A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay

The homogeneous domination approach is introduced to solve the state feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several trou...

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Veröffentlicht in:	IEEE transactions on automatic control 2013-02, Vol.58 (2), p.494-499
Hauptverfasser:	Xie, Xue-Jun, Liu, Liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Closed loop systems Delay Homogeneous domination approach Lyapunov methods Nonlinear systems State feedback stochastic high-order nonlinear time-delay systems Time varying systems Vectors
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Beschreibung
Zusammenfassung:	The homogeneous domination approach is introduced to solve the state feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a state feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2012.2208297