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Error bounds based stochastic approximations and simulations of hybrid dynamical systems

Abate, Alessandro and Ames, Aaron D. and Sastry, Shankar (2006) Error bounds based stochastic approximations and simulations of hybrid dynamical systems. In: 2006 American Control Conference. IEEE , Piscataway, NJ, pp. 4742-4747. ISBN 1-4244-0209-3. https://resolver.caltech.edu/CaltechAUTHORS:20190307-105929555

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Abstract

This paper introduces, develops and discusses an integration-inspired methodology for the simulation and analysis of deterministic hybrid dynamical systems. When simulating hybrid systems, and thus unavoidably introducing some numerical error, a progressive tracking of this error can be exploited to discern the properties of the system, i.e., it can be used to introduce a stochastic approximation of the original hybrid system, the simulation of which would give a more complete representation of the possible trajectories of the system. Moreover, the error can be controlled to check and even guarantee (in certain special cases) the robustness of simulated hybrid trajectories.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ACC.2006.1657470DOIArticle
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Additional Information:© 2006 IEEE. This research is supported by the National Science Foundation (NSF award number CCR-0225610) and the grant DAAD19-03-1-0373.
Funders:
Funding AgencyGrant Number
NSFCCR-0225610
Army Research Office (ARO)DAAD19-03-1-0373
Record Number:CaltechAUTHORS:20190307-105929555
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190307-105929555
Official Citation:A. Abate, A. D. Ames and S. Sastry, "Error bounds based stochastic approximations and simulations of hybrid dynamical systems," 2006 American Control Conference, Minneapolis, MN, 2006, pp. 6 pp.-. doi: 10.1109/ACC.2006.1657470
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93632
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Mar 2019 21:30
Last Modified:03 Oct 2019 20:56

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