Abstract
This paper addresses the new algebraic test to check the aperiodic stability of two dimensional linear time invariant discrete systems. Initially, the two dimensional characteristics equations are converted into equivalent one-dimensional equation. Further Fuller’s idea is applied on the equivalent one-dimensional characteristics equation. Then using the co-efficient of the characteristics equation, the routh table is formed to ascertain the aperiodic stability of the given two-dimensional linear discrete system. The illustrations were presented to show the applicability of the proposed technique.
Highlights
Stability is the unique and basic property to be possessed by all kinds of systems
For a given absolutely stable linear time invariant discrete system represented by its characteristics equation f(Z) = 0, with all the roots having z < 1, the aperiodic stability can be obtained in the given stable system
Using fuller’s concept routh table is formed to check the aperiodic stability of the system
Summary
Stability is the unique and basic property to be possessed by all kinds of systems To investigate this property, various graphical and analytical methods are available. Information about the aperiodic stability of a control system is of paramount importance for any design problem This is generally used for the design of instrumentation systems, network analysis and au-. The analysis of aperiodic stability of a given stable linear discrete system is presented with a help of fullers equation as follows it accounts all the coefficients of the equivalent one dimensional characteristics equations in the Sn row when n is either even or odd and Sn−1 row is formed using the coefficients by differentiating the equivalent one dimensional characteristics equation.
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