عنوان

One dimensional coupled vibrating systems with control applied at the coupled points

شماره

TLpq231535088

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

One dimensional coupled vibrating systems with control applied at the coupled points

نام عام مواد

[Thesis]

نام نخستين پديدآور

L. Jamiiru

نام ناشر، پخش کننده و غيره

King Fahd University of Petroleum and Minerals (Saudi Arabia)

تاریخ نشرو بخش و غیره

1995

نام خاص و کميت اثر

88

جزئيات پايان نامه و نوع درجه آن

M.S.

کسي که مدرک را اعطا کرده

King Fahd University of Petroleum and Minerals (Saudi Arabia)

امتياز متن

1995

متن يادداشت

Many flexible structures consist of a large number of components coupled end to end in the form of a chain. In this study, we consider a type of such structures formed by N one-dimensional coupled structures, with (N 1) controllers at the coupled points. A maximum principle is developed for a class of such optimal problems governed by N linear hyperbolic partial differential equations of second order in time and fourth order in space with variable coefficients. The solution of the optimal control problem is shown to be unique using convexity arguments. The solution for a special class of optimal control problems is obtained using the maximum principle. This solution involves reducing the original problem to a system of ordinary differential equations. For comparative studies, the special problem is solved by the variational approach. The effectiveness of these approaches is demonstrated by means of a numerical solution for controlling the vibrations of two strings that are coupled at the connecting point.

موضوع مستند نشده

Applied sciences

موضوع مستند نشده

Civil engineering

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Mechanics

موضوع مستند نشده

Pure sciences

مستند نام اشخاص تاييد نشده

L. Jamiiru

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y