An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems

Applied Mathematics and Computation

Volumn 102, Issue 1, 1999, Pages 35-49

  Li, Weiye ^a   Szidarovszky, Ferenc ^b  

^a University of Arizona   (United States)

^b University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; SPECTRUM ANALYSIS; SYSTEM STABILITY;

TIME-INVARIANT NONLINEAR DYNAMICAL SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032662682     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10013-9     Document Type: Article

References (7)

1. F. Szidarovszky, A.T. Bahill, Linear Systems Theory, CRC Press, Boca Raton, 1992.
2. W. Li, F. Szidarovszky, Y. Kuang, Notes on the stability of dynamic economic systems, submitted.
3. A. Katok, B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, Cambridge, 1997, pp. 242-259.
4. Y. Xu, Introductory Algebra (in Chinese), Shanghai Academic Press of Science and Technology, China, 1966, pp. 546-547.
5. E. Kreyszig, Introductory Functional Analysis with Applications, Wiley, New York, 1978.
6. K. Yosida, Functional Analysis, Springer, Berlin, 1980.
7. J.M. Ortega, W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Serveral Variables, Academic Press, New York, 1970, pp. 42-44.