DocumentCode :
1656576
Title :
Numerical Realization of Plane CW Complexes Under a Given `Flow Condition´ in Gradient-like Morse-Smale Controlled Systems
Author :
Ryuji, Enomoto ; Saori, Hamaguchi
Author_Institution :
Toba Nat. Coll. of Maritime Technol., Toba
fYear :
2007
Firstpage :
508
Lastpage :
513
Abstract :
In this paper, we discuss a global stabilization problem for a two-dimensional nonlinear system from the perspective of the ´realization problem of global compact attractors´ in the theory of gradient-like Morse-Smale controlled systems. We give the topological structure of a desired compact attractor using a graphic data of the corresponding normal CW complex. The control system configuration space is the direct-product of the state space and the input space. From the topological intersection theory in the configuration space, we derive a topological obstruction for controlled systems, which called the ´flow condition´. We propose a solving algorithm for this realization problem and discuss some numerical results.
Keywords :
gradient methods; multidimensional systems; nonlinear control systems; stability; state-space methods; topology; 2-dimensional nonlinear system; control system configuration space; flow condition; global compact attractors; global stabilization problem; gradient-like Morse-Smale controlled systems; numerical realization; state space; topological intersection theory; topological obstruction; topological structure; Adaptive control; Control systems; Control theory; Educational institutions; Graphics; Linear feedback control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; State-space methods; Global control; Gradient-like Morse-Smale controlled system; Nonlinear control; Normal CW complex;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
Type :
conf
DOI :
10.1109/CHICC.2006.4347561
Filename :
4347561
Link To Document :
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