Dissipativity Analysis of Linear StateInput Delay Systems

Abstract EN

This paper discusses dissipativity problem for system of linear state/input delay equations.

Motivated by dissipativity theory of control systems, we choose a new quadratic supply rate.

Using the concept of dissipativity, necessary and sufficient conditions for the linear state/input delay systems to be dissipative and exponentially dissipative are derived.

The connection of dissipativity with stability is also considered.

Finally, passivity and finite gain are explored, correspondingly.

The positive-real and bounded-real lemmas are derived.