Application of 2D systems to investigation of a process of gas filtration

Stability analysis of two-dimensional Markovian jump state-delayed systems in the Roesser model with uncertain transition probabilities

“…In this section, we present new results on stochastic stability of a class of 2-D MJSs described by the state-space model (1). First, some technical lemmas and new 2-D summation inequalities are presented.…”

“…During the last decade, the study of 2-D systems both in theory and practice has attracted an increasing attention from researchers due to their extensive applications, for example, in circuit analysis, image data processing and transmission, seismographic data processing, multi-dimensional digital filtering, repetitive processes or iterative learning control (see, for example, [1,8,26] and the references therein).…”

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

“…(1a)-(1b), (2a), (3a)-(3b), (4), and (6) is globally asymptotically stable if there exist n × n positive definite symmetric matrices P, P 1 …”

“…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.…”

New results on saturation overflow stability of 2-D state-space digital filters described by the Fornasini–Marchesini second model

“…The knowledge of 2-D systems is very important to deal with the problems in various areas such as image data processing and transmission [2], process of gas filtration [3], energy exchanging process and electricity transmission, thermal processes in chemical reactors [4], river pollution modeling [5], grid-based wireless sensor networks [6], 2-D digital filtering [7][8][9][10][11][12][13][14], 2-D digital control systems [1,[14][15][16][17][18][19][20][21], 2-D discrete switched systems [18,19,22] etc. The subject of 2-D uncertain systems has also received a significant amount of attention [11,16,17,23].…”