A Generalization of the Scattering Transformation for Conic Systems

Author

Polushin, Ilia G.

Author_Institution

Dept. of Electr. & Comput. Eng., Western Univ., London, ON, Canada

Volume

59

Issue

7

fYear

2014

fDate

Jul-14

Firstpage

1989

Lastpage

1995

Abstract

A generalized version of the scattering transformation is introduced which allows for rendering of the input-output characteristics of a nonlinear conic system into an arbitrary prescribed conic sector. The transformation is consequently applied to the problem of stabilization of conic systems interconnections. The stability is achieved by rendering the input-output characteristics of the subsystems into complementary cones such that the graph separation stability condition is satisfied. In the presence of communication delays, the scattering-based technique for stabilization of feedback interconnections is generalized to the case of arbitrary conic subsystems.

Keywords

delays; stability; arbitrary conic subsystems; arbitrary prescribed conic sector; communication delays; conic systems interconnections; feedback interconnections; graph separation stability condition; input-output characteristics; nonlinear conic system; scattering transformation generalization; scattering-based technique; stabilization; Communication channels; Delays; Interconnected systems; Rendering (computer graphics); Scattering; Teleoperators; Transforms; Delay systems; feedback systems; stability; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2304396

Filename

6730922