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    Preservation of piecewise-linear Lyapunov function under Padé discretization

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    In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems under Pad ́ e approximations. In particular , we present a simple method to find a piecewise-linear Lyapunov function that is so preserved under the Pad ́ e discretization of any order and sampling time. This result may be of interest in the discretisation of switched linear systems for both simulation and control desig

    Letter of acknowledgement: “The Johannesburg Saga” – John R Shorten

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    The library is very grateful for this donation. Personalised bookplates will be inserted in the book.I acknowledge with thanks and appreciation your donation of the book entitled, “The Johannesburg Saga” – John R Shorten (1 copy).MM202

    A Note on Discretization of Sparse Linear Systems

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    In this paper a modified Euler transformation is introduced and studied. The main merit of this transformation is to outperform stability preservation (with respect to the traditional Euler transformation) besides preserving the matrix sparseness. This is particular appealing in the analysis of positive systems since it is shown that stability is preserved independent of the sampling period. A brief collection of results for switched systems has been also provided
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