A probabilistic approach to controllability/reachability analysis of hybrid systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2004, Pages 485-490

  Azuma, Shun Ichi ^a   Imura, Jun Ichi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROLLABILITY; DATA REDUCTION; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING; VECTORS;

HYBRID SYSTEMS; PIECEWISE AFFINE (PWA); RANDOMIZED ALGORITHMS; REACHABILITY ANALYSIS; SUBSYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 14344263184     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. V. D. Blondel and J. N. Tsitsiklis: Complexity of stability and controllability of elementary hybrid systems, Automatica, 35, pp. 479-489 (1999)
2. A. Bemporad er al.: Observability and controllability of piecewise affine and hybrid systems, IEEE TAC, 45, pp. 1864-1876 (2000)
3. A. Bemporad et al.: Optimization-based verification and stability characterization of piecewise affine and hybrid systems, Hybrid Systems: Computation and Control, pp. 45-58 (2000)
4. S. Azuma and I. Imura: Controllability of sampled-data piecewise affine systems, Proc. of IFAC Conf. on ADHS, pp. 129-134 (2003)
5. J. Imura: Optimal control of sampled-data piecewise affine systems, Automatica, 40, pp. 661-669 (2004)
6. S. Azuma and J. Imura: Probabilistic controllability analysis of sampled-data/discrete-time piecewise affine systems, Proc. of 2004 ACC, pp. 2528-2533 (2004)
7. R. Tempo et al.: Probabilistic robustness analysis: Explicit bounds for the minimum number of samples, Systems & Control Lett., 30, pp. 237-242 (1997)
8. P. Khargonekar and A. Tikku: Randomized algorithms for robust control analysis and synthesis have polynomial complexity, Proc. of 35th CDC, pp. 3470-3475 (1996)
9. S. M. Veres: The geometric bounding toolbox, User's manual & reference, SysBrain, UK (2001)