H/sub 2/ and H/sub /spl infin// control for infinite-dimensional systems with jumps

We consider a semigroup model with jumps in the state that covers distributed parameter systems with impulse control or sampled-data distributed parameter systems with control realized through zero-order or first-order hold. We then introduce the H/sub 2/ and H/sub /spl infin// problems for this system and give the solutions in terms of the solutions of Riccati equations with jumps.