Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 53, Issue 2, Pages 905-925Publisher
SIAM PUBLICATIONS
DOI: 10.1137/140985779
Keywords
H-infinity stability; asymptotic stability; exponential stability; feedback control; discrete-time state observation
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Funding
- EPSRC [EP/E009409/1]
- Royal Society of London [IE131408]
- Royal Society of Edinburgh [RKES115071]
- London Mathematical Society [11219]
- Edinburgh Mathematical Society [RKES130172]
- National Natural Science Foundation of China [11471071]
- Natural Science Foundation of Shanghai [14ZR1401200]
- State Administration of Foreign Experts Affairs of China [MS2014DHDX020]
- Chinese Scholarship Council
- Engineering and Physical Sciences Research Council [EP/E009409/1] Funding Source: researchfish
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Recently, Mao [Automatica J. IFAC, 49 (2013), pp. 3677-3681] initiated the study the mean-square exponential stabilization of continuous-time hybrid stochastic differential equations by feedback controls based on discrete-time state observations. In the same paper Mao also obtains an upper bound on the duration tau between two consecutive state observations. However, it is due to the general technique used there that the bound on tau is not very sharp. In this paper, we will be able to establish a better bound on tau making use of Lyapunov functionals. We will discuss the stabilization not only in the sense of exponential stability (as Mao does in [Automatica J. IFAC, 49 (2013), pp. 3677-3681]) but also in other sense-that of H-infinity stability or asymptotic stability. We will consider not only the mean square stability but also the almost sure stability.
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