Abstract
Given a heuristic estimate of the relative safety of a hybrid dynamical system trajectory, we transform the initial safety problem for dynamical systems into a global optimization problem. We compare untuned performance of several Simulated Annealing and Multi Level Single Linkage method variants, and discuss the dynamic use of knowledge gained during optimization.
This work was supported by the Defense Advanced Research Projects Agency and the National Institute of Standards and Technology under Cooperative Agreement 70NANB6H0075, “Model-Based Support of Distributed Collaborative Design”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Albert C. Leenhouts. Step Motor System Design Handbook. Litchfield Engineering, Kingman, Arizona, USA, 1991.
N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller. Equation of state calculations by fast computing machines. J. Chem. Phys., 21(6):1087–1092, 1953.
S. Kirkpatrick, C.D. Gelatt, and M.P. Vecchi. Optimization by simulated annealing. Science, 220:671–680, 1983.
William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes in C: the art of scientific computing-2nd Ed. Cambridge University Press, Cambridge, 1992.
William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes Example Book (C)-2nd Ed. Cambridge University Press, Cambridge, 1992.
Lester Ingber. Adaptive simulated annealing (ASA): Lessons learned. Control and Cybernetics, 25(1):33–54, 1996.
Rutvik Desai and Rajendra Patil. SALO: combining simulated annealing and local optimization for efficient global optimization. In J.H. Stewman, editor, Proceedings of the 9th Florida AI Research Symposium (FLAIRS-’96), pages 233–237, St. Petersburg, FL, USA, 1996. Eckerd Coll.
A.H.G. Rinnooy Kan and G.T. Timmer. Stochastic global optimization methods; part II: clustering methods. Mathematical Programming, 39:57–78,000 1987.
Andrew Grace. Optimization Toolbox. The Mathworks Inc., 24 Prime Park Way, Natick, MA 01760-1500 USA.
Dinez Yuret. From genetic algorithms to efficient optimization. Master’s thesis, Massachusetts Institute of Technology, May 1994.
F.H. Branin. Widely convergent method for_nding multiple solutions of simultaneous nonlinear equations. I.B.M. J.R&D., Sept 1972.
A. Corana, M. Marchesi, C. Martini, and S. Ridella. Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm. ACM Trans. Mathl. Software, 13(3):262–279, 1987.
A.H.G. Rinnooy Kan and G.T. Timmer. Stochastic global optimization methods; part I: multi level methods. Mathematical Programming, 39:27–56, 1987.
C. Guus E. Boender and H. Edwin Romeijn. Stochastic methods. In Horst and Pardalos [15], pages 829–869.
Reiner Horst and Ranos M. Pardalos, editors. Handbook of Global Optimization. Kluwer Academic, Dordrecht, Netherlands, 1995.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Neller, T.W. (1999). Heuristic Optimization and Dynamical System Safety Verification. In: Antsaklis, P., Lemmon, M., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems V. HS 1997. Lecture Notes in Computer Science, vol 1567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49163-5_14
Download citation
DOI: https://doi.org/10.1007/3-540-49163-5_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65643-2
Online ISBN: 978-3-540-49163-7
eBook Packages: Springer Book Archive