Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 56, Issue 8, Pages 1921-1926Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2011.2135150
Keywords
High-order stochastic nonlinear systems; state-feedback control; stochastic integral input-to-state stability (SiISS); stochastic inverse dynamics
Funding
- National Natural Science Foundation of China [10971256]
- Specialized Research Fund for the Doctoral Program of Higher Education [20103705110002]
- Shandong Provincial Natural Science Foundation of China [ZR2009GM008, ZR2009AL014]
- Natural Science Foundation of Jiangsu Province [BK2009083]
- Innovation Program of Graduate Students of Jiangsu Province of China [CX10B_078Z]
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This technical note considers a class of high-order stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics, and drift and diffusion terms depending upon the stochastic inverse dynamics and all the states. A new design and analysis approach to the problem of state-feedback global regulation is developed to guarantee that all the signals of the closed-loop system are bounded almost surely and the states can be regulated to zero almost surely.
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