Ž . Let A be an n = n matrix and let s A be its spectrum. The stability Ž . Ž .4 modulus of A is s A s max Re l: l g s A , and A is said to be stable Ž . if s A 0. The stability of a matrix is related to the Routh]Hurwitz problem on the number of zeros of a polynomial that have negative real parts. Much research has been devoted to the latter. The first solution w x dates back to Sturm 21, p. 3...

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...

Title: Insulin blunts the response of glucose-excited (GE) neurons in the ventrolateralventromedial hypothalamic nucleus (VL-VMN) to decreased glucose. Abbreviated Title: Insulin modulated glucose responses in VL-VMN GE neurons Authors: Victoria E. Cotero and Vanessa H Routh Addresses: New Jersey Medical School (UMDNJ), Newark, NJ Running Head: Insulin modulated glucose responses in VL-VMN GE n...

ISSN: 1538-4101 (Print) 1551-4005 (Online) Journal homepage: http://www.tandfonline.com/loi/kccy20 Packaging host RNAs in small RNA viruses Andrew Routh, Tatiana Domitrovic & John E. Johnson To cite this article: Andrew Routh, Tatiana Domitrovic & John E. Johnson (2012) Packaging host RNAs in small RNA viruses, Cell Cycle, 11:20, 3713-3714, DOI: 10.4161/cc.22112 To link to this article: http://...

The Higher order systems are frequently too arduous to be used in real time applications. Model order reduction was developed in the areas of systems and control theory, which studied properties of dynamical systems in application for reducing their complexity, while preserving their input-output behavior as much as possible. Routh approximation method (RAM) is one of the most elegant methods o...

In control engineering, there may be two systems that have the same input-output characteristic with differentdegrees of complexity. This concept leads to order diminution(OD) a large scale system. this article, authorspropose new hybrid diminution technique based on time moment matching method Routh arrayconcept and recently developed fast accurate salp swarm optimization (SSO) technique. The ...