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Controllability of nonlinear delay systems. (English) Zbl 0325.93007


MSC:

93B05 Controllability
93C10 Nonlinear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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References:

[1] Dauer, J. P.,Nonlinear Perturbations of Quasi-Linear Control Systems, Journal of Mathematical Analysis and Applications, Vol. 54, No. 3, 1976. · Zbl 0339.93004
[2] Banks, H. T.,Necessary Conditions for Control Problems with Variable Time Lags, SIAM Journal on Control, Vol. 6, No. 1, 1968. · Zbl 0159.13002
[3] Halanay, A.,Differential Equations: Stability, Oscillations, Time Lags, Academic Press, New York, New York, 1966. · Zbl 0144.08701
[4] Alekal, Y., Brunovsky, P., Chyung, D., andLee, E.,The Quadratic Problem for Systems with Time Delays, IEEE Transactions on Automatic Control, Vol. AC-16, No. 6, 1971.
[5] Kalman, R. E., Ho, Y. C., andNarendra, K. S.,Controllability of Linear Dynamical Systems, Contributions to Differential Equations, Vol. 1, No. 2, 1963. · Zbl 0151.13303
[6] Zmood, R. B.,The Euclidean Space Controllability of Control Systems with Delay, SIAM Journal on Control, Vol. 12, No. 4, 1974. · Zbl 0296.93005
[7] Banks, H. T.,Representations for Solutions of Linear Functional Differential Equations, Journal of Differential Equations, Vol. 5, No. 2, 1969. · Zbl 0165.42701
[8] Hale, J.,Functional Differential Equations, Springer-Verlag, New York, New York, 1971. · Zbl 0222.34003
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