Abstract
The paper presents two algebraic criteria for the relative stability analysis of two-dimensional systems, which are represented in the form of characteristics equation and further the equivalent single-dimensional characteristics equation is formed from the given two-dimensional characteristics equation. When the relative stability analysis is done based on the damped frequency of oscillation, the characteristic equations with complex coefficients arise. These complex coefficients are used in two different ways to form the modified Routh’s tables for the two schemes named as sign pair criterion I and sign pair criterion II. It is found that the proposed algorithms offer computational simplicity compared to other algebraic methods and are illustrated with suitable examples, and the results were verified using MATLAB.
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Ramesh, P. (2019). Relative Stability Analysis of Two-Dimensional Linear Systems with Complex Coefficients. In: Ray, K., Sharan, S., Rawat, S., Jain, S., Srivastava, S., Bandyopadhyay, A. (eds) Engineering Vibration, Communication and Information Processing. Lecture Notes in Electrical Engineering, vol 478. Springer, Singapore. https://doi.org/10.1007/978-981-13-1642-5_60
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DOI: https://doi.org/10.1007/978-981-13-1642-5_60
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