TY - JOUR
T1 - Integrating algorithms for integrable affine constraints
AU - Kai, Tatsuya
PY - 2011/1
Y1 - 2011/1
N2 - This letter presents integrating algorithms for affine con straints defined on a manifold. We first explain definition and geomet ric representation of affine constraints. Next, we derive integrating algo rithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially noninte grable. Moreover, we prove the existence of inverse functions in the algo rithms. Some examples are also shown to verify our results.
AB - This letter presents integrating algorithms for affine con straints defined on a manifold. We first explain definition and geomet ric representation of affine constraints. Next, we derive integrating algo rithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially noninte grable. Moreover, we prove the existence of inverse functions in the algo rithms. Some examples are also shown to verify our results.
KW - Geometric representation
KW - Independent first integral
KW - Inte-grating algorithm
KW - Integrable affine constraints
UR - https://www.scopus.com/pages/publications/78650942992
U2 - 10.1587/transfun.E94.A.464
DO - 10.1587/transfun.E94.A.464
M3 - Article
AN - SCOPUS:78650942992
SN - 0916-8508
VL - E94-A
SP - 464
EP - 467
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IS - 1
ER -