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:
“A work of art is one through which the consciousness of the artist is able to give its emotions to anyone who is prepared to receive them. There is no such thing as bad art.”
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“If therefore my work is negative, irreligious, atheistic, let it be remembered that atheism—at least in the sense of this work—is the secret of religion itself; that religion itself, not indeed on the surface, but fundamentally, not in intention or according to its own supposition, but in its heart, in its essence, believes in nothing else than the truth and divinity of human nature.”
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“When I consider thy heavens, the work of thy fingers, the moon and the stars, which thou hast ordained;
What is man, that thou art mindful of him?”
—Bible: Hebrew Psalm VIII (l. VIII, 3–4)