We investigate some properties of the reachable set of a control system. Representing the system as a di erential inclusion and using proximal Hamilton-Jacobi equation we describe its graph. We work in inΓΏnitely dimensional Hilbert space and use one sided Lipschitz approach. The funnel equation is c
The approximation of reachable domains of control systems
β Scribed by Kh.G. Guseinov; A.N. Moiseyev; V.N. Ushakov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 465 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0021-8928
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β¦ Synopsis
The problem of constructing reachable domains (RDs) of a non-linear control system functioning over a finite time interval is considered. A method is proposed for the approximate construction of RDs, based on partitioning the phase space of the system by an e-lattice. Estimates are obtained for the accuracy of the approximate RDs. An example is presented.
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