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Wicks, M., Peleties, P. and DeCarlo, R. (1998) Switched Controller Synthesis for the Quadratic Stabilisation of a Pair of Unstable Linear Systems. European Journal of Control, 4, 140-147.
https://doi.org/10.1016/S0947-3580(98)70108-6

has been cited by the following article:

• TITLE: Finite-Time H∞ Control of Switched Nonlinear Systems under State-Dependent Switching

  AUTHORS: Xiaoyue Zhang, Yao Wang

  KEYWORDS: Finite-Time H∞ Control, Switched Nonlinear Systems, Multiple Lyapunov-Like Functions, State-Dependent Switching

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.7, July 26, 2023

  ABSTRACT: This paper investigates the finite-time H∞ control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H∞ control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.