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

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

In this paper, we consider the problem of global stabilization for a class of stochastic high-order feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination design method and constructing the appropriate Lyapunov–Krasovskii functional, a state feedback control...

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Veröffentlicht in:Automatica (Oxford) 2014-01, Vol.50 (1), p.203-210
Hauptverfasser: Zhao, Cong-Ran, Xie, Xue-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Asymptotic properties
Computer science
control theory
systems
Construction
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Delay
Dynamical systems
Exact sciences and technology
Feedforward
Homogeneous domination method
Stabilization
State feedback
Stochastic high-order feedforward systems
Stochasticity
Time-varying delay
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Beschreibung
Zusammenfassung:In this paper, we consider the problem of global stabilization for a class of stochastic high-order feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination design method and constructing the appropriate Lyapunov–Krasovskii functional, a state feedback controller is constructed to drive the closed-loop system to be globally asymptotically stable in probability.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2013.09.044