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• W3132858767 abstract "Abstract This chapter focuses on studying the state estimation problem for continuous-time systems with time-varying delay and constructing a proper Lyapunov–Krasovskii functional (LKF), which is crucial for deriving less conservative estimation criteria. The main idea of previous LKFs are by employing more state information, and all they are composed of positive definite terms. In this chapter, we propose a delay-product-type LKF with negative definite terms and estimate its derivative by the third-order Bessel–Legendre (B-L) based integral inequality together with mixed convex combination approaches. Based on the novel LKF, we obtain the desired estimator gain matrices and the H ∞ performance index by solving a set of linear matrix inequalities (LMIs). Finally, we give numerical examples to demonstrate the effectiveness of the proposed method." @default.
• W3132858767 created "2021-03-01" @default.
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• W3132858767 date "2021-01-01" @default.
• W3132858767 modified "2023-10-16" @default.
• W3132858767 title "State estimation strategy for continuous-time systems with time-varying delay via a novel L-K functional" @default.
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• W3132858767 doi "https://doi.org/10.1016/b978-0-32-385347-7.00010-9" @default.
• W3132858767 hasPublicationYear "2021" @default.
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