Algorithmic analysis of nonlinear hybrid systems

T.A. Henzinger, P. Ho, H. Wong Toi, IEEE Transactions on Automatic Control 43 (1998) 540–554.

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Abstract
We present two methods for translating nonlinear hybrid systems into linear hybrid automata. Properties of the nonlinear systems can then be inferred from the automatic analysis of the translated linear hybrid automata. The first method, called clock translation, replaces constraints on nonlinear variables by constraints on clock variables. The second method, called linear phase-portrait approximation, conservatively overapproximates the phase portrait of a hybrid automaton using piecewise-constant polyhedral differential inclusions. Both methods are sound for safety properties. We illustrate both methods by using HYTECH, a symbolic model checker for linear hybrid automata, to automatically check properties of a nonlinear temperature controller and of a predator-prey ecology
Publishing Year
Date Published
1998-01-01
Journal Title
IEEE Transactions on Automatic Control
Volume
43
Issue
4
Page
540 - 554
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Henzinger TA, Ho P, Wong Toi H. Algorithmic analysis of nonlinear hybrid systems. IEEE Transactions on Automatic Control. 1998;43(4):540-554. doi:10.1109/9.664156
Henzinger, T. A., Ho, P., & Wong Toi, H. (1998). Algorithmic analysis of nonlinear hybrid systems. IEEE Transactions on Automatic Control, 43(4), 540–554. https://doi.org/10.1109/9.664156
Henzinger, Thomas A, Pei Ho, and Howard Wong Toi. “Algorithmic Analysis of Nonlinear Hybrid Systems.” IEEE Transactions on Automatic Control 43, no. 4 (1998): 540–54. https://doi.org/10.1109/9.664156 .
T. A. Henzinger, P. Ho, and H. Wong Toi, “Algorithmic analysis of nonlinear hybrid systems,” IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 540–554, 1998.
Henzinger TA, Ho P, Wong Toi H. 1998. Algorithmic analysis of nonlinear hybrid systems. IEEE Transactions on Automatic Control. 43(4), 540–554.
Henzinger, Thomas A., et al. “Algorithmic Analysis of Nonlinear Hybrid Systems.” IEEE Transactions on Automatic Control, vol. 43, no. 4, IEEE, 1998, pp. 540–54, doi:10.1109/9.664156 .

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