Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Abstract

SummaryThis paper studies the problem of output feedback stabilization for a class of stochastic feedforward nonlinear systems with state and input delays and the unknown output function. For stochastic feedforward nonlinear systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and  2 Lyapunov-Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.

A New Approach to Adaptive Stabilization of Stochastic High-Order Nonholonomic Systems

“…However, if is an even number or a ratio of odd integer and even integer, it is unclear whether the control strategy can be applied or not. (2) Recently, some results on stochastic nonlinear systems with SiISS dynamic uncertainty have been obtained [27][28][29][30][31][32][33][34][35]. An important problem is how to solve adaptive feedback control for stochastic nonholonomic nonlinear systems with SiISS dynamic and parametric uncertainties.…”

Stability Analysis of Solutions for a Kind of Integro-Differential Equations with a Delay

“…Stability and the existence of solutions for nonlinear differential equations have been studied by many scholars [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] due to their many applications to problems in information theory, control theory, mechanics, chemistry, physics, and so on. In [5], the authors considered a second-order functional integro-differential equation with multiple delays …”

Outer Synchronization of a Modified Quorum-Sensing Network via Adaptive Control

“…In many cases, networks can not realize a certain expected synchronization relying on just coupling interaction between different nodes [23]. Therefore, many different kinds of output control methods have been introduced, such as pinning control [25], sliding mode control [26,27], adaptive control [28,29], and state feedback control [30]. Thereinto, adaptive control could be used to design controllers for systems with uncertain parameters.…”