Article : Certain Algebraic Methods For The Stability Analysis Of Differential Delay Systems

Title

Certain Algebraic Methods For The Stability Analysis Of Differential Delay Systems

Author

Dr. S.N.Sivanandam, K.Sreekala

The objective of this paper is to formulate certain criteria to analyze stability of complex polynomials that arise in engineering systems. In certain class of applications, like time-delay systems , stability can be analyzed with the help of complex polynomials. Here two different algebraic schemes are formulated to handle the complex polynomials for analyzing system stability. In both the schemes, Routh-like table is developed and the elements in the first column are utilized to evolve the stability results termed as Sign Pair Criterion(SPC). In the proposed first scheme , the first two rows are formed directly using complex coefficients while in the second scheme , the real and imaginary parts of the given complex polynomial are separated to form the two rows of Routh –like table. These two criteria are very convenient compared to other available algebraic procedures for analysis of stability since they are deduced in line with the classical Routh’s table.

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