Obesity-prone rats are less sensitive to the satiating effects of exendin-4 than obesity-resistant rats
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摘要
In this paper, we deal with the robust coration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V21-4S1BX5J-1&_mathId=mml18&_user=1067359&_cdi=5689&_rdoc=11&_acct=C000050221&_version=1&_userid=10&md5=09c646713ec4d4a68f8cf5200cc9a924" title="Click to view the MathML source" alt="Click to view the MathML source">H filtering problem for a class of uncertain nonlinear time-delay stochastic systems. The system under consideration contains parameter uncertainties, Itô-type stochastic disturbances, time-varying delays, as well as sector-bounded nonlinearities. We aim at designing a full-order filter such that, for all admissible uncertainties, nonlinearities and time delays, the dynamics of the filtering error is guaranteed to be robustly asymptotically stable in the mean square, while achieving the prescribed coration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V21-4S1BX5J-1&_mathId=mml19&_user=1067359&_cdi=5689&_rdoc=11&_acct=C000050221&_version=1&_userid=10&md5=084c7af45257078e7748915de67fd009" title="Click to view the MathML source" alt="Click to view the MathML source">H disturbance rejection attenuation level. By using the Lyapunov stability theory and Itô’s differential rule, sufficient conditions are first established to ensure the existence of the desired filters, which are expressed in the form of a linear matrix inequality (LMI). Then, the explicit expression of the desired filter gains is also characterized. Finally, a numerical example is exploited to show the usefulness of the results derived.

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