Shift-Variant m-D Systems and Singularities on Tm: Implications for Robust Stability

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 42, Issue 8, 1995, Pages 477-479

  Yost, Sandra A ^a   Bauer, Peter H ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; ELECTRIC FILTERS; FREQUENCY RESPONSE; PERTURBATION TECHNIQUES; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; VECTORS;

CLOSED UNIT POLYDISK; LINEAR SHIFT INVARIANT MULTIDIMENSIONAL SYSTEMS; OPEN UNIT POLYDISK; ROBUST STABILITY; SHIFT VARYING COEFFICIENT;

LINEAR CONTROL SYSTEMS;

EID: 0029359948     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.404060     Document Type: Article

References (7)

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2. L. M. Roytman, N. Marinovic, and M. N. S. Swamy, “Sufficiency conditions for the stability of a class of 3-D functions with nonessential singularities of the second kind,” IEEE Trans. Circuits Syst., vol. CAS-34, pp. 1253–1255, Oct. 1987.
3. P. H. Bauer, “Finite word-length effects in m-D digital filters with singularities on the stability boundary,” IEEE Trans. Signal Process., vol. 40, pp. 894–900, Apr. 1992.
4. P. H. Bauer, “Robust stability of multi dimensional (m-D) discrete interval systems and applications,” J. Circuits, Syst., Comput., vol. 1, no. 1, pp. 93–104, 1991.
5. S. A. Yost and P. H. Bauer, “Robust stability of multidimensional difference equations with shift-variant coefficients,” Multidimens. Syst. Signal Proc., vol. 5, pp. 455–462, 1994.
6. S. A. Yost, P. H. Bauer, and K. Balemarthy, “On the double bilinear transformation and nonessential singularities of the second kind at infinity,” in Proc. 1994 Int. Symp. Circuits Syst., vol. 5, London, June 1994, pp. 137-140.
7. P. H. Bauer and E. I. Jury, “Boundary techniques for robust stability of time-variant discrete time systems,” in Control and Dynamic Systems-Advances in Theory and Applications, C. T. Leondes, Ed. New York: Academic, 1995.