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- Roger W Brockett, Richard S Millman, Hector J Sussmann
- 2012

Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology has an impact on. 473 pages. The theory of adaptive control is concerned with construction of strategies so that the controlled system behaves in a desirable way, without assuming the complete knowledge of. This… (More)

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)

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)

|{ 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)

This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix… (More)

1. Introduction The theory of viscosity solutions forms the basis for much current work in optimal control and numerical analysis (cf. [1, 2, 3]). In two recent papers (cf. [4], [5]), we proved theorems characterizing the value function in deterministic optimal control as the unique viscosity solution of the Bellman equation that satisfies appropriate side… (More)