An on-line identification scheme for shear building models using recursive least squares with a matrix parameterized model is presented. Based on Gershgorin circles and tridiagonal matrices properties, the identified model stability is guaranteed in the presence of low excitation or low damping. Stability of the model helps in the design of more robust control laws. The scheme is evaluated in an experimental test-bed with a scaled five stories building where an on-line reduced order model is derived. Results indicate that when employing this matrix parametrization, a significant reduction in the number of calculations involved is achieved, when compared to the standard vector parametrization based schemes, such that real-time applications are feasible to implement. Moreover, the stability on the identified model is preserved.

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