The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
Abstract
Conditions under which a nonlinear system can be rendered passive via smooth state feedback are derived. It is shown that, as in the case of linear systems, this is possible if and only if the system in question has relative degree one and is weakly minimum phase. It is proven that weakly minimum phase nonlinear systems with relative degree one can be globally asymptotically stabilized by smooth state feedback, provided that suitable controllability-like rank conditions are satisfied. This result incorporates and extends a number of stabilization schemes recently proposed for global asymptotic stabilization of certain classes of nonlinear systems.>
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Cites
Isidori, A. (1989) · Springer eBooks · doi:10.1007/978-3-662-02581-9 · Cited by 7,869
Self-citationDissipative dynamical systems part I: General theory
Willems, J. C. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00276493 · Cited by 3,250
Self-citationFeedback Systems: Input-Output Properties
Desoer, C. A., Vidyasagar, M., & Willson, A. N. (1975) · Journal of Dynamic Systems, Measurement, and Control · doi:10.1115/1.3426967 · Cited by 3,225
Hahn, W. (1967) · Springer eBooks · doi:10.1007/978-3-642-50085-5 · Cited by 2,754
Dissipative dynamical systems Part II: Linear systems with quadratic supply rates
Willems, J. C. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00276494 · Cited by 991
Self-citationJurdjevic, V, & Quinn, J. P. (1978) · Journal of Differential Equations · doi:10.1016/0022-0396(78)90135-3 · Cited by 484
Stability results for nonlinear feedback systems
Hill, D. J., & Moylan, P. J. (1977) · Automatica · doi:10.1016/0005-1098(77)90020-6 · Cited by 475
The Analysis of Feedback Systems
Willems, J. C., Vidyasagar, M., & Williams, G. (1972) · IEEE Transactions on Systems Man and Cybernetics · doi:10.1109/tsmc.1972.4309170 · Cited by 447
Self-citationNew results and examples in nonlinear feedback stabilization
Byrnes, C. I., & Isidori, A. (1989) · Systems & Control Letters · doi:10.1016/0167-6911(89)90080-7 · Cited by 339
Self-citationGlobal Stabilization of Partially Linear Composite Systems
Saberi, A., Kokotović, P. V., & Sussmann, H. J. (1990) · SIAM Journal on Control and Optimization · doi:10.1137/0328079 · Cited by 303
Cited by
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
Constructive nonlinear control: a historical perspective
Kokotović, P., & Arcak, M. (2001) · Automatica · doi:10.1016/s0005-1098(01)00002-4 · Cited by 720
A Survey of Some Recent Results on Nonlinear Fault Tolerant Control
Benosman, M. (2010) · Mathematical Problems in Engineering · doi:10.1155/2010/586169 · Cited by 74
Metadata
- Authors
- Byrnes, C. I., Isidori, A., & Willems, J. C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1991
- Volume
- 36
- Issue
- 11
- Pages
- 1228-1240
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2102899117
- Cited by
- 1,371
- References
- 11
- FWCI
- 43.14
- Type
- journal article
- Language
- en
- Open access
- closed
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