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Volumn 9781400826155, Issue , 2009, Pages 315-320

Vector-valued quadratic forms in control theory

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL ENGINEERING;

EID: 84884836832     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (9)

References (14)
  • 1
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    • The topology of quadratic mappings and Hessians of smooth mappings
    • A. A. Agračhe, "The topology of quadratic mappings and Hessians of smooth mappings," J. Soviet Math., 49(3):990-1013, 1990.
    • (1990) J. Soviet Math. , vol.49 , Issue.3 , pp. 990-1013
    • Agračhe, A.A.1
  • 2
    • 0007932139 scopus 로고
    • Quadratic mappings in geometric control theory
    • A. A. Agračhev, "Quadratic mappings in geometric control theory," J. Soviet Math., 51(6):2667-2734, 1990.
    • (1990) J. Soviet Math. , vol.51 , Issue.6 , pp. 2667-2734
    • Agračhev, A.A.1
  • 3
    • 33750524542 scopus 로고
    • Quadratic mappings and vector functions: Euler characteristics of level sets
    • A. A. Agračhev and R. V. Gamkrelidze, "Quadratic mappings and vector functions: Euler characteristics of level sets," J. Soviet Math., 55(4):1892-1928, 1991.
    • (1991) J. Soviet Math. , vol.55 , Issue.4 , pp. 1892-1928
    • Agračhev, A.A.1    Gamkrelidze, R.V.2
  • 5
    • 0000666655 scopus 로고
    • On the optimal stabilization of nonlinear systems
    • È. G. Al'brekht, "On the optimal stabilization of nonlinear systems," J. Appl. Math. and Mech., 25:1254-1266, 1961.
    • (1961) J. Appl. Math. and Mech. , vol.25 , pp. 1254-1266
    • Al'brekht, E.G.1
  • 6
    • 0001430656 scopus 로고    scopus 로고
    • Second-order conditions for local controllability
    • J. Basto-Gonçcalves, "Second-order conditions for local controllability," Systems Control Lett., 35(5):287-290, 1998.
    • (1998) Systems Control Lett. , vol.35 , Issue.5 , pp. 287-290
    • Basto-Gonçcalves, J.1
  • 7
    • 84884866657 scopus 로고    scopus 로고
    • Constructive controllability algorithms for motion planning and optimization
    • Forethcoming
    • W. T. Cerven and F. Bullo, "Constructive controllability algorithms for motion planning and optimization," IEEE Trans Automat Control, Forethcoming.
    • IEEE Trans Automat Control
    • Cerven, W.T.1    Bullo, F.2
  • 8
    • 10344240568 scopus 로고
    • On linear combinations of quadratic forms
    • L. L. Dines, "On linear combinations of quadratic forms," Bull. Amer. Math. Soc. (N.S.), 49:388-393, 1943.
    • (1943) Bull. Amer. Math. Soc. (N.S.) , vol.49 , pp. 388-393
    • Dines, L.L.1
  • 9
    • 0016544329 scopus 로고
    • On the nonlinear regulator problem
    • A. Halme, "On the nonlinear regulator problem," J. Optim. Theory Appl., 16(3-4):255-275, 1975.
    • (1975) J. Optim. Theory Appl. , vol.16 , Issue.3-4 , pp. 255-275
    • Halme, A.1
  • 10
    • 0003686930 scopus 로고
    • Number 133 in Graduate Texts in Mathematics, Springer-Verlag, New York Heidelberg Berlin
    • J. Harris, Algebraic Geometry: A First Course, Number 133 in Graduate Texts in Mathematics, Springer-Verlag, New York Heidelberg Berlin, 1992.
    • (1992) Algebraic Geometry: A First Course
    • Harris, J.1
  • 11
    • 0013264711 scopus 로고    scopus 로고
    • Geometric local controllability:Second-order conditions
    • preprint, February
    • R. M. Hirschorn and A. D. Lewis, "Geometric local controllability:Second-order conditions," preprint, February 2002.
    • Hirschorn, R.M.1    Lewis, A.D.2
  • 12
    • 0002370640 scopus 로고
    • Root systems, representations of quivers and invariant theory
    • number 996 in Lecture Notes in Mathematics, Springer-Verlag, New York-Heidelberg-Berlin
    • V. G. Kac, "Root systems, representations of quivers and invariant theory," In: Invariant Theory, number 996 in Lecture Notes in Mathematics, pages 74-108, Springer-Verlag, New York-Heidelberg-Berlin, 1983.
    • (1983) Invariant Theory , pp. 74-108
    • Kac, V.G.1
  • 13
    • 0002388028 scopus 로고    scopus 로고
    • Classification of pairs of symmetric and alternating bilinear forms
    • D. B. Leep and L. M. Schueller, "Classification of pairs of symmetric and alternating bilinear forms," Exposition. Math., 17(5):385-414, 1999.
    • (1999) Exposition. Math. , vol.17 , Issue.5 , pp. 385-414
    • Leep, D.B.1    Schueller, L.M.2
  • 14
    • 0027678191 scopus 로고
    • A necessary condition for dynamic feedback linearization
    • W. M. Sluis, "A necessary condition for dynamic feedback linearization," Systems Control Lett., 21(4):277-283, 1993.
    • (1993) Systems Control Lett. , vol.21 , Issue.4 , pp. 277-283
    • Sluis, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.