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A lie algebraic decomposition of nonlinear systems

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1 Author(s)
Henry Hermes ; University of Colorado, Boulder, Colorado

Techniques from the theory of Lie algebras are used to decompose control systems modeled by nonlinear ordinary differential equations with control appearing linearly into systems whose solutions can be written as the composition of flows of more elementary pieces. Methods from algebraic geometry are then applied to obtain information about attainable sets and to give a computable, high order, test for local controllability.

Published in:

Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on

Date of Conference:

16-18 Dec. 1981