Optional quality – a terminal condition!

Quality improvement can't be optional.

BSDEs with weak terminal condition

We introduce a new class of Backward Stochastic Differential Equations in which the T -terminal value YT of the solution (Y, Z) is not fixed as a random variable, but only satisfies a weak constraint of the form E[Ψ(YT )] ≥ m, for some (possibly random) non-decreasing map Ψ and some threshold m. We name them BSDEs with weak terminal condition and obtain a representation of the minimal time t-va...

Boundary Condition Models for Terminal Current Fluctuations

A stochastic approach to a recently proposed model of terminal current fluctuations is presented. Two kinds of boundary conditions suitable for noise simulations in semiconductor devices are proposed. The properties and the domain of application of the two models are investigated and the conclusions are drawn from numerical experiments.

Optional Composition - A Solution to the Optional Feature Problem?

Acknowledgements At this point, I would like to thank Christian Kästner for advising this thesis. Thank you for the discussions about this topic and helpful suggestions. Special thanks for reading all the drafts of this thesis and the critical view, which helped to improve this thesis. I would like to thank my fellow student Christian Becker for the fantastic time during the study. Furthermore,...

Fractional order Adaptive Terminal Sliding Mode Controller Design for MPPT in a Solar Cell under Normal and Partial Shading Condition

In this paper, by combining fractional calculus and sliding mode control theory, a new fractional order adaptive terminal sliding mode controller is proposed for the maximum power point tracking in a solar cell. To find the maximum power point, the incremental conductance method has been used. First, a fractional order terminal sliding mode controller is designed in which the control law depend...