On the Γ-stability of systems of differential equations in the Routh-Hurwitz and the Schur-Cohn cases

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 3, Issue 3, 1996, Pages 363-368

  Zahreddine, Ziad ^a  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

Author keywords

Routh Hurwitz Stability; Schur Cohn Stability; Stability Criteria

Indexed keywords

EID: 0030136081     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1105554392     Document Type: Article

References (7)

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2. Krein M. G., Naimark M. A., The Method of Symmetric And Hermitian Forms in The Theory of The Separation of Roots of Algebraic Equations, Linear And Multilinear Alg., vol.10. 265-308, 1981.
3. Levinson N., Redheffer R. M., Complex Variables, McGraw Hill Publishing Company Limited, 1980.
4. Marden M., Geometry of Polynomials, Amer. Math. Soc., 2nd Edition, 1966.
5. Zahreddine Z., Explicit Relationships Between Routh-Hurwitz and Schur-Cohn Types of Stability, Irish Math. Soc. Bull., #29,49-54, Dec. 1992.
6. Zahreddine Z., An Extension of The Routh Array For The Asymptotic Stability of a System of Differential Equations With Complex Coefficients., Applicable Analysis, vol 49, 61-72, 1993.
7. Zahreddine Z., Wide Sense Stability of Complex Systems of Differential Equations of Arbitrary Dimension, Chin. Ann. of Math. 15B :2, 193-204, 1994.