157 research outputs found

    Characterization of the Darboux point for particular classes of problems

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    A minimal sufficient condition for global optimality involving the Darboux point, analogous to the minimal sufficient condition of local optimality involving the conjugate point, is presented. The Darboux point is then characterized for optimal control problems with linear dynamics, cost functionals with a general terminal state term and an integrand quadratic in the state and control, and general terminal conditions. The Darboux point is shown to be the supremum of a sequence of conjugate points. If the terminal state term is quadratic, along with a scalar quadratic boundary condition, then the Darboux point is also the time at which the Riccati matrix becomes unbounded, giving a characterization of the unboundedness of the Riccati matrix at points which are not in general conjugate points.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45212/1/10957_2004_Article_BF01268173.pd

    Comment on "A Test for the Sign of the Second Variation"

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    Feminist Peer Counseling: A Training Manual for Volunteer Groups

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    This project was developed in response to requests for training from volunteer groups that formed to meet the needs of the emerging woman, the formerly silent woman. The woman who has been battered, abandoned, raped, exploited, a victim of incest, underemployed, isolated or troubled by shifting values in a transitioning society - the woman who is learning to voice her at-first timid request for help
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