메뉴 건너뛰기




Volumn , Issue , 1997, Pages 1195-1200

Solvability of differential algebraic equations and inequalities: An algorithm

Author keywords

Differential algebra; Differential equations; Dynamic systems; Inequalities; Real algebra

Indexed keywords

DYNAMICAL SYSTEMS; POLYNOMIALS;

EID: 84949092315     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082262     Document Type: Conference Paper
Times cited : (10)

References (14)
  • 1
    • 0021521367 scopus 로고
    • Cylindrical algebraic decomposition i: The basic algorithm
    • D. S. Arnon, G. E. Collins, and S. McCallum. Cylindrical algebraic decomposition i: The basic algorithm. SIAM J. Comput, 13:865-889, 1984.
    • (1984) SIAM J. Comput , vol.13 , pp. 865-889
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 2
    • 0021522643 scopus 로고
    • Cylindrical algebraic decomposition ii: An adjacency algorithm for the plane
    • D. S. Arnon, G. E. Collins, and S. McCallum. Cylindrical algebraic decomposition ii: An adjacency algorithm for the plane. SIAM J. Comput, 13:878-889, 1984.
    • (1984) SIAM J. Comput , vol.13 , pp. 878-889
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 4
    • 80051617857 scopus 로고
    • A state elimination procedure for nonlinear systems
    • J. Descusse, M. Fliess, A. Isidori, and D. Leborgne, editors, Springer
    • S. Diop. A state elimination procedure for nonlinear systems. In J. Descusse, M. Fliess, A. Isidori, and D. Leborgne, editors, New trends in Nonlinear Control Theory, Lect. Notes Control Inform. Sci. 122, pages 190-198. Springer, 1989.
    • (1989) New Trends in Nonlinear Control Theory, Lect. Notes Control Inform. Sci , vol.122 , pp. 190-198
    • Diop, S.1
  • 5
    • 0026049994 scopus 로고
    • Elimination in control theory
    • S. Diop. Elimination in control theory. Math. Control Signals Systems, 4:17-32, 1991.
    • (1991) Math. Control Signals Systems , vol.4 , pp. 17-32
    • Diop, S.1
  • 6
    • 0000219870 scopus 로고
    • An algebraic approach to linear and nonlinear control
    • H. L. Trentelman and J. C. Willems, editors, Birkhauser
    • M. Fliess and S. T. Glad. An algebraic approach to linear and nonlinear control. In H. L. Trentelman and J. C. Willems, editors, Essays on control: Perspectives in the theory and its applications., pages 223-267. Birkhauser, 1993.
    • (1993) Essays on Control: Perspectives in the Theory and its applications. , pp. 223-267
    • Fliess, M.1    Glad, S.T.2
  • 7
    • 55649101399 scopus 로고
    • Questioning the classical state space description via circuit examples
    • M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, editors, Birkhuser
    • M. Fliess and M. Hasler. Questioning the classical state space description via circuit examples. In M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, editors, Realization and Modelling in System Theory, pages 1-12. Birkhuser, 1990.
    • (1990) Realization and Modelling in System Theory , pp. 1-12
    • Fliess, M.1    Hasler, M.2
  • 8
    • 0002177368 scopus 로고
    • Differential algebraic modelling of nonlinear systems
    • M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, editors, Birkhuser
    • S. T. Glad. Differential algebraic modelling of nonlinear systems. In M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, editors, Realization and Modelling in System Theory, pages 97-105. Birkhuser, 1990.
    • (1990) Realization and Modelling in System Theory , pp. 97-105
    • Glad, S.T.1
  • 9
    • 85072982162 scopus 로고
    • Implementing Ritt's algorithm of differential algebra
    • Bordeaux, France, June
    • S. T. Glad. Implementing Ritt's algorithm of differential algebra. In IFAC Symposium on Control Systems Design, NOLCOS'92, pages 610-614, Bordeaux, France, June 1992.
    • (1992) IFAC Symposium on Control Systems Design, NOLCOS'92 , pp. 610-614
    • Glad, S.T.1
  • 12
    • 0004119251 scopus 로고
    • American Mathematical Society, Providence, R I
    • J. F. Ritt. Differential Algebra. American Mathematical Society, Providence, R I, 1950.
    • (1950) Differential Algebra
    • Ritt, J.F.1
  • 13
    • 0002466664 scopus 로고
    • An elimination theory for differential algebra
    • F. Wolf, J. L. Hodges, and A. Seidenberg, editors, University of California Press, Berkeley and Los Angeles, California
    • A. Seidenberg. An elimination theory for differential algebra. In F. Wolf, J. L. Hodges, and A. Seidenberg, editors, University of California Publications in Mathematics: New Series, pages 31-66. University of California Press, Berkeley and Los Angeles, California, 1956.
    • (1956) University of California Publications in Mathematics: New Series , pp. 31-66
    • Seidenberg, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.