  An adaptive state observer is proposed for a class of overparametrized
uncertain linear time-invariant systems without restrictive requirement of
their representation in the observer canonical form. It evolves the method of
generalized parameters estimation-based observer design and, therefore, (i)
does not require to identify Luenberger correction gain parameters, (ii) forms
states using algebraic rather than differential equation. Additionally, the
developed observer is applicable to systems with unknown output matrix and
ensures exponential convergence of unmeasured state observation error under
weak requirement of the regressor finite excitation. The effectiveness of the
proposed solution is supported by simulation results.
