کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5002284 | 1368452 | 2016 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Computation of Lyapunov functions for nonlinear differential equations via a Yoshizawa-type construction
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Computation of Lyapunov functions for nonlinear differential equations via a Yoshizawa-type construction Computation of Lyapunov functions for nonlinear differential equations via a Yoshizawa-type construction](/preview/png/5002284.png)
چکیده انگلیسی
An approach for computing Lyapunov functions for nonlinear continuous-time differential equations is developed via an alternative Yoshizawa-type construction. This construction is enabled by imposing a finite-time criterion on the integrated function. By means of this approach, we relax the assumption of exponential stability on the system dynamics, while still allowing computation over a finite time interval. The resulting Lyapunov function can be computed based on any Kâ-function of the norm of the solution of the system. In addition, we show how the developed converse theorem can be used to construct an estimate of the domain of attraction. Finally, some examples are worked out to demonstrate the efficiency and improvement in computations of the proposed approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: IFAC-PapersOnLine - Volume 49, Issue 18, 2016, Pages 29-34
Journal: IFAC-PapersOnLine - Volume 49, Issue 18, 2016, Pages 29-34
نویسندگان
Alina I. Doban, Mircea Lazar,