Relaxation Results for Hybrid Inclusions |
| |
Authors: | Chaohong Cai Rafal Goebel Andrew R Teel |
| |
Institution: | 1. Department of Electrical & Computer Engineering, University of California, Santa Barbara, CA, 93106, USA 2. 3518 NE 42 St., Seattle, WA, 98105, USA
|
| |
Abstract: | The Filippov–Wa?ewski relaxation theorem describes when the set of solutions to a differential inclusion is dense in the set of solutions to the relaxed (convexified) differential inclusion. This paper establishes relaxation results for a broad range of hybrid systems which combine differential inclusions, difference inclusions, and constraints on the continuous and discrete motions induced by these inclusions. The relaxation results are used to deduce continuous dependence on initial conditions of the sets of solutions to hybrid systems. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|