Singular Optimal Problems

  • V. Jurdjevic
Part of the Progress in Systems and Control Theory book series (PSCT, volume 2)

Abstract

Much of the content for this paper is motivated by the following variational problem. Suppose that the state space M is a real, analytic manifold of dimension m, and that X 0, ..., X c are real analytic vector fields on M. Consider the following differential system on M defined by this data:
$$ \frac{{dx(t)}}{{dt}} = {X_0}(x(t)) + \sum\limits_{i = 1}^c {{u_i}{X_i}(x(t))} $$
.

Keywords

Vector Field Poisson Bracket Optimal Trajectory Integral Curve Poisson Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • V. Jurdjevic

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