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such that, if the state of the system is initially in the subspace, it is possible to control the system so that the state is in the subspace at all times. This concept was introduced by
Giuseppe Basile and Giovanni Marro
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Ghosh, Bijoy K. (1985), "Controlled invariant and feedback controlled invariant subspaces in the design of a generalized dynamical system",
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Basile, Giuseppe; Marro, Giovanni (1969), "Controlled and conditioned invariant subspaces in linear system theory",
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178:{\displaystyle {\dot {\mathbf {x} }}(t)=A\mathbf {x} (t)+B\mathbf {u} (t).}
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Consider a linear system described by the differential equation
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Proceedings of the 24th IEEE Conference on
Decision and Control
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is a controlled invariant subspace, then there exists a matrix
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Controlled and
Conditioned Invariants in Linear System Theory
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410:Basile, Giuseppe; Marro, Giovanni (1992),
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389:, IEEE, pp. 872–873,
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89:Basile & Marro 1969
35:, as no other articles
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