Title :
A lie algebraic decomposition of nonlinear systems
Author_Institution :
University of Colorado, Boulder, Colorado
Abstract :
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.
Keywords :
Algebra; Computational geometry; Control system synthesis; Controllability; Equations; Information geometry; Nonlinear control systems; Nonlinear systems; System testing;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on
Conference_Location :
San Diego, CA, USA
DOI :
10.1109/CDC.1981.269269
