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State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems
Zhandong YuLiang LiuQi ZhouHamid Reza Karimisubject
Mathematical optimizationClass (computer programming)Article SubjectApplied Mathematicslcsh:MathematicsFeed forwardState (functional analysis)lcsh:QA1-939Nonlinear systemControl theoryHomogeneousStability theoryAnalysisMathematicsdescription
We investigate the state-feedback stabilization problem for a class of stochastic feedforward nonlinear time-delay systems. By using the homogeneous domination approach and choosing an appropriate Lyapunov-Krasovskii functional, the delay-independent state-feedback controller is explicitly constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the proposed design method.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Abstract and Applied Analysis |