My first thoughts would concern the size of the panels, and the spline system used for installation. What is the thickness of the panels? If the panels are 6" thick, 4' wide by the height of the room, with 2x6 vertical splines 4' on center, then a let-in 2x10 rimboard lagged to the splines should provide a fairly stable starting point. Thinner panels, 8' wide panels, or splines other than 2x's will create a more difficult problem to deal with.
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