Title :
Solving the right diophantine equation in a geometric way
Author :
Estrada, Moisés Bonilla
Author_Institution :
CINVESTAV-IPN, Mexico City, Mexico
Abstract :
We find an explicit solution of the right diophantine equation (RDE) in a geometric way in terms of canonical and natural projections, insertion maps, and isomorphisms. This geometric interpretation of the RDE could be a great help in finding easy numerical methods for computation and be useful for apply the linear robust control theory to nonlinear systems
Keywords :
computational geometry; feedback; nonlinear control systems; polynomial matrices; robust control; state-space methods; canonical projections; geometric interpretation; insertion maps; isomorphisms; linear robust control; natural projection; nonlinear systems; output feedback; polynomial matrix; right diophantine equation; state space; Nonlinear equations; Nonlinear systems; Output feedback; PD control; Poles and zeros; Polynomials; Proportional control; Robust control; State feedback; State-space methods;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478748
