Asymptotic behavior of delay 2-D discrete logistic systems

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

Volumn 49, Issue 11, 2002, Pages 1677-1682

  Liu, Shu Tang ^a,b   Chen, Guanrong ^c  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b SHANDONG UNIVERSITY   (China)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Delay two dimensional (2 D) logistic system; Linearization; Oscillation; Stability

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; DIGITAL FILTERS; DISCRETE TIME CONTROL SYSTEMS; IMAGING SYSTEMS; LINEARIZATION; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

CONVECTION EQUATION; DELAY TWO DIMENSIONAL DISCRETE SYSTEM; OSCILLATION OF SOLUTIONS;

DELAY CONTROL SYSTEMS;

EID: 0036861750     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.804600     Document Type: Article

References (17)

1. B. E. Shi and L. O. Chua, "Resistive grid image filtering: Input/output analysis via the CNN framework," IEEE Trans. Circuits Syst. I, vol. 39, pp. 531-548, July 1992.
2. M. A. C. Maher, S. P. DeWeerth, M. A. Mahowald, and C. A. Mead, "Implementing neural architectures using analog VLSI circuits," IEEE Trans. Circuits Syst., vol. 36, pp. 643-652, May 1989.
3. L. O. Chua and L. Yang, "Cellular neural networks: Applications," IEEE Trans. Circuits Syst., vol. 32, pp. 1273-1290, Oct. 1988.
4. J. L. Aravena, M. Shafiee, and W. A. Porter, "State models and stability for 2-D filters," IEEE Trans. Circuits Syst., vol. CAS-37, pp. 1509-1518, Dec. 1990.
5. J. L. Aravena, "2-D BIBO stability using 1-D wave model," IEEE Trans. Circuits Syst. I, vol. 39, pp. 570-576, July 1992.
6. R. M. Merserau and D. E. Dudgeon, "Two dimensional digital filtering," IEEE Trans. Circuits Syst., vol. 63, pp. 610-623, Apr. 1975.
7. Y. Bistritz, "Stability testing of 2-D discrete linear systems by telepolation of immittance-type tabular test," IEEE Trans. Circuits Syst. I, vol. 48, pp. 840-846, May 2001.
8. K. Galkowskil "Higher order discretization of 2-D systems," IEEE Trans. Circuits Syst. I, vol. 47, pp. 713-722, May 2000.
9. H. Kar and V. Singh, "Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow," IEEE Trans. Circuits Syst. I, vol. 48, pp. 612-617, May 2001.
10. G. E. Antoniou, "Generalized one-multiplier lattice discrete 2-D filters: Minimal circuit and state-space realization," IEEE Trans. Circuits Syst. I, vol. 48, pp. 215-218, Feb. 2001.
11. W. S. Lu, "On a Lyapunov approach to stability analysis of 2-D digital filters," IEEE Trans. Circuits Syst. I, vol. 41, pp. 665-669, Nov. 1999.
12. ____, "On robust stability of 2-D discrete systems," IEEE Trans. Automat. Contr., vol. 40, pp. 502-506, Mar. 1995.
13. J. E. Kurek, "Stability of nonlinear parameter-varying digital 2-D systems," IEEE Trans. Automat. Contr., vol. 40, pp. 1428-1432, Aug. 1995.
14. B. G. Zhang, S. T. Liu and S. S. Cheng, "Oscillation of a class of delay partial difference equation," J. Diff. Equ. Applicat., vol. 1, pp. 215-226, 1995.
15. Y. Z. Lin and S. S. Cheng, "Stability criteria for two partial difference equations," Comput. Math. Appl., vol. 32, no. 7, pp. 87-103, 1996.
16. R. E. Moore, Computational Functional Analysis. London, U.K.: Ellis Harwood, 1985.
17. B. G. Zhang and S. T. Liu, "Oscillation of delay partial difference equation," PanAm. Math. J., vol. 5, no. 2, pp. 61-70, 1995.