Paper Title
An Algebraic Criteria For The Stability Analysis Of A Water Level Control System

The objective of this paper is to formulate an algebraic criteria to analyze stability of time delay systems that arise in engineering systems. Here the stability can be analyzed with the help of complex polynomials. In the proposed scheme which is termed as Sign Pair Criterion II (SPC II ), Routh-like table is developed and the elements in the first column are utilized to get the stability results. Here the real and imaginary parts of the given complex polynomial are separated to form the first two rows of Routh –like table. The Routh multiplication rule is applied to find all the remaining elements of the table. This criterion ise very convenient and simple compared to other available algebraic procedures for stability analysis.