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- W2189559145 abstract "This note presents a method for the reduction of the order of interval system. The denominator of the reduced model is obtained by a direct truncation of the Routh table of the interval system. The numerator is obtained by matching the coefficients of power series expansions of the interval system and its reduced model. A numerical example illustrates the proposed procedure. The dimensionality problem in the analysis of high-order systems is well known. In many situations it is desirable to replace the high-order system by a lower order model. Several methods are available for the model reduction of high-order dynamical systems. Among them important methods are aggregation method ( 11, Pade approximation (2), Routh approximation (3), moment matching technique (4), and recently L optimization technique (5). The Pade approximation technique has many useful features such as computational simplicity and fitting of time moments. A serious disadvantage of this method, however, is that it often leads to an unstable reduced-order model even though the original system is stable. In (6), Shamash has given a procedure by mixing the Routh approximation and time moment matching for obtaining a reduced-order model. In (7), a method is presented where the denominator of the model is selected directly from the Routh table and the numerator is obtained by matching time moments. Later Bandyopadhyay and Lamba (8), have presented a time domain version of these Pade approximation methods. An unification (9) of frequency and time domain Pade approximations is also presented. On the other hand the stability and transient analysis of interval system has attracted the attention of many researchers (lo)-(12). In this note, model reduction of interval system is attempted. The denominator of the interval-reduced model is obtained from the Routh table of the interval system. The numerator is obtained by matching the power series expansion of the interval system and its model. The brief outline of this note is as follows: Section I1 contains the main result of this note whereas Section 111 contains a numerical example followed by the concluding Section IV." @default.
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- W2189559145 date "1994-01-01" @default.
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- W2189559145 title "Technical Notes and Correspondence" @default.
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