Abstract
This paper deals with the dynamics of hybrid systems under piecewise open-loop controls restricted by hard bounds. The system equations may be reset when crossing some prespecified domains (“the guards”) in the state space. Therefore the continuous dynamics which govern the motion between the guards are complemented by discrete transitions which govern the resets. A state space model for such systems is proposed and reachability sets for such models are described. The computational side of reachability is treated through ellipsoidal techniques that indicate routes for numerical algorithms.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Rights and permissions
About this chapter
Cite this chapter
Kurzhanski, A., Varaiya, P. Ellipsoidal Techniques for Hybrid Dynamics: the Reachability Problem. In: P. Dayawansa, W., Lindquist, A., Zhou, Y. (eds) New Directions and Applications in Control Theory. Lect. Notes Control, vol 321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10984413_12
Download citation
DOI: https://doi.org/10.1007/10984413_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23953-6
Online ISBN: 978-3-540-31574-2
eBook Packages: EngineeringEngineering (R0)