Numerical Scheme for Viability Computation Using Randomized Technique with Linear Programming
Abstract
We deal with the problem of computing viability sets for nonlinear continuous or hybrid systems. Our main objective is to beat the curse of dimensionality, that is, we want to avoid the exponential growth of required computational resource with respect to the dimension of the system. We propose a randomized approach for viability computation: we avoid griding the state-space, use random extraction of points instead, and the computation of viable set test is formulated as a classical feasibility problem. This algorithm was implemented successfully to linear and nonlinear examples. We provide comparison of our results with results of other method.
- Authors:
-
- ETH-Zurich, Automatic Control Laboratory, 8092 Zurich (Switzerland)
- Publication Date:
- OSTI Identifier:
- 21143563
- Resource Type:
- Journal Article
- Journal Name:
- AIP Conference Proceedings
- Additional Journal Information:
- Journal Volume: 1019; Journal Issue: 1; Conference: CISA 08: 1. Mediterranean conference on intelligent systems and automation, Annaba (Algeria), 30 Jun - 2 Jul 2008; Other Information: DOI: 10.1063/1.2953001; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ALGORITHMS; COMPARATIVE EVALUATIONS; FUZZY LOGIC; HYBRID SYSTEMS; LINEAR PROGRAMMING; NEURAL NETWORKS; NONLINEAR PROBLEMS; RANDOMNESS; SPACE
Citation Formats
Djeridane, Badis. Numerical Scheme for Viability Computation Using Randomized Technique with Linear Programming. United States: N. p., 2008.
Web. doi:10.1063/1.2953001.
Djeridane, Badis. Numerical Scheme for Viability Computation Using Randomized Technique with Linear Programming. United States. https://doi.org/10.1063/1.2953001
Djeridane, Badis. 2008.
"Numerical Scheme for Viability Computation Using Randomized Technique with Linear Programming". United States. https://doi.org/10.1063/1.2953001.
@article{osti_21143563,
title = {Numerical Scheme for Viability Computation Using Randomized Technique with Linear Programming},
author = {Djeridane, Badis},
abstractNote = {We deal with the problem of computing viability sets for nonlinear continuous or hybrid systems. Our main objective is to beat the curse of dimensionality, that is, we want to avoid the exponential growth of required computational resource with respect to the dimension of the system. We propose a randomized approach for viability computation: we avoid griding the state-space, use random extraction of points instead, and the computation of viable set test is formulated as a classical feasibility problem. This algorithm was implemented successfully to linear and nonlinear examples. We provide comparison of our results with results of other method.},
doi = {10.1063/1.2953001},
url = {https://www.osti.gov/biblio/21143563},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1019,
place = {United States},
year = {Thu Jun 12 00:00:00 EDT 2008},
month = {Thu Jun 12 00:00:00 EDT 2008}
}
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