— In this note, we have shown special case on Routh stability criterion, which is not discussed, in previous literature. This idea can be useful in computer science applications.

In this paper employing Routh's table, a geometrical stability criterion for the analysis of linear time-invariant system is formulated. The proposed stability criterion is applied for the system, whose characteristic equation having complex coefficients. For this Routh like table is presented with complex terms and the signs pair-wise elements with the first column of the table are observ...

In the mid-nineteenth century James C. Maxwell, and others, became interested in the stability of motion of dynamic systems. Maxwell’s interest in stability stemmed in part from his work with an automatic control system a speed governor he and his colleagues were using in laboratory measurements to establish the definition of the ohm. Maxwell was the first to publish a dynamic analysis of this ...

The main objective of this paper is to investigate the robust control aspect of chaotic and uncertain system. The robust stability analysis of closed loop attitude control system of an aircraft is presented using the Kharitonov theorem. The proposed technique for examining the robust stability of chaotic polynomial is efficient and expeditious one as the onerous application of Routh stability c...

We clarify the explici structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory.

This paper reviews the problem of a thin rigid rod sliding on a horizontal surface in the plane, which is commonly cited as an example of the inconsistency of planar rigid-body Newtonian mechanics. We demonstrate the existence of a consistent solution, using Routh's analysis of rigid-body impact. Copyright © 1987 Carnegie-Mel lon University This work was supported under grants from the System D...

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