@article{e41ad23702604204be7bf57471d347cc,
title = "Analysis of SDC matrices for successfully implementing the SDRE scheme",
abstract = "The state-dependent Riccati equation (SDRE) approach for stabilization of nonlinear affine systems was recently reported to be effective in many practical applications; however, there is no guideline on the construction of state-dependent coefficient (SDC) matrix when the SDRE solvability condition is violated, which may result in the SDRE scheme being terminated. In this study, we present several easy checking conditions so that the SDRE scheme can be successfully implemented. Additionally, when the presented checking conditions are satisfied, the sets of all feasible SDC matrices and their structures are explicitly depicted for the planar system.",
keywords = "Nonlinear control system, Stability, State-dependent coefficient matrix, State-dependent Riccati equation",
author = "Liang, {Yew Wen} and Lin, {Li Gang}",
note = "Funding Information: This work was supported by the National Science Council, Taiwan , under Grants 99-2218-E-009-004 , 100-2221-E-009-026-MY2 , and 101-2623-E-009-005-D . The material in this paper was partially presented at the 18th IFAC World Congress, August 28–September 2, 2011, Milano, Italy. This paper was recommended for publication in revised form by Associate Editor Constantino M. Lagoa under the direction of Editor Roberto Tempo. ",
year = "2013",
month = oct,
doi = "10.1016/j.automatica.2013.07.026",
language = "???core.languages.en_GB???",
volume = "49",
pages = "3120--3124",
journal = "Automatica",
issn = "0005-1098",
number = "10",
}