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Titlebook: Nonlinear Control in the Year 2000; Volume 1 Alberto Isidori (Professor),Françoise Lamnabhi-Lag Conference proceedings 2001 Springer-Verlag

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External stability and continuous Liapunov functions,It is well known that external stability of nonlinear input systems can be investigated by means of a suitable extension of the Liapunov functions method. We prove that a complete characterization by means of continuous Liapunov functions is actually possible, provided that the definition of external stability is appropriately strengthened.
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,Stratification du secteur anormal dans la sphère de Martinet de petit rayon,L’objectif de cet article est de fournir le cadre géométrique pour faire une analyse de la singularité de l’application exponentielle le long d’une direction anormale en géométrie sous-Riemannienne. Il utilise les calculs de [9], [12], et conduit dans le cas Martinet à une stratification de la singularité en secteurs Lagrangiens.
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Nonlinear QFT synthesis based on harmonic balance and multiplier theory,less nonlinearities like the saturation or the dead-zone. The approach is to incorporate to QFT conditions given by the application of harmonic balance and multiplier techniques, providing the designer with a very transparent tool for synthesising stabilising compensators, balancing between different possible alternatives.
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,A remark on Ryan’s generalization of Brockett’s condition to discontinuous stabilizability,tem are intended in Filippov’s sense. Moreover, by means of an example, we see how the interpretation of solutions of systems with discontinuous righthand side may influence a stabilizability result for a system which does not admit a continuous stabilizing feedback law.
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978-1-85233-363-8Springer-Verlag London 2001
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Nonlinear Control in the Year 2000978-1-84628-568-4Series ISSN 0170-8643 Series E-ISSN 1610-7411
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Principal invariants of Jacobi curves,range Grassmannians. Differential geometry of these curves provides basic feedback or gauge invariants for a wide class of smooth control systems and geometric structures. In the present paper we mainly discuss two principal invariants: the ., which is an invariant of the parametrized curve in the L
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Trajectory tracking by cascaded backstepping control for a second-order nonholonomic mechanical sysst step we transform the system into an extended chained-form system. This extended chained-form system is in cascade form and we apply a linear feedback to the first subsystem. In the second step, the second subsystem is exponentially stabilized by applying a backstepping procedure. In the third an
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