Elementary Proofs of Some Classical Stability Criteria

IEEE Transactions on Education

Volumn 33, Issue 3, 1990, Pages 232-239

  Chapellat, Hervé ^a   Mansour, Mohamed ^b   Bhattacharyya, Shankar P ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING EDUCATION; MATHEMATICAL TECHNIQUES - POLYNOMIALS; SYSTEM STABILITY - CRITERIA;

HERMITE-BIELER THEOREM;

CONTROL SYSTEMS;

EID: 0025474096     PISSN: 00189359     EISSN: 15579638     Source Type: Journal    
DOI: 10.1109/13.57067     Document Type: Article

References (8)

1. M. Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable. New York: American Mathematical Society, 1949.
2. J. Dieudonné, Elements d’analyse, Tome 1: Fondements de I’analyse moderne. Paris: Gauthier-Villars, Editeur, 1969.
3. F. R. Gantmakher, The Theory of Matrices, Vol. I and II. New York: Chelsea, 1964.
4. E. A. Guillemin, The Mathematics of Circuit Analysis. New York: Wiley, 1949.
5. H. W. Schüssler, IEEE Trans. Acoust. Speech Signal Process., vol. 24, 1976.
6. E. I. Jury, Sampled-Data Control Systems. New York: Wiley, 1958.
7. P. Vaidyanathan, S. K. Mitra, “A unified structural interpretation of some well-known stability test procedures for linear systems,” Proc. IEEE, Apr. 1987.
8. S. Haykin, Adaptive Filter Theory, T. Kailath, Ed. Englewood Cliffs, NJ: 1986.