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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Archive of applied mechanics 20 (1952), S. 170-183 
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of dynamical and control systems 1 (1995), S. 581-595 
    ISSN: 1573-8698
    Keywords: 34A60 ; 34C35 ; 93B05 ; Differential inclusion ; control set ; semiflow ; minimal set ; attainable set ; singular perturbation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We consider autonomous differential inclusions on compact Riemannian manifolds and characterize regions of complete controllability, the so-called control sets. Therefore we introduce appropriate dynamical systems and relate control sets to minimal sets. we get robustness and continuity results for control sets under perturbation of the attainable set semiflow. The results are applied to nonlinear singularly perturbed control systems.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    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
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