Control and Optimization (Applied Mathematics and Mathematical Computation Series)

B. D. Craven (auth.)

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نویسنده: B. D. Craven (auth.)
ناشر: Springer US
سال انتشار: ۱۹۹۵
فرمت: PDF
زبان: انگلیسی
تعداد صفحات: ۹ صفحه
حجم فایل: ۶٫۳ مگابایت
شابک: 9780412558900، 9781489972262، 0412558904، 1489972269

دربارهٔ کتاب

"Control and Optimization presents a systematic account of optimal control theory, with emphasis on its connections with other optimization questions. Also covered are a diversity of applications and worked examples, an examination of good computing methods and how they work, and a study of sensitivity - what happens when the system is perturbed - and includes some new previously unpublished results." "Mathematics students at senior undergraduate or graduate level in particular will find this book useful. A background in linear algebra, a little basic functional analysis and some linear programming is assumed."--Jacket Content: Front Matter....Pages i-x Optimization — ideas and background....Pages 1-21 Optimal control models....Pages 22-39 Convexity, linearization and multipliers....Pages 40-80 Optimality conditions for control problems....Pages 81-109 Worked examples of control problems....Pages 110-127 Algorithms for control problems....Pages 128-168 Proof of Pontryagin theory and related results....Pages 169-190 Back Matter....Pages 191-193 This text presents a systematic account of optimal control theory with emphasis on its connections with other optimization questions. It includes some new and previously unpublished results as well as worked examples and exercises. Many questions in management and planning lead to mathematical models requiring optimization.

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