Mazenc, F. Stabilization of feedforward systems approximated by a non-linear chain of integrators. (English) Zbl 0902.93057 Syst. Control Lett. 32, No. 4, 223-230 (1997). Summary: We prove that, for any odd integer p and any strictly positive integer n, feedforward systems which are approximated at the origin by a chain of integrators of degree p and length n can be globally asymptotically stabilized by bounded smooth time-invariant state feedbacks. Our proof is based on the construction of a Lyapunov function and the feedback laws we obtain are given by explicit formulas. Cited in 23 Documents MSC: 93D15 Stabilization of systems by feedback 93C10 Nonlinear systems in control theory 93D30 Lyapunov and storage functions Keywords:nonlinear system; global stabilization; bounded feedback; Lyapunov design; feedforward systems; chain of integrators PDFBibTeX XMLCite \textit{F. Mazenc}, Syst. Control Lett. 32, No. 4, 223--230 (1997; Zbl 0902.93057) Full Text: DOI References: [1] Jankovic, M. J.; Sepulchre, R.; Kokotovic, P. V., Global stabilization of an enlarged class of cascade nonlinear systems, IEEE Trans. Automat. Control, 41, 12, 1723-1735 (1996) · Zbl 0869.93039 [2] Mazenc, F., Stabilisation de trajectoires, ajout d’intégration, commande saturées, (Thèse en Mathématiques et Automatique (1996), École des Mines de Paris) [3] Mazenc, F.; Praly, L., Adding an integration and global asymptotic stabilization of feedforward systems, IEEE Trans. Automat. Control, 41, 11, 1559-1578 (1996) · Zbl 0865.93049 [4] R. Sepulchre, M. Jankovic, P.V. Kokotovic, Constructive Nonlinear Control, Communications and Control Engineering Series, Springer, Berlin.; R. Sepulchre, M. Jankovic, P.V. Kokotovic, Constructive Nonlinear Control, Communications and Control Engineering Series, Springer, Berlin. · Zbl 1067.93500 [5] Teel, A., Additional stability results with bounded controls, (Proc. 33rd IEEE Conf. on Decision and Control (1994 December)) [6] Teel, A., Feedback stabilization: nonlinear solutions to inherently nonlinear problems, Memorandum No. UCB/ERL M92/65 (12 1992 December June) 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.