Controllability of a class of nonlinear systems with distributed delays in control. (English) Zbl 0528.93012


93B05 Controllability
93C10 Nonlinear systems in control theory
34K35 Control problems for functional-differential equations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
93C99 Model systems in control theory
47H10 Fixed-point theorems
93B03 Attainable sets, reachability
Full Text: EuDML


[1] Z. Artstein: Linear systems with delayed controls - A reduction. IEEE Trans. Automat. Control AC-27 (1982), 4, 869-879. · Zbl 0486.93011
[2] Z. Artstein, G. Tadmor: Linear systems with indirect controls - The underlying measures. SIAM J. Control Optim. 20 (1982), 1, 96-111. · Zbl 0478.49028
[3] H. T. Banks, M. Q. Jacobs: The optimization of trajectories of linear functional differential equations. SIAM J. Control 8 (1970), 4, 461-488. · Zbl 0246.49006
[4] C. Dacka: On the controllability of a class of nonlinear systems. IEEE Trans. Automat. Control AC-25 (1980), 2, 263-266. · Zbl 0439.93006
[5] C. Dacka: Relative controllability of perturbed nonlinear systems with delay in control. IEEE Trans. Automat. Control AC-27 (1982), 1, 268-270. · Zbl 0469.93021
[6] J. Klamka: Relative controllability of nonlinear systems with distributed delays in control. Internat. J. Control 28 (1978), 2, 307-312. · Zbl 0402.93012
[7] J. Klamka: Controllability of nonlinear systems with distributed delay in control. Internat. J. Control 31 (1980), 5, 811-819. · Zbl 0462.93009
[8] A. Manitius: Mathematical Models of Hereditary Systems. Research Report CRM-462, Centre de Recherches Mathematiques, Universit√© de Montreal, Montreal 1974. · Zbl 0288.49004
[9] B. J. Sadovskii: Limit compact and condensing operators. (in Russian). Uspehi Mat. Nauk 27 (1972), 1, 81 - 146, ( · Zbl 0232.47067
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.