Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay

A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system

“…It is necessary to point out that asymptotic stabilization problems of system (1) have been investigated in recent years, see Lin and Qian (2002a,b), Liu (2007, 2009) and references therein, furthermore, Xie (2011, 2013), Sun, Liu, and Xie (2011), Sun and Liu (2015), Xie and Liu (2012), Zhao and Xie (2014) considered the systems corrupted by time-delay and stochastic noise.…”

Further results on global state feedback stabilization of high-order nonlinear systems with time-varying delays

“…Can the results be extended to nonlinear feedforward systems? Moreover, many results on stochastic high-order time-delay nonlinear systems have been recently achieved [24][25][26][27][28][29], but these papers only consider systems with a high-order nonlinear growth. An important issue is whether these results can be extended to stochastic nonlinear systems with highorder and low-order nonlinearities.…”

Global output feedback stabilisation of stochastic high-order feedforward nonlinear systems with time-delay

“…While for the study of stochastic feedforward nonlinear systems based on backstepping design method, to our knowledge, [38] is the first paper, but whose limitations lie in the system order and the linear growth condition on nonlinearities, i.e., [39] improves the result of [38] by relaxing the system order and the assumption on nonlinearity, i.e., it adopts the same Assumption 1 as in this paper. However, [38] and [39] only consider state feedback stabilization.…”

“…To the best of the authors' knowledge, for the study of controller design based on backstepping design method for stochastic feedforward systems, [38] is the first paper, but whose limitations lie in the system order and the linear growth condition on nonlinearities. Subsequently, [39] improves the result of [38] by relaxing the system order and the assumption on nonlinearity (see Remark 3 for the detailed discussion).…”

“…However, [38] and [39] only consider state feedback stabilization. While for output feedback stabilization, there is no result until now.…”