Robust stabilization of nonlinear control systems by means of hybrid feedbacks.
Prieur, C. (2006)
Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
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Prieur, C. (2006)
Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
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Rafal Goebel, Andrew R. Teel (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.
E. S. Zeron (2008)
Mathematical Modelling of Natural Phenomena
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No other concepts have shaken so deeply the bases of engineering like those of positive and negative feedback. They have played a most prominent role in engineering since the beginning of the previous century. The birth certificate of positive feedback can be traced back to a pair of patents by Edwin H. Armstrong in 1914 and 1922, whereas that of negative feedback is already lost in time. We present in this paper a short review on the feedback's origins in the fields of engineering and biology. Besides, we compare the main feedback's ideas in control theory and system biology in order to get a better understanding of the lactose and tryptophan operons' regulatory systems (control systems). It is obvious that we need to know the genome of an organism in order to understand how it works, but that is only half of the puzzle, for we also need to know how the underlying genetic regulatory systems work in order to get a complete picture of the cell's dynamics.
Moreira, Manoel R., Júnior, Edson I.Mainardi, Esteves, Talita T., Teixeira, Marcelo C.M., Cardim, Rodrigo, Assunção, Edvaldo, Faria, Flávio A. (2010)
Mathematical Problems in Engineering
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Naiborhu, J., Nababan, S.M., Saragih, R., Pranoto, I. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Chaabane, M., Tadeo, F., Mehdi, D., Souissi, M. (2011)
Mathematical Problems in Engineering
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Rachid Outbib, Gauthier Sallet (1998)
Kybernetika
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The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [BYIS] or [Tsi1]).