17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper MoP08.5

Azuma, Shun-ichi (Kyoto Univ.), Yanagisawa, Eriko ( Tokyo Inst. of Tech.), Imura, Jun-ichi (Tokyo Inst. of Tech.)

Probabilistic Approach to Controllable State Set Problem of Hybrid Systems and Its Application to Luminescence Bacterium

Scheduled for presentation during the Mini-Symposium "Randomized and Probabilistic Techniques for Complex Systems Design" (MoP08), Monday, July 24, 2006, 17:00−17:25, Room I

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on March 29, 2024

Keywords Randomized algorithm in system theory, Control of hybrid systems, Biological systems analysis

Abstract

In this paper, the probabilistic controllability analysis, which has been recently proposed by the authors for the controllability problem of hybrid systems (discrete-time piecewise affine systems), is extended to the controllable state set problem, that is, the problem of finding the set of the controllable initial state. First, the existing probabilistic approach to approximately determine if the system is controllable or not is surveyed. Next, as a natural extension of this method, a probabilistic technique for approximately computing the controllable state set is derived. Finally, our approach is applied to a gene network of bioluminescence in the marine bacterium Vibrio fischeri as an simple example to show that the probabilistic method is powerful.