Title :
Stability of distributed 3-D systems implemented on grid sensor networks using floating point arithmetic
Author :
Sumanasena, Buddika ; Bauer, Peter H.
Abstract :
In this paper, stability of distributed 3-D systems implemented in sensor networks using the Givone-Roesser and the Fornasini-Marchesini state space models under floating point arithmetic is studied. Nonlinearities caused by floating point 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 internode communication on system dynamics. A necessary and sufficient condition for global asymptotic stability under floating point arithmetic is established. Simulation results are presented to illustrate the theoretical results.
Keywords :
asymptotic stability; distributed processing; floating point arithmetic; state-space methods; wireless sensor networks; Fornasini-Marchesini state space models; Givone-Roesser state space models; distributed 3D system stability; floating point arithmetic; floating point number representation schemes; grid sensor networks; internode communication; node computations; system dynamics; Asymptotic stability; Computational modeling; Power system stability; Quantization; Solid modeling; Stability analysis; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160278
