On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
Abstract
In this paper we provide a definition and characterisation of negative imaginary systems for not necessarily rational but symmetric transfer functions along the same lines of the classic definition of positive real systems. We then derive a necessary and sufficient condition that characterises symmetric negative imaginary transfer functions in terms of a matrix sign condition on the imaginary axis.
Citation
Source Title
Additional URLs
ISBN
Remarks
Copyright © 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Collection
Related items
Showing items related by title, author, creator and subject.

Some new results in the theory of negative imaginary systems with symmetric transfer matrix functionFerrante, A.; Ntogramatzidis, Lorenzo (2013)This note represents a first attempt to provide a definition and characterisation of negative imaginary systems for not necessarily rational transfer functions via a sign condition expressed in the entire domain of ...

Ferrante, Augusto; Lanzon, A.; Ntogramatzidis, Lorenzo (2016)In this technical note we lay the foundations of a not necessarily rational negative imaginary systems theory and its relations with positive real systems theory. In analogy with the theory of positive real functions, in ...

Ferrante, A.; Lanzon, A.; Ntogramatzidis, Lorenzo (2016)In this paper we lay the foundations of a not necessarily rational negative imaginary systems theory and its relations with positive real systems theory and, hence, with passivity. In analogy with the theory of positive ...