Abstract
To evaluate the performance of a linear time-invariant system various measures are available. In this work, it is proposed a two algebraic stability criteria using Routh-like table with complex coefficients to check whether the given two-dimensional linear system is aperiodically stable or not. To test the aperiodic stability of the given two-dimensional linear time-invariant discrete system represented in the form of its characteristic equation is converted into equivalent one-dimensional characteristics equation, whose characteristics equation having complex coefficients. Using this complex coefficient, a modified Routh table has been formed by two schemes named as Sign pair Criterion I (SPC-I) and Sign Pair Criterion II (SPC-II). These two criteria are very convenient compared to other available algebraic schemes for the analysis of aperiodic stability of two-dimensional linear systems.
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