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

被引：8
|
作者：
Sumanasena, Buddika [1 ]
Dewasurendra, Duminda A. [2 ]
Bauer, Peter H. [1 ]
机构：
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
[2] Motorola Inc, Plantation, FL 33322 USA
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2010年 / 58卷 / 08期
基金：
美国国家科学基金会;
关键词：
Distributed filtering; Fornasini-Marchesini model; Givone-Roesser model; global asymptotic stability; grid sensor networks; nonlinear systems; 3-D systems; STATE-SPACE REALIZATION; DIGITAL-FILTERS;
D O I：
10.1109/TSP.2010.2048706
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
引用
收藏
页码：4447 / 4453
页数：8
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