This paper presents a new approach for model-order reduction of linear time varying system based on expanding the time-varying system in the right half plane of the s-domain. The proposed algorithm is developed through introducing Krylov subspace-based reduction to time-varying transfer functions. The proposed algorithm does not require solution of large system of equations to construct a basis for the time-varying moments. Instead, it computes such a basis through time-domain integration of the corresponding linear time-varying differential algebraic equations. Numerical experiments show that expanding in the right-half plane compresses the transient phase of the response of these equations by several orders of magnitude.

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Conference 2002 Design, Automation and Test in Europe Conference and Exhibition, DATE 2002
Gad, E. (Emad), & Nakhla, M.S. (2002). Efficient model reduction of linear time-varying systems via compressed transient system function. In Proceedings -Design, Automation and Test in Europe, DATE (pp. 916–922). doi:10.1109/DATE.2002.998409