Title :
Approximate integration of nonintegrable distributions
Author :
Hauser, John ; Gwo, Eric C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
Abstract :
The authors consider the question: How far is a given nonintegrable distribution from being integrable? After defining a measure of the nonintegrability of a distribution over a given compact set, they show that this measure is bounded away from zero whenever the distribution is not involutive. Methods for estimating lower bounds on this measure are provided. An example is given to illustrate the proposed measure and techniques
Keywords :
boundary-value problems; control system analysis; integration; nonlinear control systems; approximate integration; compact set; lower bounds; nonintegrability; nonintegrable distributions; Control systems; Linear systems; Mechanical variables measurement; Nonlinear control systems; Size measurement; Vectors;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371459
