Global Stability of Complex-Valued Neural Networks on Time Scales

Differential Equations and Dynamical Systems

Volumn 19, Issue 1-2, 2011, Pages 3-11

  Bohner, Martin ^a   Sree Hari Rao, V ^a   Sanyal, Suman ^b  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

^b MARSHALL UNIVERSITY   (United States)

Author keywords

globally exponentially stable; Complex valued neural networks; Time scales

Indexed keywords

EID: 84859707632     PISSN: 09713514     EISSN: 09746870     Source Type: Journal    
DOI: 10.1007/s12591-010-0076-9     Document Type: Article

References (11)

1. Bohner M., Hering R.: Perturbations of dynamic equations. J. Differ. Equ. Appl. 8(4), 295-305 (2002) (In honor of Professor Lynn Erbe).
2. Bohner M., Martynyuk A. A.: Elements of stability theory of A. M. Liapunov for dynamic equations on time scales. Prikl. Mekh. 43(9), 3-27 (2007) (in Russian).
3. Bohner M., Peterson A.: Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser, Boston (2001).
4. Bohner M., Peterson A.: Advances in Dynamic Equations on Time Scales. Birkhäuser, Boston (2003).
5. DaCunha J. J.: Stability for time varying linear dynamic systems on time scales. J. Comput. Appl. Math. 176(2), 381-410 (2005).
6. Hirose, A. (ed.): Complex-Valued Neural Networks, vol. 5 of Series on Innovative Intelligence. Theories and applications. World Scientific Publishing Co. Inc., River Edge, NJ (2003).
7. Kawata, S., Hirose, A.: Coherent lightwave neural network systems: use of frequency domain. In: Complex-Valued Neural Networks, vol. 5 of Series on Innovative Intelligence, pp. 331-356. World Scientific Publishing, River Edge, NJ (2003).
8. Lee, D.-L.: Complex-valued neural associative memories: network stability and learning algorithm. In: Complex-Valued Neural Networks, vol. 5 of Series on Innovative Intelligence, pp. 29-55. World Scientific Publishing, River Edge, NJ (2003).
9. Nitta T.: Solving the XOR problem and the detection of symmetry using a single complex-valued neuron. Neural Netw. 16(8), 1101-1105 (2003).
10. Sree Hari Rao V., Murthy G. R.: Global dynamics of a class of complex valued neural networks. Int. J. Neural Syst. 18(2), 165-171 (2008).
11. Suksmono, A. B., Hirose, A.: Adaptive interferometric radar image processing by using complex-valued neural network. In: Complex-Valued Neural Networks, vol. 5 of Series on Innovative Intelligence, pp. 277-301. World Scientific Publishing, River Edge, NJ (2003).