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Controllability of impulsive hybrid integro-differential systems. (English) Zbl 1163.93011

Summary: We study the sufficient conditions for the complete controllability of hybrid integro-differential control systems.

MSC:

93B05 Controllability
93C23 Control/observation systems governed by functional-differential equations
47H10 Fixed-point theorems
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References:

[1] P.J. Antsaklis, J.A. Stiver, M.D. Lemmon, Hybrid systems modeling and autonomous control systems, in: Grossman et al. (Eds.), 1993, pp. 366-392; P.J. Antsaklis, J.A. Stiver, M.D. Lemmon, Hybrid systems modeling and autonomous control systems, in: Grossman et al. (Eds.), 1993, pp. 366-392
[2] Brocket, R. W., Hybrid models for control systems, (Terentelman, H.; Willems, J., Essay in control (1993), Birkhauser: Birkhauser Boston), 29-53
[3] M.C. Brainicky, On a class of general hybrid dynamical systems, in: IFAC, 13th Triennnnial World Congress, San Francisco, 1996, pp. 287-292; M.C. Brainicky, On a class of general hybrid dynamical systems, in: IFAC, 13th Triennnnial World Congress, San Francisco, 1996, pp. 287-292
[4] Lakshmikantham, V.; Bainov, D. D.; Simeonov, P. S., Theory of Impulsive Differential Equations (1989), World Scientific: World Scientific Singapore · Zbl 0719.34002
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[6] Sivasundaram, S.; Leela, S.; Fausana, S., Controllability of impulsive differential equations, Journal of Mathematical Analysis and Applications, 177, 24-30 (1993) · Zbl 0785.93016
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