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Volumn 1790, Issue , 2000, Pages 45-58

Optimization-based verification and stability characterization of piecewise affine and hybrid systems

Author keywords

[No Author keywords available]

Indexed keywords

HYBRID SYSTEMS; LINEAR PROGRAMMING; TRAJECTORIES;

EID: 84974658241     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46430-1_8     Document Type: Conference Paper
Times cited : (96)

References (28)
  • 1
    • 0000050873 scopus 로고
    • Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems
    • A.P. Ravn R.L. Grossman, A. Nerode and H. Rischel, editors, Springer Verlag
    • R. Alur, C. Courcoubetis, T.A. Henzinger, and P.-H. Ho. Hybrid automata: an algorithmic approach to the specification and verification of hybrid systems. In A.P. Ravn R.L. Grossman, A. Nerode and H. Rischel, editors, Hybrid Systems, volume 736 of Lecture Notes in Computer Science, pages 209-229. Springer Verlag, 1993.
    • (1993) Hybrid Systems, Volume 736 of Lecture Notes in Computer Science , pp. 209-229
    • Alur, R.1    Courcoubetis, C.2    Henzinger, T.A.3    Ho, P.-H.4
  • 2
    • 0029637375 scopus 로고
    • On the analysis of dynamical systems having piecewise-constant derivatives
    • A. Asarin, O. Maler, and A. Pnueli. On the analysis of dynamical systems having piecewise-constant derivatives. Theoretical Computer Science, 138:35-65, 1995.
    • (1995) Theoretical Computer Science , vol.138 , pp. 35-65
    • Asarin, A.1    Maler, O.2    Pnueli, A.3
  • 5
    • 0033097938 scopus 로고    scopus 로고
    • Control of systems integrating logic, dynamics, and constraints
    • March
    • A. Bemporad and M. Morari. Control of systems integrating logic, dynamics, and constraints. Automatica, 35(3):407-427, March 1999.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 407-427
    • Bemporad, A.1    Morari, M.2
  • 9
    • 0033100637 scopus 로고    scopus 로고
    • Complexity of stability and controllability of elementary hybrid systems
    • V.D. Blondel and J.N. Tsitsiklis. Complexity of stability and controllability of elementary hybrid systems. Automatica, 35:479-489, March 1999.
    • (1999) Automatica , vol.35 , pp. 479-489
    • Blondel, V.D.1    Tsitsiklis, J.N.2
  • 11
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • M. S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automatic Control, 43(4):475-482, April 1998.
    • (1998) IEEE Trans. Automatic Control , vol.43 , Issue.4 , pp. 475-482
    • Branicky, M.S.1
  • 12
    • 0004204352 scopus 로고    scopus 로고
    • Institute for operations Research ETHZentrum, ETH-Zentrum, CH-8092 Zurich, Switzerland, 0.61 (cdd) 0.75 (cdd+) edition, December
    • K. Fukuda. cdd/cdd+ Reference Manual. Institute for operations Research ETHZentrum, ETH-Zentrum, CH-8092 Zurich, Switzerland, 0.61 (cdd) 0.75 (cdd+) edition, December 1997.
    • (1997) Cdd/Cdd+ Reference Manual
    • Fukuda, K.1
  • 13
    • 0029203134 scopus 로고
    • Maximal output admissible sets for discretetime systems with disturbance inputs
    • E.G. Gilbert and I. Kolmanovsky. Maximal output admissible sets for discretetime systems with disturbance inputs. In Proc. American Contr. Conf., pages 2000-2005, 1995.
    • (1995) Proc. American Contr. Conf , pp. 2000-2005
    • Gilbert, E.G.1    Kolmanovsky, I.2
  • 14
    • 0026222290 scopus 로고
    • Linear systems with state and control constraints: The theory and applications of maximal output admissible sets
    • E.G. Gilbert and K. Tin Tan. Linear systems with state and control constraints: the theory and applications of maximal output admissible sets. IEEE Trans. Automatic Control, 36(9):1008-1020, 1991.
    • (1991) IEEE Trans. Automatic Control , vol.36 , Issue.9 , pp. 1008-1020
    • Gilbert, E.G.1    Tin Tan, K.2
  • 16
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piece-wise quadratic Lyapunov functions for hybrid systems
    • M. Johannson and A. Rantzer. Computation of piece-wise quadratic Lyapunov functions for hybrid systems. IEEE Trans. Automatic Control, 43(4):555-559, 1998.
    • (1998) IEEE Trans. Automatic Control , vol.43 , Issue.4 , pp. 555-559
    • Johannson, M.1    Rantzer, A.2
  • 17
    • 0030652886 scopus 로고    scopus 로고
    • Robust stability of piecewise linear discrete time systems
    • Evanston, IL, USA
    • M. Kantner. Robust stability of piecewise linear discrete time systems. In Proc. American Contr. Conf., pages 1241-1245, Evanston, IL, USA, 1997.
    • (1997) Proc. American Contr. Conf , pp. 1241-1245
    • Kantner, M.1
  • 18
    • 0038096571 scopus 로고
    • Integration graphs: A class of decidable hybrid systems
    • R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rischel, editors, Springer Verlag
    • Y. Kesten, A. Pnueli, J. Sifakis, and S. Yovine. Integration graphs: a class of decidable hybrid systems. In R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rischel, editors, Hybrid Systems, volume 736 of Lecture Notes in Computer Science, pages 179-208. Springer Verlag, 1993.
    • (1993) Hybrid Systems, Volume 736 of Lecture Notes in Computer Science , pp. 179-208
    • Kesten, Y.1    Pnueli, A.2    Sifakis, J.3    Yovine, S.4
  • 20
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. Liberzon and A.S. Morse. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5):59-70, October 1999.
    • (1999) IEEE Control Systems Magazine , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 22
    • 0033100636 scopus 로고    scopus 로고
    • Controllers for reachability specifications for hybrid systems
    • J. Lygeros, C. Tomlin, and S. Sastry. Controllers for reachability specifications for hybrid systems. Automatica, 35(3):349-370, 1999.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 349-370
    • Lygeros, J.1    Tomlin, C.2    Sastry, S.3
  • 23
    • 0026108291 scopus 로고
    • Relation between milp modeling and logical inference for chemical process synthesis
    • R. Raman and I. E. Grossmann. Relation between milp modeling and logical inference for chemical process synthesis. Computers Chem. Engng., 15(2):73-84, 1991.
    • (1991) Computers Chem. Engng , vol.15 , Issue.2 , pp. 73-84
    • Raman, R.1    Grossmann, I.E.2
  • 24
    • 0029533570 scopus 로고
    • From linear to nonlinear: Some complexity comparisons
    • E. Sontag. From linear to nonlinear: Some complexity comparisons. In Proc. 34th IEEE Conf. on Decision and Control, pages 2916-2920, 1995.
    • (1995) Proc. 34Th IEEE Conf. on Decision and Control , pp. 2916-2920
    • Sontag, E.1
  • 25
    • 0019559589 scopus 로고
    • Nonlinear regulation: The piecewise linear approach
    • April
    • E. D. Sontag. Nonlinear regulation: The piecewise linear approach. IEEE Trans. Automatic Control, 26(2):346-358, April 1981.
    • (1981) IEEE Trans. Automatic Control , vol.26 , Issue.2 , pp. 346-358
    • Sontag, E.D.1
  • 26
    • 84958050603 scopus 로고    scopus 로고
    • Interconnected automata and linear systems: A theoretical framework in discrete-time
    • R. Alur, T.A. Henzinger, and E.D. Sontag, editors, Springer-Verlag
    • E.D. Sontag. Interconnected automata and linear systems: A theoretical framework in discrete-time. In R. Alur, T.A. Henzinger, and E.D. Sontag, editors, Hybrid Systems III - Verification and Control, number 1066 in Lecture Notes in Computer Science, pages 436-448. Springer-Verlag, 1996.
    • (1996) Hybrid Systems III - Verification and Control, Number 1066 in Lecture Notes in Computer Science , pp. 436-448
    • Sontag, E.D.1
  • 27
    • 0033115935 scopus 로고    scopus 로고
    • Propositional logic in control and monitoring problems
    • M.L. Tyler and M. Morari. Propositional logic in control and monitoring problems. Automatica, 35(4):565-582, 1999.
    • (1999) Automatica , vol.35 , Issue.4 , pp. 565-582
    • Tyler, M.L.1    Morari, M.2
  • 28
    • 0017478092 scopus 로고
    • Variable structure systems with sliding modes
    • April
    • V. I. Utkin. Variable structure systems with sliding modes. IEEE Trans. Automatic Control, 22(2):212-222, April 1977.
    • (1977) IEEE Trans. Automatic Control , vol.22 , Issue.2 , pp. 212-222
    • Utkin, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.