@inproceedings{c0181b80b1434e3a9ad275032dcfa03d,

title = "On factorization of the nonlinear drift term for SDRE approach",

abstract = "This study presents necessary and sufficient conditions for the existence of a constant matrix A that satisfies Ax = f, (A,B) is stabilizable and (A,C) is observable (resp., detectable), where x and f are two constant vectors with x ≠ 0, while B and C are two constant matrices with approximate dimension. The conditions presented are very easy to check and a set of such feasible matrices A are also provided explicitly when the existence conditions are satisfied. In practical applications, this study may cooperate with the state-dependent Riccati equation (SDRE) implementation at those states where the SDRE scheme fails to operate, yet the presented existence conditions hold there.",

keywords = "Drift term, Nonlinear control system, State dependent Riccati equation",

author = "Liang, {Yew Wen} and Lin, {Li Gang}",

year = "2011",

doi = "10.3182/20110828-6-IT-1002.00808",

language = "???core.languages.en_GB???",

isbn = "9783902661937",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "1 PART 1",

pages = "9607--9612",

booktitle = "Proceedings of the 18th IFAC World Congress",

edition = "1 PART 1",

}