Work
His work in control theory led to the introduction of the concept of input to state stability (ISS), a stability theory notion for nonlinear systems, and control-Lyapunov functions. Many of the subsequent results were proved in collaboration with his student Yuan Wang and with David Angeli. In systems biology, Sontag introduced together with David Angeli the concept of input/output monotone system. In theory of computation, he proved the first results on computational complexity in nonlinear controllability, and introduced together with his student Hava Siegelmann a new approach to analog computation and super-Turing computing.
Read more about this topic: Eduardo D. Sontag
Famous quotes containing the word work:
“The real risks for any artist are taken ... in pushing the work to the limits of what is possible, in the attempt to increase the sum of what it is possible to think. Books become good when they go to this edge and risk falling over it—when they endanger the artist by reason of what he has, or has not, artistically dared.”
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“The woman and the genius do not work. Up to now, woman has been mankind’s supreme luxury. In all those moments when we do our best, we do not work. Work is merely a means to these moments.”
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—Elizabeth Cady Stanton (1815–1902)