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• W2116674510 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> In this note, the problem on approximating a linear periodic system with period <formula formulatype=inline><tex>$N$</tex></formula> by a periodic model with period <formula formulatype=inline><tex>$M(0<M<N)$</tex> </formula> is revisited. Different from the existing results, the proposed method is based on state-space representations and the approximation performance is evaluated using <formula formulatype=inline><tex>$H_{infty}$</tex></formula> norms. Under this framework, both finite impulse response (FIR) and infinite impulse response (IIR) periodic systems can be efficiently approximated by using a constructive linear matrix inequality approach. Finally, some numerical examples are given to illustrate the effectiveness of the proposed approach. </para>" @default.
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• W2116674510 date "2007-03-01" @default.
• W2116674510 modified "2023-09-26" @default.
• W2116674510 title "A Constructive Approach to Approximate Linear Periodic Systems" @default.
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• W2116674510 doi "https://doi.org/10.1109/tac.2007.892377" @default.
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