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geometric approach; linear systems; self-bounded controlled invariant subspaces; measurable signal decoupling; non-left-invertible systems

References:

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[2] Basile G., Marro G.: **Self-bounded controlled invariant subspaces: a straightforward approach to constrained controllability**. J. Optim. Theory Appl. 38 (1982), 1, 71–81 DOI 10.1007/BF00934323 | MR 0687139 | Zbl 0471.93008

[3] Basile G., Marro G.: **Controlled and Conditioned Invariants in Linear System Theory**. Prentice Hall, Englewood Cliffs, NJ 1992 MR 1149379 | Zbl 0758.93002

[4] Basile G., Marro, G., Piazzi A.: **A new solution to the disturbance localization problem with stability and its dual**. In: Proc. ’84 Internat. AMSE Conference on Modelling and Simulation, Athens 1984, Vol. 1.2, pp. 19–27

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[7] Piazzi A.: **A new solution to the regulator problem with output stability**. IEEE Trans. Automat. Control AC-31 (1986), 4, 341–342 DOI 10.1109/TAC.1986.1104260

[8] Schumacher J. M.: **On a conjecture of Basile and Marro**. J. Optim. Theory Appl. 41 (1983), 2, 371–376 MR 0720781 | Zbl 0517.93009

[9] Wonham W. M.: **Linear Multivariable Control: A Geometric Approach**. Third edition. Springer–Verlag, New York 1985 MR 0770574 | Zbl 0609.93001

[10] Wonham W. M., Morse A. S.: **Decoupling and pole assignment in linear multivariable systems: a geometric approach**. SIAM J. Control 8 (1970), 1, 1–18 DOI 10.1137/0308001 | MR 0270771 | Zbl 0206.16404