State-space Parametrizations of Multivariable Linear Systems Using Tridiagonal Matrix Forms 1
نویسنده
چکیده
Tridiagonal parametrizations of linear state-space models are proposed for multivariable system identiication. The parametrizations are surjective, i.e. all systems up to a given order can be described. The parametrization is based on the fact that any real square matrix is similar to a real tridiagonal form as well as a compact tridi-agonal form. These parametrizations has signiicantly fewer parameters compared to a full parametrization of the state-space matrices.
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