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Dissipativity for linear neutral distributed parameter systems: LOI approach. (English) Zbl 1237.34137

The authors establish some delay-dependent sufficient conditions for the dissipativity with respect to the infinite-dimensional version of energy supply rate (\(Q_1, S_1, R_1\)) characterized exclusively by the unbounded operator \(Q_1\) in terms of linear operator inequalities (LOIs). They also illustrate the result by the 3-dimensional heat equation.

MSC:

34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
34K06 Linear functional-differential equations
34K25 Asymptotic theory of functional-differential equations
35R10 Partial functional-differential equations
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