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Proposition 2.1:

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Consider the feedback system depicted in Figure 2.1, where is the nonlinear system (1), is the PID controller of 2.1 and is an external signal. Assume the interconnection is well defined.1 If the mapping is passive, the operator is ‐stable. More precisely, there exists such that



Figure 2.1 Block diagram representation of the closed‐loop system of Proposition 2.1.

PID Passivity-Based Control of Nonlinear Systems with Applications

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