Title :
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
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2010.2048706
