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Quadratic characterization and use of output stabilizable subspaces

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3 Author(s)

This note treats the problem of stabilization of linear systems by static output feedback using the concept of (C, A, B)-invariant subspaces. The work provides a new characterization of output stabilizable (C, A, B)-invariant subspaces through two coupled quadratic stabilization conditions. An equivalence is shown between the existence of a solution to this set of conditions and the possibility to stabilize the system by static output feedback. An algorithm is provided and numerical examples are reported to illustrate the approach.

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Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 4 )