Robust filtering for Markovian jump neutral systems with distributed delays

Abstract

Over the past decades, a great deal of attention has been devoted to parameter-invariant neutral systems. However, in practical applications, the jump of parameters frequently occurs to neutral systems on account of sudden environmental changes, which can be described by Markovian jump systems. This paper mainly deals with the problem of robust L 2 − L ∞ filtering for uncertain Markovian jump neutral systems with distributed delays. The uncertain parameters are assumed to be time varying and norm bounded. By utilizing the Newton-Leibniz formula and integral inequality technique, the delay-dependent sufficient conditions for the existence of the filter are derived such that the filtering error system is stochastically stable with an L 2 − L ∞ performance constraint. Based on the obtained criteria and by employing congruent transformation, the robust L 2 − L ∞ filter is designed in terms of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. ARTICLE HISTORY

Co-design between non-fragile L 2-L  control and event-triggered mechanism for distributed-delay networked control systems

“…In detail, the authors of reference [5] studied the co-design method of the discrete ETM and 1 L fault-tolerant controller, which is applied to NCSs with transmission delay and quantization. The distributed delays occur when the number of delay summation terms increases and the difference between adjacent parameter values decreases [9]. In [10], the state feedback control problem for a class of discrete stochastic systems with distributed delays was considered by LMI.…”

Protocol-based state estimation for delayed Markovian jumping neural networks

“…In [22], [46] and [21], [42], some attempts have been made on analyzing, respectively, the stability and synchronization issues of the time-delayed neural networks. In [29], the robust l 2 -l ∞ state estimation problem has been discussed for uncertain Markovian jump neutral systems with distributed delays. Moreover, the dissipativity and passivity analysis issues with various types of delays have been considered in [15] and [27].…”