3 papers
math.DS2013
Extremal norms for positive linear inclusions
Oliver Mason, Fabian Wirth
For finite-dimensional linear semigroups which leave a proper cone invariant it is shown that irreducibility with respect to the cone implies the existence of an extremal norm. In…
math.DS2013
Stability Criteria for SIS Epidemiological Models under Switching Policies
Mustapha Ait Rami, Vahid S. Bokharaie, Oliver Mason +1
We study the spread of disease in an SIS model. The model considered is a time-varying, switched model, in which the parameters of the SIS model are subject to abrupt change. We sh…
math.OC2010
A hierarchy of LMI inner approximations of the set of stable polynomials
Mustapha Ait Rami, Didier Henrion
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear mat…