Domain of attraction of nonlinear discrete systems with delays

Computers and Mathematics with Applications

Volumn 38, Issue 5, 1999, Pages 155-162

  Xu, Daoyi ^a   Li, Shuyong ^a   Pu, Zhiling ^a   Guo, Qingyi ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; VECTORS;

DOMAIN OF ATTRACTION; NONLINEAR DISCRETE SYSTEMS;

NONLINEAR EQUATIONS;

EID: 0033197432     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00222-9     Document Type: Article

References (15)

1. D.D. Siljak, Large-Scale Dynamic System: Stability and Structure, Elsevier North-Holland, New York, (1978).
2. K.M. Sobel, S.S. Band and H.H. Yeh, Robust control for linear systems with structured state space uncertainty, Int. J. Control 50, 1991-2004, (1989).
3. H.S. Han and J.G. Lee, Necessary and sufficient conditions for stability of time-varying discrete interval matrices, Int. J. Control 59, 1021-1029 (1994).
4. V. Lakshmikantham and D. Trigiante, Theory of Difference Equations, Academic Press, New York, (1988).
5. J.P. Lasalle, The Stability of Dynamical Systems, SIAM, Philadelphia, PA, (1976).
6. B. Shi, Z.C. Wang and J.S. Yu, Asymptotic constancy of solutions of linear parabolic Volterra difference equations, Computers Math. Applic. 32 (8), 65-77 (1996).
7. T. Mori, On the relationship between the spectral radius and stability radius for discrete systems, IEEE Trans. Auto. Control 35, 835-836 (1990).
8. L. Wang and Y. Zhang, Stability of nonlinear analytic difference equations, Atca Mathematica Sinica 38, 355-362 (1995).
9. V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Volume I, Academic Press, New York, (1969).
10. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, (1985).
11. D.Y. Xu, Integro-differential equations and delay integral inequalities, Tohoku Math. J. 44, 365-378 (1992).
12. J.K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, (1977).
13. X.Z. Liu and D.Y. Xu, Uniform asymptotic stability of abstract functional differential equations, J. Math. Anal. Appl. 216, 626-643 (1997).
14. D.Y. Xu, The exponential stability in the large of discrete systems, J. Math. Research & Exposition 4, 69-72 (1984).
15. W. Yu, J.E. Piou and K.M. Sobel, Robust eigenstructure assignment for the extended medium range air-to-air missile, Automatica 29, 889-898 (1993).