完整後設資料紀錄
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dc.contributor.authorLiaw, DCen_US
dc.contributor.authorLiang, YWen_US
dc.date.accessioned2014-12-08T15:48:43Z-
dc.date.available2014-12-08T15:48:43Z-
dc.date.issued1998-09-01en_US
dc.identifier.issn0916-8508en_US
dc.identifier.urihttp://hdl.handle.net/11536/32393-
dc.description.abstractIn the design of nonlinear reliable controllers, one major issue is to solve for the solutions of the Hamilton-Jacobi inequality. In general, it is hard to obtain a closed form solutions due to the nonlinear nature of the inequality. In this paper, we seek for the existence conditions of quadratic type positive semidefinite solutions of Hamilton-Jacobi inequality. This is achieved by taking Taylor's series expansion of system dynamics and investigating the negative definiteness of the associated Hamilton up to fourth order. An algorithm is proposed to seek for possible solutions. The candidate of solution is firstly determined from the associated algebraic Riccati inequality. The solution is then obtained from the candidate which makes the the truncated fourth order polynomial of the inequality to be locally negative definite. Existence conditions of the solution are explicitly attained for the cases of which system linearization possesses one uncontrollable zero eigenvalue and a pair of pure imaginary uncontrollable eigenvalues. An example is given to demonstrate the application to reliable control design problem.en_US
dc.language.isoen_USen_US
dc.subjectHamilton-Jacobi inequalityen_US
dc.subjectalgebraic Riccati inequalityen_US
dc.subjectreliable controlen_US
dc.subjectpositive definite functionen_US
dc.titleQuadratic polynomial solutions of the Hamilton-Jacobi inequality in reliable control designen_US
dc.typeArticleen_US
dc.identifier.journalIEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCESen_US
dc.citation.volumeE81Aen_US
dc.citation.issue9en_US
dc.citation.spage1860en_US
dc.citation.epage1866en_US
dc.contributor.department電控工程研究所zh_TW
dc.contributor.departmentInstitute of Electrical and Control Engineeringen_US
dc.identifier.wosnumberWOS:000076128900015-
dc.citation.woscount1-
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