Stability of Distributed 3-D Systems Implemented on Grid Sensor Networks

Author

Sumanasena, Buddika ; Dewasurendra, Duminda A. ; Bauer, Peter H.

Author_Institution

Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA

Volume

58

Issue

8

fYear

2010

Firstpage

4447

Lastpage

4453

Abstract

Using the Givone-Roesser and the Fornasini-Marchesini state space models for m-D systems, a method for distributed information processing in rectangular grid based wireless sensor networks is presented. It can be used for distributed implementation of any general linear system on a grid sensor network. Nonlinearities caused by finite precision number representation schemes used for in node computations and inter node communication are modeled. Stability of the system is analyzed with special consideration given to the influence of inter-node communication on system dynamics. A necessary and sufficient condition for global asymptotic stability under finite precision arithmetic is established. Simulation results are presented to illustrate the theoretical results.

Keywords

asymptotic stability; state-space methods; wireless sensor networks; Fornasini-Marchesini state space model; distributed 3D systems; distributed information processing; finite precision arithmetic; general linear system; global asymptotic stability; grid sensor networks; inter node communication; necessary condition; rectangular grid; sufficient condition; wireless sensor networks; 3-D systems; Distributed filtering; Fornasini–Marchesini model; Givone-Roesser model; global asymptotic stability; grid sensor networks; nonlinear systems;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2010.2048706

Filename

5452988