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Timed automata with observers under energy constraints

Published: 12 April 2010 Publication History

Abstract

In this paper we study one-clock priced timed automata in which prices can grow linearly (dp/dt = k) or exponentially (dp/dt = kp), with discontinuous updates on edges. We propose EXPTIME algorithms to decide the existence of controllers that ensure existence of infinite runs or reachability of some goal location with non-negative observer value all along the run. These algorithms consist in computing the optimal delays that should be elapsed in each location along a run, so that the final observer value is maximized (and never goes below zero).

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R. Alur, C. Courcoubetis, and Th. A. Henzinger. Computing accumulated delays in real-time systems. In Proc. 5th Intl Cond. Computer Aided Verification (CAV'93), volume 697 of Lecture Notes in Computer Science, pages 181--193. Springer, 1993.
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R. Alur, S. La Torre, and G. J. Pappas. Optimal paths in weighted timed automata. In Proc. 4th Intl Workshop Hybrid Systems: Computation and Control (HSCC'01), volume 2034 of Lecture Notes in Computer Science, pages 49--62. Springer, 2001.
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      cover image ACM Conferences
      HSCC '10: Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
      April 2010
      308 pages
      ISBN:9781605589558
      DOI:10.1145/1755952
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      Published: 12 April 2010

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      Author Tags

      1. energy constraints
      2. weighted timed automata

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