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- Ian M. Mitchell, Alexandre M. Bayen, Claire J. Tomlin
- IEEE Transactions on Automatic Control
- 2005

We describe and implement an algorithm for computing the set of reachable states of a continuous dynamic game. The algorithm is based on a proof that the reachable set is the zero sublevel set of the… (More)

The growing need of the driving public for accurate traffic information has spurred the deployment of large scale dedicated monitoring infrastructure systems, which mainly consist in the use of… (More)

- Claire J. Tomlin, Ian M. Mitchell, Alexandre M. Bayen, Meeko M. K. Oishi
- Proceedings of the IEEE
- 2003

Hybrid system theory lies at the intersection of the fields of engineering control theory and computer science verification. It is defined as the modeling, analysis, and control of systems which… (More)

- Baik Hoh, Marco Gruteser, +6 authors Quinn Jacobson
- MobiSys
- 2008

Automotive traffic monitoring using probe vehicles with Global Positioning System receivers promises significant improvements in cost, coverage, and accuracy. Current approaches, however, raise… (More)

Daniel B. Work1, Sébastien Blandin1, Olli-Pekka Tossavainen1, Benedetto Piccoli2,3, and Alexandre M. Bayen4 1Systems Engineering, Department of Civil and Environmental Engineering, University of… (More)

- Saurabh Amin, Xavier Litrico, S. Shankar Sastry, Alexandre M. Bayen
- IEEE Transactions on Control Systems Technology
- 2013

This brief aims to perform security threat assessment of networked control systems with regulatory and supervisory control layers. We analyze the performance of a proportional-integral controller… (More)

- Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre
- Proceedings of the 48h IEEE Conference on…
- 2008

This conference paper is a summary of the article “Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints”, J.-P. Aubin, A. Bayen, P. Saint-Pierre, SIAM Journal on Control… (More)

- Christian G. Claudel, Alexandre M. Bayen
- IEEE Transactions on Automatic Control
- 2010

This article proposes a new approach for computing a semi-explicit form of the solution to a class of Hamilton-Jacobi (HJ) partial differential equations (PDEs), using control techniques based on… (More)

Cell-phones equipped with a global positioning system (GPS) provide new opportunities for location-based services and traffic estimation. When traveling on-board vehicles, these phones can be used to… (More)

- Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
- IEEE Transactions on Automatic Control
- 2012

We consider the initial-boundary value problem governed by systems of linear hyperbolic partial differential equations in the canonical diagonal form and study conditions for exponential stability… (More)