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Continuous global stabilisation of high-order time-delay nonlinear systems++
- Source :
- International Journal of Control. 86:994-1007
- Publication Year :
- 2013
- Publisher :
- Informa UK Limited, 2013.
-
Abstract
- This paper studies the global stabilisation problem for a class of high-order nonlinear systems with multiple time delays. A distinct property of the systems to be investigated is that powers on the upper bound restrictions of nonlinearities are allowed to take values on a continuous interval. By introducing the sign functions and using the generalised method of adding a power integrator, this paper successfully designs a continuous global state-feedback controller independent of time delays. Moreover, a novel Lyapunov–Krasovskii functional is constructed to prove the globally asymptotic stability of the resulting closed-loop system.
Details
- ISSN :
- 13665820 and 00207179
- Volume :
- 86
- Database :
- OpenAIRE
- Journal :
- International Journal of Control
- Accession number :
- edsair.doi...........45703b102b05999d0420b3b5f3c2d1cc