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Germani, A.; Monaco, S.

Functional output epsilon-controllability for linear systems on Hilbert spaces. (English) Zbl 0507.93014

Syst. Control Lett. 2, 313-320 (1983).
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MSC:

93B05 Controllability
93C05 Linear systems in control theory
93C25 Control/observation systems in abstract spaces
47D03 Groups and semigroups of linear operators
93B03 Attainable sets, reachability
46C99 Inner product spaces and their generalizations, Hilbert spaces

Keywords:

functional output epsilon-controllability; infinite dimensional systems
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References:

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[2] Sain, M. K.; Massey, J. L., Invertibility of linear time-invariant dynamic systems, IEEE Trans. Automat. Control, 14, 141-149 (1968) · Zbl 0169.01501
[3] Rosenbrock, H. H., On linear system theory, (Proc. IEEE, 14 (1967)), 1353-1359 · Zbl 1035.16501
[4] Basile, G.; Marro, G., On the perfect output controllability of linear dynamic systems, Ricerche di Automatica, 2, 1-10 (1971)
[5] Basile, G.; Marro, G., Multi-level functional output controllability, (Int. IEEE Conf. Oaxtepec. Int. IEEE Conf. Oaxtepec, Morelos, Mexico (1971)), January · Zbl 0255.93009
[6] Basile, G.; Hamano, F., On the smoothness of the output trajectories for a linear dynamic system, IEEE Trans. Automat. Control, 27, 196-198 (1982) · Zbl 0471.93007
[7] Hiris, V.; Megan, M., Controllability of linear systems and a boundary value problem, Aequationes Mathematicae, 16, 81-91 (1977) · Zbl 0385.93006
[8] Germani, A.; Monaco, S., Some results on the controllability of perturbed linear systems on Hilbert spaces, Syst. Control Lett., 1, 2, 140-146 (1981) · Zbl 0482.93012
[9] Fattorini, H. O., Some remarks on complete controllability, SIAM J. Control, 4, 4, 686-694 (1966) · Zbl 0168.34906
[10] Balakrishnan, A. V., Applied Functional Analysis (1976), Springer: Springer Berlin-New York · Zbl 0333.93051
[11] Halmos, P. R., A Hilbert Space Problem Book (1967), Van Nostrand: Van Nostrand New York · Zbl 0144.38704
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