Electronic Resource
Springer
Journal of optimization theory and applications
99 (1998), S. 681-689
ISSN:
1573-2878
Keywords:
Nonlinear control systems
;
controllability
;
control sets
;
suboptimal periodic controls
;
average functionals
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider the infinite-time optimal control problem of minimizing an average functional for nonlinear control systems. For controllable systems, we give an explicit estimate for the required period T of ɛ-suboptimal T-periodic orbits. Moreover, we show that controllable systems are characterized by the existence of periodic suboptimal trajectories for any average functional.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021707201815
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