Approximate Simulation Relations for Hybrid Systems
Discrete Event Dynamic Systems
Approximately bisimilar symbolic models for nonlinear control systems
Automatica (Journal of IFAC)
Approximate simulation relations and finite abstractions of quantized control systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
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In this paper we provide a bridge between the infinite state models used in control theory to describe the evolution of continuous physical processes and the finite state models used in computer science to describe software. We identify classes of control systems for which it is possible to construct equivalent (bisimilar) finite state models. These constructions are based on finite, but otherwise arbitrary, partitions of the set of inputs or outputs of a control system.