Linearization by output injection and nonlinear observers. (English) Zbl 0524.93030


93C10 Nonlinear systems in control theory
93B17 Transformations
93B07 Observability
93C05 Linear systems in control theory
34A34 Nonlinear ordinary differential equations and systems
93C15 Control/observation systems governed by ordinary differential equations
Full Text: DOI


[1] Poincaré, H., Oeuvres (1928), Gauthier-Villars: Gauthier-Villars Paris, Tome 1 · JFM 46.0034.12
[2] Hermann, R., The formal linearization of a semisimple Lie algebra of vector fields about a singular point, Trans. Amer. Math. Soc., 130, 105-109 (1968) · Zbl 0155.05604
[3] Guillemin, V. W.; Sternberg, S., Remarks on a paper of Hermann, Trans. Amer. Math. Soc., 130, 110-116 (1968) · Zbl 0155.05701
[4] Sedwick, J. L.; Elliott, D. L., Linearization of analytic vector fields in the transitive case, J. Differential Equations, 25, 370-390 (1977) · Zbl 0353.93033
[5] Krener, A. J., On the equivalence of control systems and the linearization of nonlinear systems, SIAM J. Control, 11, 670-676 (1973) · Zbl 0243.93009
[6] Brockett, R. W., Feedback in variants for nonlinear systems, (IFAC Congress. IFAC Congress, Helsinki (1978)) · Zbl 0457.93028
[7] Hunt, L. R.; Su, R., Linear equivalents of nonlinear time varying system, (Internation Symposium on the Mathematical theory of Networks and Systems. Internation Symposium on the Mathematical theory of Networks and Systems, Santa Monica (1981)), 119-123
[8] Jakubczyk, B.; Respondek, W., On the linearization of control systems, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 28, 517-522 (1980) · Zbl 0489.93023
[9] Meyer, G.; Cicolani, L., A formal structure for advanced automatic flight control systems, NASA TN D-7940 (1975)
[10] Isidori, A.; Krener, A. J., On the feedback equivalence of nonlinear systems, Syst. Control Lett., 2, 118-121 (1982) · Zbl 0537.93038
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.