Dissipativity for linear neutral distributed parameter systems: LOI approach

In this work dissipativity of linear neutral distributed parameter systems has been addressed. Delay-dependent sufficient conditions for the dissipativity with respect to the infinite-dimensional version of energy supply rate (Q1,S1,R1) characterized exclusively by unbounded   operator Q1Q1 are established in terms of linear operator inequalities (LOIs). Finally, the 3-dimensional heat equation illustrates our result.