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@inproceedings{905379, author = {Tůmová, Jana and Yordanov, Boyan and Belta, Calin and Černá, Ivana and Barnat, Jiří}, address = {Neuveden}, booktitle = {Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)}, keywords = {Automata; Game Theory; Hybrid Systems}, language = {eng}, location = {Neuveden}, isbn = {978-1-4244-7744-9}, pages = {4230-4235}, publisher = {Omnipress for IEEE Control Systems Society}, title = {A Symbolic Approach to Controlling Piecewise Affine Systems}, year = {2010} }
TY - JOUR ID - 905379 AU - Tůmová, Jana - Yordanov, Boyan - Belta, Calin - Černá, Ivana - Barnat, Jiří PY - 2010 TI - A Symbolic Approach to Controlling Piecewise Affine Systems PB - Omnipress for IEEE Control Systems Society CY - Neuveden SN - 9781424477449 KW - Automata KW - Game Theory KW - Hybrid Systems N2 - We present a computational framework for auto- matic synthesis of a feedback control strategy for a piecewise affine (PWA) system from a specification given as a Linear Temporal Logic (LTL) formula over an arbitrary set of linear predicates in its state variables. First, by defining partitions for its state and input spaces, we construct a finite abstraction of the PWA system in the form of a control transition system. Second, we develop an algorithm to generate a control strategy for the finite abstraction. While provably correct and robust to small perturbations in both state measurements and applied inputs, the overall procedure is conservative and expensive. The proposed algorithms have been implemented and are available for download. Illustrative examples are included. ER -
TŮMOVÁ, Jana, Boyan YORDANOV, Calin BELTA, Ivana ČERNÁ a Jiří BARNAT. A Symbolic Approach to Controlling Piecewise Affine Systems. In \textit{Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)}. Neuveden: Omnipress for IEEE Control Systems Society, 2010, s.~4230-4235. ISBN~978-1-4244-7744-9.
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