메뉴 건너뛰기




Volumn 34, Issue 3, 1996, Pages 813-832

Dynamic pole assignment and schubert calculus

Author keywords

Degree of variety; Dynamic compensator; Holomorphic curves in Grassmannian; Output feedback pole assignment

Indexed keywords

ALGEBRA; FEEDBACK CONTROL; GEOMETRY; LARGE SCALE SYSTEMS; LINEAR CONTROL SYSTEMS;

EID: 0030150763     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S036301299325270X     Document Type: Article
Times cited : (30)

References (31)
  • 1
    • 84972219054 scopus 로고
    • On the Lusternik-Šnirel' mann category of real Grassmannians
    • I. BERSTEIN, On the Lusternik-Šnirel' mann category of real Grassmannians, Proc. Cambridge Philos. Soc., 79 (1976), pp. 129-239.
    • (1976) Proc. Cambridge Philos. Soc. , vol.79 , pp. 129-239
    • Berstein, I.1
  • 4
    • 0019533484 scopus 로고
    • Multivariable Nyquist criteria, root loci and pole placement: A geometric viewpoint
    • R. W. BROCKETT AND C. I. BYRNES, Multivariable Nyquist criteria, root loci and pole placement: A geometric viewpoint, IEEE Trans. Automat. Control, AC-26 (1981), pp. 271-284.
    • (1981) IEEE Trans. Automat. Control , vol.AC-26 , pp. 271-284
    • Brockett, R.W.1    Byrnes, C.I.2
  • 5
    • 0020951582 scopus 로고
    • On compactifications of spaces of systems and dynamic compensation
    • San Antonio, TX
    • C. I. BYRNES, On compactifications of spaces of systems and dynamic compensation, in IEEE Conf. on Decision and Control, vol. 4, San Antonio, TX, 1983, pp. 889-894.
    • (1983) IEEE Conf. on Decision and Control , vol.4 , pp. 889-894
    • Byrnes, C.I.1
  • 6
    • 85033848147 scopus 로고
    • On Various Topologies for Finite-Dimensional Linear Systems
    • University of Bremen, Germany
    • H. GLÜSING-LÜERSSEN, On Various Topologies for Finite-Dimensional Linear Systems, Tech. Report 273, University of Bremen, Germany, 1992.
    • (1992) Tech. Report 273
    • Glüsing-Lüerssen, H.1
  • 7
    • 0000144406 scopus 로고
    • Algebraic Geometry, a First Course
    • Springer-Verlag, New York, Berlin
    • J. HARRIS, Algebraic Geometry, A First Course, Graduate Text in Mathematics, Springer-Verlag, New York, Berlin, 1992.
    • (1992) Graduate Text in Mathematics
    • Harris, J.1
  • 10
    • 0004280882 scopus 로고
    • Ph.D. thesis, Centrum voor Wiskunde en Informatica, Amsterdam, the Netherlands
    • M. KUIJPER, First-Order Representation of Linear Systems, Ph.D. thesis, Centrum voor Wiskunde en Informatica, Amsterdam, the Netherlands, 1992.
    • (1992) First-Order Representation of Linear Systems
    • Kuijper, M.1
  • 11
    • 0004205061 scopus 로고
    • Cambridge University Press, Cambridge
    • M. P. MACMAHON, Combinatory Analysis, vol. I, Cambridge University Press, Cambridge, 1915.
    • (1915) Combinatory Analysis , vol.1
    • MacMahon, M.P.1
  • 12
    • 0000432091 scopus 로고
    • Applications of algebraic geometry to system theory: The McMillan degree and Kronecker indices as topological and holomorphic invariants
    • C. F. MARTIN AND R. HERMANN, Applications of algebraic geometry to system theory: The McMillan degree and Kronecker indices as topological and holomorphic invariants, SIAM J. Control Optim., 16 (1978), pp. 743-755.
    • (1978) SIAM J. Control Optim. , vol.16 , pp. 743-755
    • Martin, C.F.1    Hermann, R.2
  • 14
    • 0001265094 scopus 로고
    • A smooth compactification of the space of transfer functions with fixed McMillan degree
    • M. S. RAVI AND J. ROSENTHAL, A smooth compactification of the space of transfer functions with fixed McMillan degree, Acta Appl. Math, 34 (1994), pp. 329-352.
    • (1994) Acta Appl. Math , vol.34 , pp. 329-352
    • Ravi, M.S.1    Rosenthal, J.2
  • 16
    • 5244263546 scopus 로고
    • On minimal order dynamical compensators of low order systems
    • Hermes, France
    • J. ROSENTHAL, On minimal order dynamical compensators of low order systems, in Proc. of European Control Conference, Hermes, France, 1991, pp. 374-378.
    • (1991) Proc. of European Control Conference , pp. 374-378
    • Rosenthal, J.1
  • 17
    • 0028202303 scopus 로고
    • On dynamic feedback compensation and compactification of systems
    • _, On dynamic feedback compensation and compactification of systems, SIAM J. Control Optim., 32 (1994), pp. 279-296.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 279-296
  • 19
    • 0004214587 scopus 로고
    • Transformations of linear systems under external equivalence
    • J. M. SCHUMACHER, Transformations of linear systems under external equivalence, Linear Algebra Appl., 102 (1988), pp. 1-33.
    • (1988) Linear Algebra Appl. , vol.102 , pp. 1-33
    • Schumacher, J.M.1
  • 20
    • 0026644935 scopus 로고
    • A pointwise criterion for controller robustness
    • _, A pointwise criterion for controller robustness, Systems Control Lett., 18 (1992), pp. 1-8.
    • (1992) Systems Control Lett. , vol.18 , pp. 1-8
  • 23
    • 0003200154 scopus 로고
    • Some combinatorial aspects of the Schubert calculus
    • Springer-Verlag, Berlin, New York
    • R. STANLEY, Some combinatorial aspects of the Schubert calculus, in Lecture Notes in Mathematics vol. 579, Springer-Verlag, Berlin, New York, 1977, pp. 217-251.
    • (1977) Lecture Notes in Mathematics , vol.579 , pp. 217-251
    • Stanley, R.1
  • 24
    • 0002005271 scopus 로고
    • Topological mirrors and quantum rings
    • S. T. Yau, ed., International Press, Hong Kong
    • C. VAFA, Topological mirrors and quantum rings, in Essays on Mirror Manifolds, S. T. Yau, ed., International Press, Hong Kong, 1992.
    • (1992) Essays on Mirror Manifolds
    • Vafa, C.1
  • 25
    • 0001347946 scopus 로고
    • Pole placement by static output feedback
    • X. WANG, Pole placement by static output feedback, J. Math. Systems Estim. Control, 2 (1992), pp. 205-218.
    • (1992) J. Math. Systems Estim. Control , vol.2 , pp. 205-218
    • Wang, X.1
  • 26
    • 21344477156 scopus 로고
    • A cell structure for the set of autoregressive systems
    • X. WANG AND J. ROSENTHAL, A cell structure for the set of autoregressive systems, Linear Algebra Appl., 205/206 (1994), pp. 1203-1226.
    • (1994) Linear Algebra Appl. , vol.205-206 , pp. 1203-1226
    • Wang, X.1    Rosenthal, J.2
  • 27
    • 0006805652 scopus 로고
    • Input-output and state-space representations of finite-dimensional linear time-invariant systems
    • J. C. WILLEMS, Input-output and state-space representations of finite-dimensional linear time-invariant systems, Linear Algebra Appl., 50 (1983), pp. 581-608.
    • (1983) Linear Algebra Appl. , vol.50 , pp. 581-608
    • Willems, J.C.1
  • 28
    • 0026119885 scopus 로고
    • Paradigms and puzzles in the theory of dynamical systems
    • _, Paradigms and puzzles in the theory of dynamical systems, IEEE Trans. Automat. Control, AC-36 (1991), pp. 259-294.
    • (1991) IEEE Trans. Automat. Control , vol.AC-36 , pp. 259-294
  • 29
    • 0008761560 scopus 로고
    • Feedback in a behavioral setting
    • Birkhäuser-Verlag, Basel, Switzerland
    • _, Feedback in a behavioral setting, in Systems, Models and Feedback: Theory and Applications, Birkhäuser-Verlag, Basel, Switzerland, 1992, pp. 179-191.
    • (1992) Systems, Models and Feedback: Theory and Applications , pp. 179-191
  • 30
    • 0002775827 scopus 로고
    • Generic properties of the pole placement problem
    • J. C. WILLEMS AND W. H. HESSELINK, Generic properties of the pole placement problem, in Proc. of the IFAC, 1978, pp. 1725-1729.
    • (1978) Proc. of the IFAC , pp. 1725-1729
    • Willems, J.C.1    Hesselink, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.