Leader‐following mean square consensus of stochastic multi‐agent systems with input delay via event‐triggered control

Survey of duality between linear quadratic regulation and linear estimation problems for discrete-time systems

“…Over the past few decades, the study of time delays has exerted great interest of plenty of scholars [10][11][12][13][14]. According to different kinds of time delay, many results have sprung up, such as communication delay [15,16], control input delay [17][18][19][20], state-dependent delay [21][22][23][24], state-independent delay [25,26], output delay [27,28], distributed delay [29][30][31][32], time-varying delay [33,34]. For example, communication links are usually imperfect and the limited bandwidth may result in delays.…”

“…associated with the quadratic performance index 19) where P N+1 = P T N+1 ≥ 0 is the penalty applied on the final state, the weighting matrix R(k) and Q(k) are considered positive definite and non-negative definite, respectively. Moreover, the initial state x(-i) (0 ≤ i ≤ h d ) and the control signal u(-i) (0 < i ≤ l d ) are considered to be known.…”

Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations

“…Liu et al [21], Liu, et al [22], Liu et al [23] and Liu et al [24]), synchronization based on periodically intermittent adaptive control (Guo et al [9], Wang et al [42]), pinning synchronization (Li et al [20]),pinning synchronization based on adaptive control (Wang et al [43]), lag synchronization (e.g. [47]), event-based synchronization ( [38]), consensus with antagonistic interactions ( [28]) and so on.…”

“…Studies on the stochastic complex systems (including biological model or neural networks) were performed in the literature (see e.g. [34,51,9,50,32,42,43,46,38,23,13,44,48]).…”

Review of stability and stabilization for impulsive delayed systems

“…Time delay systems represent one of the most popular class of systems. Time delay, whether occurs in the system state, the control input, or the measurement, is often inevitable in practical systems and can be a source of instability and poor performance [21,19,1,61,41,20,94,95,79,72]. The future evolution of the system state of a time delay system depends not only on its current value, but also on its past values [124,15,88,87,55,121,111,81,34,14,117,46].…”