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15: External input-output stability

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  • In this lecture, we introduce the notion of external, or input-output, stability for systems. There are many connections between this notion of stability and that of Lyapunov stability which we discussed in the previous two chapters. We will only make the connection in the LTI case. In addition, we will point out the fact that the notion of input-output stability depends in a non-trivial fashion on the way we measure the inputs and the outputs.

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