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IEEE Transactions on Automatic Control

Volumn 46, Issue 9, 2001, Pages 1372-1383

Stabilization of nonlinear systems via designed center monifold

(2) Cheng, Daizhan a Martin, Clyde b

a INSTITUTE OF SYSTEMS SCIENCE (China)

b TEXAS TECH UNIVERSITY (United States)

Author keywords

Approximate stability; Center manifold; Injection degree; Lyapunov function with homogeneous derivative; Zero dynamics

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY;

APPROXIMATE STABILITY; CENTER MANIFOLD; ZERO DYNAMICS;

CONTROL SYSTEM SYNTHESIS;

EID: 0035439751 PISSN: 00189286 EISSN: None Source Type: Journal
DOI: 10.1109/9.948465 Document Type: Article

Times cited : (34)

References (27)

1
- 0022046289
- Stabilization of a class of nonlinear systems by a smooth feedback control
- (1985) Sys. Control Lett. , vol.5 , pp. 289-294
- Aeyels, D.¹

2
- 0024029639
- Stabilization of nonlinear systems with uncontrollable linearization
- June
- (1988) IEEE Trans. Automat. Contr. , vol.33
- Behtash, S.¹ Dastry, D.²

3
- 0002910527
- A frequency domain philosophy for nonlinear systems
- (1984) IEEE Conf. Decision Control , vol.23
- Byrnes, C.I.¹ Isidori, A.²

4
- 0003690086
- New York: Springer-Verlag
- (1989) Nonlinear Control Systems, 2nd Ed.
- Isidori, A.¹

5
- 0026254997
- Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
- Nov.
- (1991) IEEE Trans. Automat. Contr. , vol.36
- Byrnes, C.I.¹ Isidori, A.² Willems, J.C.³

6
- 0003478284
- New York: Springer-Verlag
- (1990) Nonlinear Dynamical Control Systems
- Nijimeijer, H.¹ Van Der Schaft, A.J.²

7
- 0003626635
- New York: Springe-Verlag
- (1990) Mathematical Control Theory, Deterministic Finite Dimensional Systems
- Sontag, E.D.¹

8
- 0001215663
- Asymptotic stability and feedback stabilization
- R. W. Brockett, R. S. Millmann, and H. J. Sussmann, Eds. Boston, MA: Birkhauser; Progress in Mathematics
- (1983) Differential Geometric Control Theory
- Brockett, R.W.¹

9
- 0004168084
- Springer
- (1981) Applications of Center Manifold Theory
- Carr, J.¹

10
- 0003478288
- New York: Springer-Verlag
- (1983) Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields
- Guckenheimer, J.¹ Holmes, P.²

11
- 0003980507
- New York: Springer-Verlag
- (1967) Stability of Motion
- Hahn, W.¹

12
- 0029747566
- Homogeneous Lyapunov functions and necessary conditions for stabilization
- (1996) Math. Control, Signals, Syst. , vol.9 , Issue.1 , pp. 34-58
- Sepulchre, R.¹ Aeyels, D.²

13
- 0026998882
- Homogeneous Lyapunov function for homogeneous continuous vector field
- (1992) Sys. Control Lett. , vol.19 , pp. 467-473
- Rosier, L.¹

14
- 0002910529
- Geometric homogeneity and stabilization
- Proc. NOLCOS, 1995
- Kawski, M.¹

15
- 0029639910
- Homogeneous feedback controls for homogeneous systems
- (1995) Sys. Control Lett. , vol.24 , pp. 7-11
- Hermes, H.¹

16
- 0000575314
- Homogeneous stabilizing feedback laws
- (1990) Control Theory Ave. Tech. , vol.6 , pp. 497-516
- Kawski, M.¹

17
- 0030243809
- Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems
- (1996) SIAM J. Control Optim. , vol.34 , Issue.5 , pp. 1798-1813
- Sepulchre, R.¹ Aeyels, D.²

18
- 0003680610
- Local stabilization of nonlinear systems
- River Edge, NJ: World Scientific
- (1992) Ser. Adv. Math. Appl. Sci. , vol.8
- Bacciotti, A.¹

19
- 0002910531
- Lyapunov functions and stability criteria for nonlinear systems with multiple critical eigenvalues
- (1994) Math. Control, Signalsm, Syst. , Issue.7 , pp. 255-278
- Fu, J.-H.¹

20
- 0001868633
- Feedback stabilization of nonlinear systems
- M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, Eds. Boston, MA: Birkhauser; Progress in Systems and Control Theory Series
- (1990) Robust Control of Linear Systems and Nonlinear Control , vol.4 , pp. 61-81
- Sontag, E.D.¹

21
- 0003050169
- Asymptotically stabilizing feedback controls
- (1991) J. Differential Equations , Issue.92 , pp. 76-89
- Hermes, H.¹

22
- 0002975845
- Resonance and feedback stabilization
- Proc. IFAC Nonlinear Control Systems Design Symp. (NOLCOS' 95), Tahoe City, NV, 1997 , pp. 47-52
- Hermes, H.¹

23
- 0001865489
- Recent advances in the stabilization of nonlinear systems for low-dimensional systems
- M. Fliess, Ed., Bordeaux, France
- (1992) Proc. IFAC Nonlinear Control Systems Design Symp. (NOLCOS' 92) , pp. 1-8
- Dayawansa, W.P.¹

24
- 0027886045
- Linear stabilization of nonlinear cascade systems
- (1993) Math. Control, Signals, Syst. , Issue.6 , pp. 146-165
- Bacciotti, A.¹ Boieri, P.² Mazzi, L.³

25
- 0004236492
- second ed. Baltimore, MD: Johns Hopkins Univ. Press
- (1989) Matrix Computations
- Golub, G.H.¹ Van Loan, C.G.²

26
- 0348073270
- Stabilization of nonlinear systems with oscillatory center
- Proc. 19th CCC, Hong Kong, 2000 , pp. 91-96
- Cheng, D.¹ Spurgeon, S.²

27
- 0000259153
- Stabilization of a class of nonlinear nonminimum phase systems
- (2000) Asian J. Control , vol.2 , Issue.2 , pp. 132-139
- Cheng, D.¹

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