A novel approach to grid sensor networks

LMI‐Based Criterion for the Robust Stability of 2D Discrete State‐Delayed Systems Using Generalized Overflow Nonlinearities

“…In what follows, a criterion applicable to (5) and a different criterion applicable to (6) for the global asymptotic stability of the system described by (1a)-(1b), (2a), (3a)-(3b), and (4) are presented.…”

“…Thus condition G > 0 is a sufficient condition for the global asymptotic stability of system (1a)-(1b), (2a), (3a)-(3b), (4), and (6). By the Schur complement, the condition G > 0 is equivalent to…”

“…Equations (1a)- (4) represent a class of 2D discrete dynamical systems which include 2D discrete systems implemented in a finite register length, 2D digital control systems with overflow nonlinearities, models of various physical phenomena (e.g., compartmental systems, single carriageway traffic flow [40], grid-based wireless sensor networks modeling [6], etc. ), and various dynamical processes represented by the Darboux equation [41][42][43].…”

“…Two-dimensional (2D) systems play an important role in filtering, image data processing and transmission, water stream heating, seismographic data processing, thermal processes, biomedical imaging, gas absorption [1,2], river pollution modeling [3], process of gas filtration [4], grid-based wireless sensor networks [5,6], and many other areas. The study of such systems has received considerable attention in the last two decades.…”

“…These nonlinearities may lead to instability in the designed system. The study of nonlinear systems has received much attention in the literature [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”