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This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems with performance presented in the aforementioned paper. Using a numerical example, it is demonstrated that stability conditions for switched affine systems obtained from a max-type composition to define both the Lyapunov function and switching rule are not necessarily more conservative than the ones obtained from a quadratic Lyapunov function and a min-type composition to define the switching rule.
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