A delay-derivative-dependent approach to robust H∞ filter design for uncertain systems with time-varying distributed delays

Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

“…Recently, time-delay systems are widely studied due to the fact that time delay is an important source of instability and poor performance for a control system, and is frequently encountered in many practical control systems. The H N filtering problem for time-delay systems has received considerable research attention in the last decades, see [6][7][8][9][10][11] and the references therein.…”

Robust filtering for Markovian jump neutral systems with distributed delays

“…Further, the mixed delays, which are not equal to each other, exist in both states and outputs. It is worth to note that Parlakçı (2015), An et al (2011), Yin et al (2012), and Zhang and Li (2013) are included here as special cases.…”

“…Proof: By Lemma 2 in An et al (2011), and recalling Schur complement, Equation (8) is equivalently written as…”

“…Deserve to be mentioned, all the above results are employed for systems with either discrete delays or neutral delays. Distributed delays will appear in such circumstances when the number of delay summation terms in a system equation is increased and the differences between parameter values in neighbouring are decreased (An, Wen, Gan, & Li, 2011). Distributed delay systems, which consider uneven delays, are widely used in the fields of aerospace, communication, chemistry and so on.…”

Robust stabilization of polytopic discrete-time systems with time-varying state delay: A convex approach

“…An extension to couple with absolute stability analysis of continuous-time systems with Lur'e type perturbations is found in [18] -where the delay is considered time-invariant -and dissipative analysis and synthesis is proposed in [27] for nonlinear systems with time-varying delays by means of nonconvex conditions. In special, see [1] for robust filter design depending on an upper bound on the time-derivative of the delay. However, none of these results have their discrete-time counterpart found in the literature.…”