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  • 1
    Electronic Resource
    Electronic Resource
    Time-optimal control under state-dependent control restraints (1978)
    Springer
    Journal of optimization theory and applications 24 (1978), S. 585-606 
    Details
    ISSN: 1573-2878
    Keywords: State-dependent control restraints ; state restraints ; maximality ; time-optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the control system $$\dot x = Ax + Bu,$$ subject to the state-dependent control restraint $$u(t) \in \Omega \cap (\mathcal{H}{\text{ + }}Cx(t)\} ,$$ where Ω is a compact convex set, ℋ is a subspace, andC is a matrix. The existence of time-optimal maximal controls is proven. A natural application of this result is in solving time-optimal problems under the control restraintu(t)∈Ω and the requirement that the outputy=Sx be maintained at zero during the transfer, whereS is a given matrix. An example is provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935301
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