Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model

Guaranteed cost control for uncertain 2-D discrete systems with state delay in the Roesser model

“…Paszke et al [16] presented a sufficient stability condition and a stabilization method for discrete linear state delay 2-D systems. Xu et al [17] dealt with the guaranteed cost control for 2-D discrete state delay systems described by the PM second model. In this paper, we first investigate the guaranteed cost con trol problem for uncertain 2-D discrete state delay systems described by the Roesser model.…”

Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay

“…Delay is often present due to limited speed of information processing and data transmission among different parts of a physical system (Changchun et al, 2009;Dolocan, 1978;Li and Gao, 2011;Nyongesa et al, 2001;Perrott and Cohen, 1996;Tranter et al, 2007;Zhu et al, 2010). A wide range of problems concerning 2D systems incorporating a delay can be found in the literature (Benhayoun et al, 2010(Benhayoun et al, , 2013Benzouia et al, 2011;Chen, 2010aChen, , 2010bDey and Kar, 2014;Kandanvli and Kar, 2009aXu and Yu, 2009a). The stability conditions of digital filters with state delay have been derived (Ahn, 2013(Ahn, , 2014a(Ahn, , 2015Chakrabarti and Mitra, 2003;Dey and Kar, 2014;Shyu et al, 2009;Kandanvli and Kar, 2009aMadanayake et al, 2014).…”

Delay-Dependent Robust <i>H</i><sub>∞</sub> Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model

“…The problem of delay-dependent guaranteed cost control via memoryless state feedback for uncertain 2-D discrete state-delayed systems described by the FM second model has been studied in [43]. In [41], a delay-range dependent H ∞ control and stabilization problem for a class of uncertain 2-D state-delayed systems described by the Roesser model has been proposed.…”