Null controllability of nonlinear infinite delay systems with time varying multiple delays in control

Applied Mathematics Letters

Volumn 9, Issue 3, 1996, Pages 115-121

  Balachandran, K ^a   Dauer, J P ^b  

^a BHARATHIAR UNIVERSITY   (India)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

Controllability; Delay systems; Nonlinear systems

Indexed keywords

EID: 0041612416     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00042-0     Document Type: Article

References (18)

1. T.A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, New York, (1985).
2. C. Corduneanu, Integral Equations and Applications, Cambridge University Press, Cambridge, (1991).
3. G. Gripenberg, S.O. London and O. Steffans, Volterra Integral and Functional Equations, Cambridge University Press, Cambridge, (1990).
4. V. Lakshmikantham, Theory of Differential Equations with Unbounded Delays, Kluwer Academic Publishers, Dordrecht, (1995).
5. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations in Populations Dynamics, Kluwer Academic Publishers, Dordrecht, (1992).
6. J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht, (1991).
7. E.N. Chukwu, On the null controllability of nonlinear delay systems with restrained controls, Journal of Mathematical Analysis and Applications 76, 283-296 (1980).
8. E.N. Chukwu, Null controllability in function space of nonlinear retarded systems with limited control, Journal of Mathematical Analysis and Applications 103, 198-210 (1984).
9. R.G. Underwood and D.F. Young, Null controllability of nonlinear functional differential equations, SIAM Journal of Control and Optimization 17, 753-772 (1979).
10. E.N. Chukwu, Global null controllability of nonlinear delay equations with controls in a compact set, Journal of Optimization Theory and Applications 53, 43-57 (1987).
11. A.S.C. Sinha, Null-controllability of nonlinear infinite delay systems with restrained controls, International Journal of Control 42, 735-741 (1985).
12. K. Balachandran and J.P. Dauer, Null controllability of nonlinear infinite delay systems with distributed delays in control, Journal of Mathematical Analysis and Applications 145, 274-281 (1990).
13. J.K. Hale, Functional differential equations with infinite delays, Journal of Mathematical Analysis and Applications 48, 276-283 (1974).
14. J. Klamka, Controllability of linear systems with time variable delays in control, International Journal of Control 24, 869-878 (1976).
15. C.M. Dafermos, Asymptotic stability in viscoelasticity, Archive for Rational Mechanics and Analysis 37, 297-306 (1970).
16. T.A. Burton, Neural networks with memory, Journal of Applied Mathematics and Stochastic Analysis 4, 313-332 (1991).
17. E.N. Chukwu, Stability and Time-Optimal Control of Hereditary Systems, Academic Press, New York, (1992).
18. L.V. Kantorovich and G.P. Akilov, Functional Analysis, Pergamon Press, Oxford, (1982).