The verification problem for stochastic hybrid systems is quite difficult. One method to verify these systems is stochastic reachability analysis. Concepts of abstractions for stochastic hybrid systems are needed to ease the stochastic reachability analysis. In this paper, we set up different ways to define abstractions for stochastic hybrid systems, which preserve the parameters of stochastic reach- ability. A new concept of stochastic bisimulation is introduced and its connection with equivalence of stochastic processes is established.
|Title of host publication||2nd IFAC Conf. on Analysis and Design of Hybrid Systems, ADHS 2006|
|Place of Publication||Oxford|
|Number of pages||6|
|Publication status||Published - Nov 2006|
|Event||2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2006 - Alghero, Italy|
Duration: 7 Jun 2006 → 9 Jun 2006
Conference number: 2
|Conference||2nd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2006|
|Period||7/06/06 → 9/06/06|
Bujorianu, L. M., Blom, H. A. P., & Hermanns, H. (2006). Functional Abstraction of Stochastic Hybrid Systems. In 2nd IFAC Conf. on Analysis and Design of Hybrid Systems, ADHS 2006 (pp. 160-165). Oxford: Elsevier.