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:
“Well said, old mole, canst work i’ th’ earth so fast?”
—William Shakespeare (1564–1616)
“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.”
—Salman Rushdie (b. 1947)
“... in love, barriers cannot be destroyed from the outside by the one to whom the cause despair, no matter what he does; and it is only when he is no longer concerned with them that, suddenly, as a result of work coming from elsewhere, accomplished within the one who did not love him, these barriers, formerly attacked without success, fall futilely.”
—Marcel Proust (1871–1922)