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• W4320712773 abstract "This paper deals with the finite-time boundedness (FTB) of linear time-invariant systems that are affected by a disturbance generated by an exosystem. By using a time-invariant quadratic Lyapunov function, Finsler's lemma and a dual system approach, new sufficient linear matrix inequalities (LMIs) conditions are given for analysis and synthesis for FTB. These results are extended: first, to finite-time stability (FTS) of linear time-invariant systems, second, to their input–output FTS associated, or not, to FTB. All the conditions are given in terms of LMIs, which make them easily tractable. Finally, the computational efficiency and the conservatism reduction of our approach are illustrated through an illustrative example." @default.
• W4320712773 created "2023-02-15" @default.
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• W4320712773 date "2023-03-01" @default.
• W4320712773 modified "2023-10-06" @default.
• W4320712773 title "On the finite-time stability and stabilisation of LTI systems via an S-variable approach" @default.
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• W4320712773 doi "https://doi.org/10.1080/00207179.2023.2180828" @default.
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