Showing papers by "Kumpati S. Narendra published in 2013"
17 Jun 2013
TL;DR: It is shown that the basic mathematical framework used by Patrick Parks involving the Schwarz form can be used to derive the same stability conditions in a simple form, and that results due to Bieler and Kharitonov can also be derived in a unified fashion.
Abstract: The equivalence of the well known Routh and Hurwitz criteria and the conditions derived using a quadratic Lyapunov function, were established by Patrick Parks. In this paper it is shown that the basic mathematical framework used by him involving the Schwarz form can be used to derive the same stability conditions in a simple form, and that results due to Bieler and Kharitonov can also be derived in a unified fashion.