ScholarLens Back to search
1972•IEEE Transactions on Automatic ControlRequires access

Correlation between Routh's stability criterion and relative stability of linear systems

Vijaykumar Krishnamurthi

Open publisher page 13 citations

Abstract

The conventional methods of determining the relative stability of linear systems are mostly graphical and therefore tedious and time consuming. Analytic solutions for relative stability using the Nyquist criterion become very difficult for higher order systems. A simple relationship is developed establishing a direct link between Routh's stability criterion and the gain margin of a system.

About this research paper

What this paper is about

The conventional methods of determining the relative stability of linear systems are mostly graphical and therefore tedious and time consuming. Analytic solutions for relative stability using the Nyquist criterion become very difficult for higher order systems. A simple relationship is developed establishing a direct link between Routh's stability criterion and the gain margin of a system.

Why it matters

OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The conventional methods of determining the relative stability of linear systems are mostly graphical and therefore tedious and time consuming. Analytic solutions for relative stability using the Nyquist criterion become very difficult for higher order systems. A simple relationship is developed establishing a direct link between Routh's stability criterion and the gain margin of a system.

Key concepts: Routh–Hurwitz stability criterion, Circle criterion, Nyquist stability criterion, Control theory (sociology), Stability (learning theory), Mathematics, Stability criterion, Linear system

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Correlation between Routh's stability criterion and relative stability of linear systems — Research Paper | ScholarLens