Abstract
In this paper we revisit the construction of quantized models of control systems. Based on an approximate notion of simulation relation and under a stabilizability assumption we show how we can force a lattice structure on the reachable space of a quantized control system for any finite input quantization. When we are only interested in a compact subset of the state space, as is the case in concrete applications, our results immediately provide a finite model for the quantized control system.
This research was partially supported by the National Science Foundation CAREER award 0446716.
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Tabuada, P. (2007). Approximate Simulation Relations and Finite Abstractions of Quantized Control Systems. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_41
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DOI: https://doi.org/10.1007/978-3-540-71493-4_41
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