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- Héctor J. Sussmann
- Mathematical systems theory
- 1977

In the theory of finite dimensional linear systems, it is well known that every input-output map that can be realized by one such system can also be realized by a system which is “minimal”, i.e. both controllable and observable. Moreover, the minimal realization of a given map is unique up to isomorphism. It is shown here that similar results hold for the… (More)

- Benedetto Piccoli, Héctor J. Sussmann
- SIAM J. Control and Optimization
- 2000

We propose a deenition of \regular synthesis," more general than those suggested by other authors such as Boltyanskii and Brunovsk y, and an even more general notion of \regular presynthesis." We give a complete proof of the corresponding suuciency theorem, a slightly weaker version of which had been stated in an earlier article, with only a rough outline… (More)

- Héctor J. Sussmann
- Neural Networks
- 1992

|{ We show that, for feedforward nets with a single hidden layer, a single output node, and a \transfer function" Tanhs, the net is uniquely determined by its input-output map, up to an obvious nite group of symmetries (permutations of the hidden nodes, and changing the sign of all the weights associated to a particular hidden node), provided that the net… (More)

- Héctor J. Sussmann
- Mathematical systems theory
- 1979

A universal input is an inputu with the property that, whenever two states give rise to a different output for some input, then they give rise to a different output foru. For an observable system,u is universal if the initial state can be reconstructed from the knowledge of the output foru. It is shown that, for continuous-time analytic systems, analytic… (More)

- H. J. SUSSMANN
- 1993

We illustrate the use of the techniques of modern geometric optimal control theory by studying the shortest paths for a model of a car that can move forwards and backwards. This problem was discussed in recent work by Reeds and Shepp who showed, by special methods, (a) that shortest path motion could always be achieved by means of trajectories of a special… (More)

The version submitted to the CDC is an earlier one. In the present version, some typos that were found in the submitted version have been corrected. New theories of set-valued differentials and new versions of the maximum principle of optimal control theory

- H. J. SUSSMANN
- 1995