Integral Quadratic Constraint methodology

IQC is a framework for absolute stability analysis. G(s) is the LTI component defined by a transfer matrix. The nonlinear component is represented by a bounded nonlinear gain operator \(\Delta\)
$$\sigma=Gu+\mu$$
$$u=\Delta(\sigma)+\eta$$
the interconnection operators must be casually invertible. The interconnection is considered stable if the inverse is bounded, and the gain is finite. IQC methodologies characterize the structure of operators in Hilbert Space. The normed vector spaces that are defined by an inner product.

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Backlinks:

[[Inner Product]]
[[LTI Systems]]
[[Stability Analysis of Systems]]
[[Vector Space]]