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

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2 Author(s)
Xue-Jun Xie ; Inst. of Autom., Qufu Normal Univ., Qufu, China ; Liang Liu

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:58 ,  Issue: 2 )