New improved delay-dependent ℋ∞ filter design for uncertain neutral systems

An exact LMI condition for the strong delay‐independent stability analysis of neutral delay systems

“…Their main advantage is the generally lower computational cost. Many of these sufficient conditions can be formulated in terms of linear matrix inequalities (LMIs) and, from there, be generalized to cope with problems of filters and controller design …”

Robust switching-type H∞ filter design for linear uncertain systems with time-varying delay

“…Thus, filtering for dynamic systems should take into account the presence of time delays when they occur. In the past few years, considered efforts have been contributed to the designing of H 1 filters for uncertain time-delay systems, see [6,7,15,17,18,[20][21][22]24,25,27] for details. Some of these results deal with the so-called normbounded uncertainty, which is somewhat conservative in many applications [9,12].…”

“…Some of these results deal with the so-called normbounded uncertainty, which is somewhat conservative in many applications [9,12]. The corresponding H 1 filtering problem for uncertain linear time-delay systems with polytopic type uncertainties has also been treated, based on parameter-independent Lyapunov function [6,17,20] or parameter-dependent Lyapunov function [7,21]. In fact, the parameter-dependent Lyapunov method can reduce conservativeness compared with the parameter-independent one when the uncertain parameters are time-invariant.…”

Robust H<inf>&#x221E;</inf> filtering for a class of stochastic hybrid neutral time-delay systems with average dwell time

“…As for these more general class systems involving the derivative of the delayed state, the stability analysis and synthesis issues are proved to be much more difficult than those of the retarded type. Therefore, delay systems with the neutral type in both the deterministic and stochastic cases have been studied [16][17][18][19]. However, given the significance of switched systems analyzed above and the complexity in dealing with neutrality, only few attempts on stability and control synthesis are made for switched neutral systems [20].…”