메뉴 건너뛰기




Volumn 44, Issue 4, 2005, Pages 1192-1214

Characterization of gradient control systems

Author keywords

Externally equivalent systems; Gradient control systems; Prolongation and gradient extension of a nonlinear system; Symmetric product

Indexed keywords

EXTERNALLY EQUIVALENT SYSTEMS; GRADIENT CONTROL SYSTEMS; PROLONGATION AND GRADIENT EXTENSION OF A NONLINEAR SYSTEM; SYMMETRIC PRODUCT;

EID: 33746039743     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903425568     Document Type: Review
Times cited : (45)

References (28)
  • 1
    • 84858926125 scopus 로고
    • Equivalence of gradient systems
    • University of Warwick, UK
    • J. BASTO GONÇALVES, Equivalence of Gradient Systems, Control Theory Centre Report 84, University of Warwick, UK, 1979.
    • (1979) Control Theory Centre Report , vol.84
    • Gonçalves, J.B.1
  • 2
    • 84858907383 scopus 로고
    • Equivalencia de sistemas de gradients
    • J. BASTO GONÇALVES, Equivalencia de sistemas de gradients, Port. Math., 40 (1981), pp. 263-277.
    • (1981) Port. Math. , vol.40 , pp. 263-277
    • Gonçalves, J.B.1
  • 3
    • 0023105445 scopus 로고
    • Realization theory for Hamiltonian systems
    • J. BASTO GONÇALVES, Realization theory for Hamiltonian systems, SIAM J. Control Optim., 25 (1987), pp. 63-73.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 63-73
    • Gonçalves, J.B.1
  • 4
    • 0001782325 scopus 로고
    • A theory of nonlinear networks, I
    • R.K. BRAYTON AND J.K. MOSER, A theory of nonlinear networks, I, Quart. Appl. Math., 22 (1964), pp. 1-33.
    • (1964) Quart. Appl. Math. , vol.22 , pp. 1-33
    • Brayton, R.K.1    Moser, J.K.2
  • 5
    • 0001782325 scopus 로고
    • A theory of nonlinear networks, II
    • R.K. BRAYTON AND J.K. MOSER, A theory of nonlinear networks, II, Quart. Appl. Math., 22 (1964), pp. 81-104.
    • (1964) Quart. Appl. Math. , vol.22 , pp. 81-104
    • Brayton, R.K.1    Moser, J.K.2
  • 6
    • 19944388162 scopus 로고
    • Lie algebras and linear differential equations
    • L. Weiss, ed., Academic Press, New York
    • R.W. BROCKETT AND A. RAHIMI, Lie algebras and linear differential equations, in Ordinary Differential Equations, L. Weiss, ed., Academic Press, New York, 1972, pp. 379-386.
    • (1972) Ordinary Differential Equations , pp. 379-386
    • Brockett, R.W.1    Rahimi, A.2
  • 7
    • 33746086753 scopus 로고    scopus 로고
    • Geometric control of mechanical systems
    • Springer-Verlag, New York
    • F. BULLO AND A.D. LEWIS, Geometric Control of Mechanical Systems, Text Appl. Math. 49, Springer-Verlag, New York, 2004.
    • (2004) Text Appl. Math. , vol.49
    • Bullo, F.1    Lewis, A.D.2
  • 10
    • 0019612867 scopus 로고
    • Geometric structures in systems theory
    • P.E. CROUCH, Geometric structures in systems theory, Proc. IEE-D, 128 (1981), pp. 242-252.
    • (1981) Proc. IEE-D , vol.128 , pp. 242-252
    • Crouch, P.E.1
  • 11
    • 0041713690 scopus 로고
    • On finite Volterra series which admit Hamiltonian realizations
    • P.E. CROUCH AND M. IRVING, On finite Volterra series which admit Hamiltonian realizations, Math. Systems Theory, 17 (1984), pp. 293-318.
    • (1984) Math. Systems Theory , vol.17 , pp. 293-318
    • Crouch, P.E.1    Irving, M.2
  • 14
    • 0017542851 scopus 로고
    • Nonlinear controllability and observability
    • R. HERMANN AND A.J. KRENER, Nonlinear controllability and observability, IEEE Trans. Automat. Control, AC-22 (1977), pp. 728-740.
    • (1977) IEEE Trans. Automat. Control , vol.AC-22 , pp. 728-740
    • Hermann, R.1    Krener, A.J.2
  • 15
    • 0023033735 scopus 로고
    • Hamiltonian realizations of nonlinear systems
    • C.I. Byrnes and A. Lindquist, eds., North-Holland, Amsterdam
    • B. JAKUBCZYK, Hamiltonian realizations of nonlinear systems, in Theory and Applications of Nonlinear Control Systems, C.I. Byrnes and A. Lindquist, eds., North-Holland, Amsterdam, 1986, pp. 261-271.
    • (1986) Theory and Applications of Nonlinear Control Systems , pp. 261-271
    • Jakubczyk, B.1
  • 17
    • 0032134149 scopus 로고    scopus 로고
    • Affine connections and distributions with applications to nonholonomic mechanics
    • A.D. LEWIS, Affine connections and distributions with applications to nonholonomic mechanics, Rep. Math. Phys., 42 (1998), pp. 135-164.
    • (1998) Rep. Math. Phys. , vol.42 , pp. 135-164
    • Lewis, A.D.1
  • 18
    • 0031143040 scopus 로고    scopus 로고
    • Configuration controllability of simple mechanical control systems
    • A.D. LEWIS AND R.M. MURRAY, Configuration controllability of simple mechanical control systems, SIAM J. Control Optim., 35 (1997), pp. 766-790.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 766-790
    • Lewis, A.D.1    Murray, R.M.2
  • 21
    • 0036344454 scopus 로고    scopus 로고
    • The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas's analysis
    • W. SARLET, G. THOMPSON, AND G.E. PRINCE, The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas's analysis, Trans. Amer. Math. Soc., 354 (2002), pp. 2897-2919.
    • (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 2897-2919
    • Sarlet, W.1    Thompson, G.2    Prince, G.E.3
  • 22
    • 0013312142 scopus 로고
    • System theoretic descriptions of physical systems
    • CWI, Amsterdam
    • A.J. VAN DER SCHAFT, System Theoretic Descriptions of Physical Systems, in CWI Tract 3, CWI, Amsterdam, 1984.
    • (1984) CWI Tract , vol.3
    • Van Der Schaft, A.J.1
  • 23
    • 0038122009 scopus 로고
    • Linearization of Hamiltonian and gradient systems
    • A.J. VAN DER SCHAFT, Linearization of Hamiltonian and gradient systems, IMA J. Math. Control Inform., 1 (1984), pp. 185-198.
    • (1984) IMA J. Math. Control Inform. , vol.1 , pp. 185-198
    • Van Der Schaft, A.J.1
  • 24
    • 0042382853 scopus 로고    scopus 로고
    • From nonlinear to Hamiltonian via feedback
    • P. TABUADA AND G.J. PAPPAS, From nonlinear to Hamiltonian via feedback, IEEE Trans. Automat. Control, 45 (2003), pp. 1439-1442.
    • (2003) IEEE Trans. Automat. Control , vol.45 , pp. 1439-1442
    • Tabuada, P.1    Pappas, G.J.2
  • 25
    • 33746035731 scopus 로고
    • Equivalent non-linear networks
    • Mathematical Aspects of Electrical Network Analysis (Proc. Sympos. Appl. Math., New York, 1969), AMS, Providence, RI
    • P. VARAIYA, Equivalent non-linear networks, in Mathematical Aspects of Electrical Network Analysis (Proc. Sympos. Appl. Math., New York, 1969), SIAM-AMS Proceedings, Vol. III, AMS, Providence, RI, 1971, pp. 141-147.
    • (1971) SIAM-AMS Proceedings , vol.3 , pp. 141-147
    • Varaiya, P.1
  • 26
    • 33746095475 scopus 로고
    • Ph.D. dissertation, University of California, Berkeley
    • T.P. VERMA, Equivalence of Nonlinear Networks, Ph.D. dissertation, University of California, Berkeley, 1969.
    • (1969) Equivalence of Nonlinear Networks
    • Verma, T.P.1
  • 27
    • 9144224584 scopus 로고
    • Dissipative dynamical systems, Part II
    • J.C. WILLEMS, Dissipative dynamical systems, Part II, Arch. Ration. Mech. Anal., 45 (1972), pp. 352-292.
    • (1972) Arch. Ration. Mech. Anal. , vol.45 , pp. 352-1292
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.