Dissipativity for Lur’e distributed parameter control systems

In this work, 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 unbounded operator Q 1 are established in terms of linear operator inequalities (LOIs). Finally, the heat equation illustrates our result.