Necessary Conditions for an Extremum, Pshenichnyi,

Автор: Pshenichnyi, B.N.
Название: Necessary Conditions for an Extremum
ISBN: 082471556X ISBN-13(EAN): 9780824715564
Издательство: Taylor&Francis
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Автор: D. Louvish; I. V. Girsanov
Название: Lectures on Mathematical Theory of Extremum Problems
ISBN: 3540058575 ISBN-13(EAN): 9783540058571
Издательство: Springer
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Описание: The author of this book, Igor` Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional- analytic approach.

Автор: Scheinker
Название: Model-Free Stabilization by Extremum Seeking
ISBN: 3319507893 ISBN-13(EAN): 9783319507897
Издательство: Springer
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Описание: With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system’s control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge of, the system model. Instead, it employs periodic perturbation signals, along with the clf. The same effect is achieved as by using clf-based feedback laws that profit from modeling knowledge, but in a time-average sense. Rather than use integrals of the systems vector field, we employ Lie-bracket-based (i.e., derivative-based) averaging.The brief contains numerous examples and applications, including examples with unknown control directions and experiments with charged particle accelerators. It is intended for theoretical control engineers and mathematicians, and practitioners working in various industrial areas and in robotics.

Автор: Olli Tammi
Название: Extremum Problems for Bounded Univalent Functions II
ISBN: 3540112006 ISBN-13(EAN): 9783540112006
Издательство: Springer
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Автор: Shu-Jun Liu; Miroslav Krstic
Название: Stochastic Averaging and Stochastic Extremum Seeking
ISBN: 1447161858 ISBN-13(EAN): 9781447161851
Издательство: Springer
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Описание: This book develops stochastic averaging theorems and stochastic extremum-seeking algrithms, illustrating their use in a variety of models. Includes simulation examples based in bacterial locomotion, multi-agent robotic systems, and economic market models.

Автор: H. W. Knobloch
Название: Higher Order Necessary Conditions in Optimal Control Theory
ISBN: 3540109854 ISBN-13(EAN): 9783540109853
Издательство: Springer
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