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Dissipativity for Lur’e distributed parameter control systems. (English) Zbl 1242.93038
Summary: Dissipativity of Lur’e distributed parameter control systems has been addressed. 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 an unbounded operator Q 1 are established in terms of Linear Operator Inequalities (LOIs). Finally, the heat equation illustrates our result.
MSC:
93B35Sensitivity (robustness) of control systems
93C25Control systems in abstract spaces
93C20Control systems governed by PDE
93C05Linear control systems
93B28Operator-theoretic methods in systems theory
References:
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