zbl 0181.13504
[5] C. Foias T. T. Georgiou, M. C. Smith:
Robust stabilization in the gap metric: a geometric approach. Proc. 1991 International Symposium on the Mathematical Theory of Networks and Systems, Kobe, Japan, June 1991.
MR 1197941
[6] C. Martin, R. Hermann:
Applications of algebraic geometry to systems theory: The McMillan degree and Kronecker indices of transfer functions as topological and holomorphic system invariants. SIAM J. Control Optim. 16 (1978), 743-755.
MR 0527294 |
Zbl 0401.93020
[7] T. Kato:
Perturbation Theory for Linear Operators. Springer, New York 1982.
Zbl 0493.47008
[8] P. D. Lax:
Translation invariant subspaces. Acta Math. 101 (1959), 163-178.
MR 0105620
[9] N. K. Nikol'skiĭ:
Treatise on the Shift Operator. Springer, Berlin 1986.
MR 0827223
[10] R. J. Ober, J. A. Sefton:
Stability of control systems and graphs of linear systems. Systems Control Lett. 17 (1991), 265-280.
MR 1129217 |
Zbl 0747.93062
[11] L. Qiu, E. J. Davison:
Pointwise gap metrics on transfer matrices. IEEE Trans. Automat. Control 37 (1992), 741-758.
MR 1164546 |
Zbl 0755.93067
[12] L. Qiu, E. J. Davison:
Feedback stability under simultaneous gap metric uncertainties in plant and controller. Systems Control Lett. 18 (1992), 9-22.
MR 1146910 |
Zbl 0743.93083
[13] J. M. Schumacher:
A pointwise criterion for controller robustness. Systems Control Lett. 18 (1992), 1-8.
MR 1146909 |
Zbl 0743.93080
[14] M. Vidyasagar:
Control System Synthesis: a Factorization Approach. MIT Press, Cambridge, MA 1985.
MR 0787045 |
Zbl 0655.93001
[15] S. Weiland: Theory of Approximation and Disturbance Attenuation for Linear Systems. Doctoral Dissertation, University of Groningen 1991.
[16] J. C. Willems:
Input-output and state-space representations of finite-dimensional linear time-invariant systems. Linear Algebra Appl. 50 (1983), 581-608.
MR 0699576 |
Zbl 0507.93017
[17] J. C. Willems:
Paradigms and puzzles in the theory of dynamical systems. IEEE Trans. Automat. Control 36 (1991), 259-294.
MR 1092818 |
Zbl 0737.93004
[18] G. Zames, A. K. El-Sakkary: Unstable systems and feedback: The gap metric. In: Proc. Allerton Conf. (1980), pp. 380-385.
[19] S. Q. Zhu:
Graph topology and gap topology for unstable systems. IEEE Trans. Automat. Control 34 (1989), 848-855.
MR 1004302 |
Zbl 0697.93030