Abstract
In this chapter, the weighted \(\ell _{2}\)-gain analysis for discrete-time switched systems is investigated under MDADT switching. The QTD Lyapunov function introduced in Chap. 2 is adopted. Firstly, the weighted \(\ell _{2}\)-gain performance is deduced for discrete-time switched nonlinear systems. On this basis, LMI conditions are presented for switched linear systems. This chapter lays the foundation for the subsequent \(\mathscr {H}_{\infty }\) controller and filter design.
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Fei, Z., Shi, S., Shi, P. (2020). Weighted \(\ell _{2}\)-Gain Analysis. In: Analysis and Synthesis for Discrete-Time Switched Systems. Studies in Systems, Decision and Control, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-030-25812-2_3
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DOI: https://doi.org/10.1007/978-3-030-25812-2_3
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