34
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

A constructive algorithm for stabilization of nonlinear neutral time-delayed systems occurring in bioengineering

, , &
Pages 17-25 | Received 28 Apr 1995, Published online: 16 May 2007

REFERENCES

  • BAHILL , T. A. , and MCDONALD , J. D. , 1981 , Adaptive control model for saccadic and smooth pursuit eye movements. Progress in Oculomotor Research , edited by A. F. Fuchs and W. Becker ( New York Elsevier/North-Holland ).
  • BELLMAN , R. , and COOKE , K. L. , 1963 , Differential Difference Equations ( New York Academic Press ).
  • COOKE , K. L. , 1967 , Functional differential equations some models and perturbation problems. Differential Equations and Dynamical Systems. Proceedings of the International Symposium , University of Puerto Rico ( New York Academic Press ), pp. 167 – 183 .
  • CRUZ , M. A. , and HALE , J. K. , 1971 , Exponential estimates and the saddle point property for neutral functional differential equations. Journal of Mathematical Analysis and Applications , 34 , 267 – 288 .
  • DENO , D. C. , KELLER , E. L. , and CRANDALL , W. F. , 1989 , Dynamical neutral network organization of the visual pursuit system. IEEE Transactions on Biomedical Engineering , 36 85 – 91 .
  • DUNKEL , G. M. , 1968 , Some mathematical models for population growth with lags. Technical note BN–548 , University of Maryland .
  • HALE , J. K. , and MARTINEZ-AMORES , P. , 1977 , Stability in neutral equations. Nonlinear Analysis, Theory, Methods and Applications , 1 , 161 – 173 .
  • HOPPENSTEADT , F. , and WALTMAN , P. , 1970 , A problem in the theory of epidemics. Mathematics in Biosciences , 9 , 71 – 91 .
  • KRASOVSKII , N. N. , 1963 , Stability of Motion ( Stanford University Press ). Translated from the Russian original, 1959, MR 21 .
  • KRAUZLIS , R. J. , and LISBERGER , S. G. , 1989 , A control systems model of smooth pursuit eye movements with realistic convergent properties , Neural Computations , 1 , 116 – 122 .
  • LAKSHMIKANTHAM , V. , and LEELA , S. , 1969 , Differential and Integral Inequalities ( New York Academic Press ).
  • PANDOLFI , L. , 1976 , Stabilization of neutral functional differential equations. Journal of Optimization Theory and Applications , 20 , 191 – 204 .
  • RICKETSON , J. P. , 1991 , A model of smooth pursuit eye movement. M.S.thesis , Purdue University , Indianopolis , U.S.A .
  • ROBINSON , D. A. , GORGON , J. L. , and GORGON , S. E. , 1986 , A model of the smooth pursuit eye movement system. Biological Cybernetics , 55 , 43 – 57 .
  • SINHA , A. S. C. , 1986 , Controllability of nonlinear delay systems. International Journal of Control , 43 , 1305 – 1315 .
  • SINHA , A. S. C. , RICKETSON , J. P. , SUZUKI , D. A. , and ABEL , L. , 1993 , A delay differential model of smooth pursuit eye movements with convergent properties. Proceedings of the 12th World Congress of the International Federation of Automatic Control , Sydney , Australia , July 1993 .
  • THOWSEN , A. , 1981 , The Routh-Hurwitz method for stability determination of linear differential-difference systems. International Journal of Control , 33 , 991 – 995 .
  • YAMADA , T. , and SUZUKI , D. A. , 1992 , Myostimulation evoked pursuit eye movement-implications for a control systems model. Computational Neuroscience Symposium , pp. 173 – 178 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.