-
1
-
-
0004029931
-
Dynamical Systems I
-
Dynamical Systems I D.V. Anosov V.I. Arnold Encyclopedia of Mathematical Sciences Vol.1 1988 Springer Verlag Berlin
-
(1988)
-
-
-
2
-
-
0022661079
-
“Local feedback stabilization and bifurcation control,I, Hopf bifurcation”
-
E.H. Abed J.H. Fu “Local feedback stabilization and bifurcation control,I, Hopf bifurcation” Systems and Control Letters 7 1986 11 17
-
(1986)
Systems and Control Letters
, vol.7
, pp. 11-17
-
-
Abed, E.H.1
Fu, J.H.2
-
3
-
-
0023346390
-
“Local feedback stabilization and bifurcation control,II. Stationary bifurcation,”
-
E.H. Abed J.H. Fu “Local feedback stabilization and bifurcation control,II. Stationary bifurcation,” Systems and Control Letters 8 1987 467 473
-
(1987)
Systems and Control Letters
, vol.8
, pp. 467-473
-
-
Abed, E.H.1
Fu, J.H.2
-
4
-
-
85113045525
-
-
J. H. Fu and E.H. Abed, “Linear feedback stabilization of nonlinear systems,” (preprint) (to appear in Automatica ).
-
-
-
-
5
-
-
85113079301
-
-
J. H. Fu and E. H. Abed, “Families of Lyapunov functions for nonlinear systems in critical cases,” (preprint) (to appear in IEEE Trans. Automat. Contr. ).
-
-
-
-
6
-
-
0020848962
-
“Stabilization with relaxed controls,”
-
Z. Artstein “Stabilization with relaxed controls,” Nonl. Anal, TMA 7 1983 1163 1173
-
(1983)
Nonl. Anal, TMA
, vol.7
, pp. 1163-1173
-
-
Artstein, Z.1
-
7
-
-
0023846469
-
“Comments on the stabilizability of the angular velocity of a rigid body,”
-
D. Ayels M. Szafranski “Comments on the stabilizability of the angular velocity of a rigid body,” Systems and Control Letters 10 1988 35 39
-
(1988)
Systems and Control Letters
, vol.10
, pp. 35-39
-
-
Ayels, D.1
Szafranski, M.2
-
8
-
-
0012438663
-
“Stabilization of a class of nonlinear systems by a smooth feedback,”
-
D. Ayels “Stabilization of a class of nonlinear systems by a smooth feedback,” Systems and Control Letters 5 1985 181 191
-
(1985)
Systems and Control Letters
, vol.5
, pp. 181-191
-
-
Ayels, D.1
-
9
-
-
85113062999
-
-
A. Bacciotti Local Stabilizability of Nonlinear Control Systems 8 1992 World Scientific Press Singapore Series on Advances in Mathematics for Applied Sciences
-
(1992)
-
-
Bacciotti, A.1
-
10
-
-
0024305126
-
“Feedback stabilization of planar nonlinear systems,”
-
W.M. Boothby R. Marino “Feedback stabilization of planar nonlinear systems,” Systems and Control Letters 12 1989 87 92
-
(1989)
Systems and Control Letters
, vol.12
, pp. 87-92
-
-
Boothby, W.M.1
Marino, R.2
-
11
-
-
85113046907
-
-
W. M. Boothby and R. Marino, “ Feedback stabilization of planar nonlinear systems II,” 28th IEEE Conf. on Decision and Control , (1989), 1970–1974.
-
-
-
-
12
-
-
84919219920
-
“The center manifold theorem in feedback stabilization of planar, single input, systems,”
-
W.M. Boothby R. Marino “The center manifold theorem in feedback stabilization of planar, single input, systems,” Control - Theory and Advanced Technology 6 1990 517 532
-
(1990)
Control - Theory and Advanced Technology
, vol.6
, pp. 517-532
-
-
Boothby, W.M.1
Marino, R.2
-
13
-
-
0026005382
-
“On the attitude stabilization of rigid spacecraft,”
-
C.I. Byrnes A. Isidori “On the attitude stabilization of rigid spacecraft,” Automatica 27 1991 87 95
-
(1991)
Automatica
, vol.27
, pp. 87-95
-
-
Byrnes, C.I.1
Isidori, A.2
-
14
-
-
0026238258
-
“Asymptotic stabilization of minimum phase systems,”
-
C.I. Byrnes A. Isidori “Asymptotic stabilization of minimum phase systems,” IEEE Transac. Automat. Contr AC-36 1991 1122 1137
-
(1991)
IEEE Transac. Automat. Contr
, vol.AC-36
, pp. 1122-1137
-
-
Byrnes, C.I.1
Isidori, A.2
-
15
-
-
0026238258
-
“Passivity, feedback equivalence and the global stabilization of minimum phase nonlinear systems”
-
C.I. Byrnes A. Isidori J.C. Willems “Passivity, feedback equivalence and the global stabilization of minimum phase nonlinear systems” IEEE Transac. Automat. Contr. AC-36 1991 1228 1240
-
(1991)
IEEE Transac. Automat. Contr.
, vol.AC-36
, pp. 1228-1240
-
-
Byrnes, C.I.1
Isidori, A.2
Willems, J.C.3
-
16
-
-
0003412532
-
“Asymptotic stability and feedback stabilization”
-
R. Brockett “Asymptotic stability and feedback stabilization” Differential Geometric Control Theory 1983 Birkhauser Boston
-
(1983)
-
-
Brockett, R.1
-
17
-
-
85113058617
-
-
J. Carr Applications of Center Manifold Theory 1981 Springer Verlag NY
-
(1981)
-
-
Carr, J.1
-
18
-
-
85113036091
-
“Asymptotic stability in 3-space,”
-
C. Coleman “Asymptotic stability in 3-space,” L. Cesari J.P. LaSalle S. Lefschetz Contributions to the Theory of Nonlinear Oscillations - Vol. V 45 1960 Princeton Univ. Press Annals of Mathematics Studies
-
(1960)
-
-
Coleman, C.1
-
19
-
-
0025402690
-
“A necessary condition for feedback stabilization,”
-
J.-M. Coron “A necessary condition for feedback stabilization,” Syst. Contr. Lett. 14 1990 227 232
-
(1990)
Syst. Contr. Lett.
, vol.14
, pp. 227-232
-
-
Coron, J.-M.1
-
20
-
-
0026204666
-
“Adding an integrator for stabilization problem,”
-
J.-M. Coron L. Praly “Adding an integrator for stabilization problem,” Syst. Contr. Lett. 17 1991 89 105
-
(1991)
Syst. Contr. Lett.
, vol.17
, pp. 89-105
-
-
Coron, J.-M.1
Praly, L.2
-
21
-
-
85113035097
-
“Stabilization of nonlinear control systems: the role of Newton diagrams,”
-
P.E. Crouch I.S. Igheneiwa “Stabilization of nonlinear control systems: the role of Newton diagrams,” International Journal of Control 49 1989 205 211
-
(1989)
International Journal of Control
, vol.49
, pp. 205-211
-
-
Crouch, P.E.1
Igheneiwa, I.S.2
-
22
-
-
85113049332
-
-
D. Deimling Nonlinear Functional Analysis 1988 Springer Verlag New York
-
(1988)
-
-
Deimling, D.1
-
23
-
-
85113050031
-
“Asymptotic stabilization of low dimensional systems,”
-
W.P. Dayawansa “Asymptotic stabilization of low dimensional systems,” Nonlinear Synthesis, Progress in Systems and Control Theory 9 1991 Birkhauser Boston
-
(1991)
-
-
Dayawansa, W.P.1
-
24
-
-
85113054208
-
-
W. P. Dayawansa and C. F. Martin, “Some sufficient conditions for the asymptotic stabilizability of three dimensional homogeneous systems,” Proc. IEEE Conf. on Decision and Control , Tampa, Dec. 1989, 1366–1370.
-
-
-
-
25
-
-
0024641682
-
“Asymptotic Stabilization of Two Dimensional Real Analytic Systems,”
-
W.P. Dayawansa C.F. Martin “Asymptotic Stabilization of Two Dimensional Real Analytic Systems,” Systems and Control Letters 12 1989 205 211
-
(1989)
Systems and Control Letters
, vol.12
, pp. 205-211
-
-
Dayawansa, W.P.1
Martin, C.F.2
-
26
-
-
33747011548
-
“A Remark on a Theorem of Andreini, Bacciotti and Stefani,”
-
W.P. Dayawansa C.F. Martin “A Remark on a Theorem of Andreini, Bacciotti and Stefani,” Syst. and Contr. Lett. 13 1989 363 364
-
(1989)
Syst. and Contr. Lett.
, vol.13
, pp. 363-364
-
-
Dayawansa, W.P.1
Martin, C.F.2
-
28
-
-
85113079381
-
-
W. P. Dayawansa, C. F. Martin ans S. Samelson, “Asymptotic stabilization of three dimensional homogeneous quadratic systems,” submitted to Proc. of the 31st IEEE Conf. on Dec. and Contr
-
-
-
-
29
-
-
85113040935
-
-
W. P. Daywansa, C. F. Martin and S. Samelson, “Asymptotic stabilization of single input, three dimensional, homogeneous polynomial systems,” under preperation.
-
-
-
-
30
-
-
85113063005
-
-
W. P. Daywansa, C. F. Martin and S. Samelson, “Asymptotic stabilization of generic single input, three dimensional, homogeneous polynomial systems of a given degree,” submitted to Systems and Control Letters
-
-
-
-
31
-
-
33646991587
-
“Uber das Verhalten der Integralkurven einer Gewohnlichen Differnetialalgleichung erster Ordnung in der Umgebung eines singularen Punktes,”
-
H. Forster “Uber das Verhalten der Integralkurven einer Gewohnlichen Differnetialalgleichung erster Ordnung in der Umgebung eines singularen Punktes,” Mathematishe Zetschrift 43 1937 271 320
-
(1937)
Mathematishe Zetschrift
, vol.43
, pp. 271-320
-
-
Forster, H.1
-
33
-
-
85113055604
-
-
M. Golubitsky D.G. Shaeffer Singularities and Groups in Bifurication Theory 1 1985 Springer Verlag NY
-
(1985)
-
-
Golubitsky, M.1
Shaeffer, D.G.2
-
34
-
-
85113052299
-
-
W. Hahn Stability of motion 1967 Springer Verlag NY
-
(1967)
-
-
Hahn, W.1
-
35
-
-
85113070750
-
-
W. Hahn Stability of Motion 1967 Springer Verlag New York
-
(1967)
-
-
Hahn, W.1
-
37
-
-
85113068537
-
-
H. Hermes, “Homogeneous coordinates and continuous asymptotically stabilizing feedback controls,” Proceedings of the Conference on Differential Equations Applications to Stability and Control , Colorado Springs, 1989.
-
-
-
-
38
-
-
0022755805
-
“Nilpotent approximation of control systems and distributions,”
-
H. Hermes “Nilpotent approximation of control systems and distributions,” SIAM J. Contr. Optimiz. 24 1986 731 736
-
(1986)
SIAM J. Contr. Optimiz.
, vol.24
, pp. 731-736
-
-
Hermes, H.1
-
39
-
-
0026080309
-
“Asymptotic stabilizing feedback controls and the nonlinear regulator problem,”
-
H. Hermes “Asymptotic stabilizing feedback controls and the nonlinear regulator problem,” SIAM J. Contr. Optimiz. 29 1991 185 196
-
(1991)
SIAM J. Contr. Optimiz.
, vol.29
, pp. 185-196
-
-
Hermes, H.1
-
40
-
-
0026374076
-
“Asymptotic stabilization of planar nonlinear systems,”
-
H. Hermes “Asymptotic stabilization of planar nonlinear systems,” Syst. Contr. Lett. 17 1991 437 445
-
(1991)
Syst. Contr. Lett.
, vol.17
, pp. 437-445
-
-
Hermes, H.1
-
41
-
-
85113045503
-
-
A. Isidori Nonlinear Control Systems 2nd ed. 1989 Springer Verlag New York
-
(1989)
-
-
Isidori, A.1
-
42
-
-
0019020679
-
“Dissipative dynamical systems: Basic input-output properties”
-
D.J. Hill P.J. Moylan “Dissipative dynamical systems: Basic input-output properties” J. Franklin Inst. 309 1980 327 357
-
(1980)
J. Franklin Inst.
, vol.309
, pp. 327-357
-
-
Hill, D.J.1
Moylan, P.J.2
-
43
-
-
0002757535
-
“Nonlinear Oscillations,”
-
L.N. Howard “Nonlinear Oscillations,” F.C. Hopensteadt Nonlinear Oscillations in Biology 1979 Amer. Math. Soc. Providence 1 68
-
(1979)
, pp. 1-68
-
-
Howard, L.N.1
-
44
-
-
0002597265
-
“Feedback equivalence of planar systems and stabilizability,”
-
B. Jakubcyk W. Respondek “Feedback equivalence of planar systems and stabilizability,” M.A. Kaashoek J.H. van Schuppen C.A.M. Ran Robust Control of Linear Systems and nonlinear Control 1990 Birkhauser New York 447 456
-
(1990)
, pp. 447-456
-
-
Jakubcyk, B.1
Respondek, W.2
-
45
-
-
0024607453
-
“Stabilization of nonlinear systems in the plane,”
-
M. Kawski “Stabilization of nonlinear systems in the plane,” Syst. Contr. Lett. 12 1989 169 175
-
(1989)
Syst. Contr. Lett.
, vol.12
, pp. 169-175
-
-
Kawski, M.1
-
46
-
-
85113044004
-
-
M. Kawski, “Homogeneous feedback laws in dimension three,” Proc. IEEE Conf. on Decision and Control , Tampa, Dec 1989, 1370–1376.
-
-
-
-
48
-
-
0024718108
-
“A positive real condition for global stabilization of nonlinear systems,”
-
P.V. Kokotovic H.J. Sussmann “A positive real condition for global stabilization of nonlinear systems,” Systems ans Control Letters 13 1989 125 134
-
(1989)
Systems ans Control Letters
, vol.13
, pp. 125-134
-
-
Kokotovic, P.V.1
Sussmann, H.J.2
-
49
-
-
0002585302
-
“On the inversion of Lyapunov's second theorem on stability of motion,”
-
J. Kurzweil “On the inversion of Lyapunov's second theorem on stability of motion,” Amer. Math. Soc. Transl. 24 1956 19 77 Ser 2
-
(1956)
Amer. Math. Soc. Transl.
, vol.24
, pp. 19-77
-
-
Kurzweil, J.1
-
51
-
-
0015670958
-
“Nonlinear regulator theory and inverse optimal control,”
-
P.J. Moylan B.D.O. Anderson “Nonlinear regulator theory and inverse optimal control,” IEEE Transac. Automat. Contr. AC-18 1973 460 464
-
(1973)
IEEE Transac. Automat. Contr.
, vol.AC-18
, pp. 460-464
-
-
Moylan, P.J.1
Anderson, B.D.O.2
-
52
-
-
0001945369
-
Stability of C∞-mappings, I, II
-
∞-mappings, I, II Ann. Math. 87 1962 89 104 89(1969), 254–291
-
(1962)
Ann. Math.
, vol.87
, pp. 89-104
-
-
Mather, J.N.1
-
53
-
-
85113048752
-
-
R. Marino, “High-gain stabilization and partial feedback stabilization,” 25th IEEE Conference on Decision and Control , (1986), 209–213.
-
-
-
-
54
-
-
0022523949
-
“On the largest feedback linearizable subsystem”
-
R. Marino “On the largest feedback linearizable subsystem” Systems and Control Letters 6 1986 345 352
-
(1986)
Systems and Control Letters
, vol.6
, pp. 345-352
-
-
Marino, R.1
-
55
-
-
85113074599
-
-
J.E. Marsden M. McCracken The Hopf Bifurcation Theorem and its Applications 1976 Springer Verlag New York
-
(1976)
-
-
Marsden, J.E.1
McCracken, M.2
-
56
-
-
0016093490
-
“Implications of passivity in a class of nonlinear systems,”
-
P.J. Moylan “Implications of passivity in a class of nonlinear systems,” IEEE Transac. Automat. Contr. AC-19 1974 373 381
-
(1974)
IEEE Transac. Automat. Contr.
, vol.AC-19
, pp. 373-381
-
-
Moylan, P.J.1
-
57
-
-
85113075366
-
-
L. Rosier, “Homogeneous Lyapunov functions for homogeneous continuos vector field,” (preprint)
-
-
-
-
58
-
-
85113060352
-
-
L. Praly, B. d'Andrea-Novell and J. M. Coron, “Lyapunov design fo stabilizing controllers,” 28th IEEE Conference on Decision and Control , 1989, 1047–1052.
-
-
-
-
59
-
-
0343120991
-
“Stability properties of autonomous homogeneous polynomial differential systems,”
-
N. Samardzija “Stability properties of autonomous homogeneous polynomial differential systems,” J. Differential Eq. 48 1983 60 70
-
(1983)
J. Differential Eq.
, vol.48
, pp. 60-70
-
-
Samardzija, N.1
-
60
-
-
0024717674
-
“A universal construction of Artstein's theorem on nonlinear stabilization,”
-
E.D. Sontag “A universal construction of Artstein's theorem on nonlinear stabilization,” Systems and Control Letters 13 1989 117 123
-
(1989)
Systems and Control Letters
, vol.13
, pp. 117-123
-
-
Sontag, E.D.1
-
61
-
-
0001868633
-
“Feedback stabilization of nonlinear systems,”
-
E.D. Sontag “Feedback stabilization of nonlinear systems,” M.A. Kaashoek J.H. van Schuppen A.C.M. Ran Robust Control of Linear and Nonlinear systems 1990 Birkhauser Boston
-
(1990)
-
-
Sontag, E.D.1
-
62
-
-
0025419843
-
“Further facts about input to state stabilization,”
-
E.D. Sontag “Further facts about input to state stabilization,” IEEE Trans. Automat. Contr. AC-35 1990 473 477
-
(1990)
IEEE Trans. Automat. Contr.
, vol.AC-35
, pp. 473-477
-
-
Sontag, E.D.1
-
63
-
-
85113071712
-
-
E.H. Spanier Algebraic Topology 1966 McGraw Hill New York
-
(1966)
-
-
Spanier, E.H.1
-
64
-
-
85113053352
-
-
E.D. Sontag and H.J. Sussmann, “Remarks on continuous feedback,” Proc. IEEE Conf. Decision and Control , Albuquerque, (1980), 916–921.
-
-
-
-
65
-
-
0024640866
-
“Further comments on the stabilizability of the angular velocity of a rigid body,”
-
E.D. Sontag H.J. Sussmann “Further comments on the stabilizability of the angular velocity of a rigid body,” Systems and Control Letters 12 1989 213 217
-
(1989)
Systems and Control Letters
, vol.12
, pp. 213-217
-
-
Sontag, E.D.1
Sussmann, H.J.2
-
66
-
-
0002967668
-
“ Subanalytic sets and feedback control,”
-
H.J. Sussmann “ Subanalytic sets and feedback control,” J. Differential Equations 31 1979 31 52
-
(1979)
J. Differential Equations
, vol.31
, pp. 31-52
-
-
Sussmann, H.J.1
-
67
-
-
0002425691
-
Singularities of differentiable mappings
-
R. Thom H. Levine Singularities of differentiable mappings Lecture Notes in Math 1971 Springer Verlag NY 192
-
(1971)
, pp. 192
-
-
Thom, R.1
Levine, H.2
-
69
-
-
0026118633
-
“Existence of Control Lyapunov Functions and Applications to State Feedback Stabilizability of Nonlinear Systems,”
-
J. Tsinias “Existence of Control Lyapunov Functions and Applications to State Feedback Stabilizability of Nonlinear Systems,” SIAM J. Contr. Optimiz. 29 1991 457 473
-
(1991)
SIAM J. Contr. Optimiz.
, vol.29
, pp. 457-473
-
-
Tsinias, J.1
-
70
-
-
0025521044
-
“Optimal Controllers and output feedback stabilization,”
-
J. Tsinias “Optimal Controllers and output feedback stabilization,” Systems and Control Letters 15 1990 277 284
-
(1990)
Systems and Control Letters
, vol.15
, pp. 277-284
-
-
Tsinias, J.1
-
71
-
-
0026118633
-
“Remarks on feedback stabilizability of homogeneous systems,”
-
J. Tsinias “Remarks on feedback stabilizability of homogeneous systems,” Control - Theory and Advanced Technology 29 1991 457 473
-
(1991)
Control - Theory and Advanced Technology
, vol.29
, pp. 457-473
-
-
Tsinias, J.1
-
72
-
-
0019049056
-
“Decomposition techniques for large scale systems with nonadditive interactions: stability and stabilizability,”
-
M. Vidyasagar “Decomposition techniques for large scale systems with nonadditive interactions: stability and stabilizability,” IEEE Tansac. Automat. Contr. AC-25 1980 773 779
-
(1980)
IEEE Tansac. Automat. Contr.
, vol.AC-25
, pp. 773-779
-
-
Vidyasagar, M.1
-
73
-
-
85113037939
-
-
J. C. Willems, “Dissipative dynamical systems, part I: general theory,” Arch. Rational Mech. Anal. , 45, 321–351.
-
-
-
|