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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-...
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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 ...
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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...
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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.
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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.
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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...
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Chapter
Time Optimal Control Problems
In this chapter, we devote to introduce time optimal control problem.