Solving Reachability Problems by a Scalable Constrained Optimization Method
Result description
In this paper we consider the problem of finding an evolution of a dynamical system that originates and terminates in given sets of states. However, if such an evolution exists then it is usually not unique. We investigate this problem and find a scalable approach for solving it. In addition, the resulting saddle-point matrix is sparse. We exploit the structure in order to reach an efficient implementation of our method. In computational experiments we compare line search and trust-region methods as well as various methods for Hessian approximation.
Keywords
OptimizationDynamical systemsBoundary value problemsSequential quadratic programmingReachability
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/00216208:11320/20:10426475
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Solving Reachability Problems by a Scalable Constrained Optimization Method
Original language description
In this paper we consider the problem of finding an evolution of a dynamical system that originates and terminates in given sets of states. However, if such an evolution exists then it is usually not unique. We investigate this problem and find a scalable approach for solving it. In addition, the resulting saddle-point matrix is sparse. We exploit the structure in order to reach an efficient implementation of our method. In computational experiments we compare line search and trust-region methods as well as various methods for Hessian approximation.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
GA15-14484S: Simulation-Based Computation of Robust Invariants of Hybrid Dynamical Systems
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Optimization and Engineering
ISSN
1389-4420
e-ISSN
—
Volume of the periodical
21
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
215-239
UT code for WoS article
000516560400009
EID of the result in the Scopus database
2-s2.0-85067233316
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Year of implementation
2020