Balanced Model Reduction of Linear Time-varying Systems
نویسندگان
چکیده
This paper treats model reduction of linear time-varying models in continuous time. The method proposed is based on time-varying Lyapunov inequalities and balancing of Gramians. An error bound for truncated models that generalizes the well-known ’twicethe-sum-of-the-tail’-formulafor time-invariant balanced systems is obtained. Input-output stability of truncated balanced models is also proved.
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