Sussmann H.J. (ed.) Nonlinear controllability and optimal control

Marcel Dekker, 1990. — 477 p.This outstanding reference presents current, state-of-the-art research on important problems of finite-dimensional nonlinear optimal control and controllability theory. It presents an overview of a broad variety of new techniques useful in solving classical control theory problems. Written and edited by renowned mathematicians at the forefront of research in this evolving field, Nonlinear Controllability and Optimal Control provides detailed coverage of the construction of solutions of differential inclusions by means of directionally continuous sections... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon... the theory of orbits... and more. Containing more than 1,300 display equations, this exemplary, instructive reference is an invaluable source for mathematical researchers and applied mathematicians, electrical and electronics, aerospace, mechanical, control, systems, and computer engineers, and graduate students in these disciplines.