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:
“Heaven is the work of the best and kindest men and women. Hell is the work of prigs, pedants and professional truth-tellers. The world is an attempt to make the best of Heaven and Hell.”
—Samuel Butler (1835–1902)
“You say that you do not succeed much. Does it concern you enough that you do not? Do you work hard enough at it? Do you get the benefit of discipline out of it? If so persevere. Is it a more serious thing than to walk a thousand miles in a thousand successive hours? Do you get any corns by it? Do you ever think of hanging yourself on account of failure?”
—Henry David Thoreau (1817–1862)
“At each minute we are crushed by the idea and the feeling of time. And there are only two ways to escape this nightmare, Mto forget it: pleasure and work. Pleasure wears us out. Work fortifies us. Let’s choose.”
—Charles Baudelaire (1821–1867)