47H60 Multilinear and polynomial operators [See also 46G25]
Refine
Year of publication
- 2010 (1)
Language
- English (1)
Keywords
- Popov function (1)
- behavior approach (1)
- contractivity (1)
- cyclo-dissipativity (1)
- dissipativity (1)
- even pencil (1)
- even polynomial (1)
- frequency-domain (1)
- generalized eigenvalue$ (1)
- para-Hermitian polynomial (1)
- passivity (1)
- polynomial eigenvalue problem (1)
- problem (1)
- purely imaginary eigenvalue (1)
- structured eigenvalue problem (1)
Project
- D2 (1)
Application Area
- D (1)
The behavior approach and the problem of dissipativity have both been introduced and studied extensively by Willems et al. However, a computationally feasible method to check dissipativity is missing. Current methods will mostly rely on symbolic representations of rational functions. We will discuss a new characterization for linear systems in behavior form that allows to check dissipativity via the solution of a para-Hermitian, polynomial eigenvalue problem. Thus, we can employ standard methods of cubic complexity.