On a conjecture of Basile and Marro. (English) Zbl 0517.93009


93B05 Controllability
37C80 Symmetries, equivariant dynamical systems (MSC2010)
93C05 Linear systems in control theory
93B25 Algebraic methods
93C99 Model systems in control theory
93D15 Stabilization of systems by feedback
Full Text: DOI


[1] Basile, G., andMarro, G.,Self-Bounded Controlled Invariant Subspaces: A Straightforward Approach to Constrained Controllability, Journal of Optimization Theory and Applications, Vol. 38, pp. 71-81, 1982. · Zbl 0471.93008 · doi:10.1007/BF00934323
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[5] Fuhrmann, P. A.,Duality in Polynomial Models with Some Applications to Geometric Control Theory, IEEE Transactions on Automatic Control, Vol. AC-26, pp. 284-295, 1981. · Zbl 0459.93032 · doi:10.1109/TAC.1981.1102570
[6] Wonham, W. M.,Linear Multivariable Control: a Geometric Approach, Springer-Verlag, New York, New York, 1979. · Zbl 0424.93001
[7] Schumacher, J. M.,Dynamic Feedback in Finite- and Infinite-Dimensional Linear Systems, Mathematical Centre, Amsterdam, Holland, 1981. · Zbl 0474.93003
[8] Schumacher, J. M.,Regulator Synthesis Using (C, A, B)-Pairs, IEEE Transactions on automatic Control, Vol. AC-27, pp. 1211-1221, 1982. · Zbl 0498.93031 · doi:10.1109/TAC.1982.1103097
[9] Schumacher, J. M.,Compensator Synthesis Using (C, A, B)-Pairs, IEEE Transactions on Automatic Control, Vol. AC-25, pp. 1133-1138, 1980. · Zbl 0483.93035 · doi:10.1109/TAC.1980.1102515
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