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    Chapter and Conference Paper

    Computational Study on Two Dimensional Electrothermal Deicing Problem

    For airplane deicing problem, two dimensional electrothermal deicing model is established. The numerical study on heat transfer characteristics during electrothermal deicing process is presented. The Enthalpy-...

    Chunhua **ao, Kunlong Yu, Yubiao Jiang in The Proceedings of the 2018 Asia-Pacific I… (2019)

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    Book

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    Chapter

    Maximum Principle of Optimal Controls

    In this chapter, we will present some first-order necessary conditions on time optimal controls for some evolution systems. Such necessary conditions are referred to as Pontryagin’s maximum principle, which ...

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)

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    Chapter

    Bang-Bang Property of Optimal Controls

    In this chapter, we will study the bang-bang property of some time optimal control problems. The bang-bang property of such a problem says, in plain language, that any optimal control reaches the boundary of t...

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)

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    Chapter

    Mathematical Preliminaries

    In this chapter, we recall some basic concepts and results which are necessary for the presentation of the theories in the later chapters.

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)

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    Chapter

    Existence of Admissible Controls and Optimal Controls

    In this chapter, we will study the existence of admissible controls and optimal controls for Problem (TP) (given by (2.4) in Chapter 1) for some special cases.

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)

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    Chapter

    Equivalence of Several Kinds of Optimal Controls

    Connections of time optimal control problems with other kinds of optimal control problems can allow us to get properties for one kind of optimal control problems through studying another kind of optimal cont...

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)

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    Chapter

    Time Optimal Control Problems

    In this chapter, we devote to introduce time optimal control problem.

    Gengsheng Wang, Lijuan Wang, Yashan Xu in Time Optimal Control of Evolution Equations (2018)