A Perturbation Approach to the H Analysis of Spatially Periodic Systems
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چکیده
We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the Hnorm. The dependence of the H-norm on the amplitude and frequency of the periodic coefficients is demonstrated.
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تاریخ انتشار 2005