کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5002281 1368452 2016 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of continuous and piecewise affine Lyapunov functions via a finite-time converse
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Construction of continuous and piecewise affine Lyapunov functions via a finite-time converse
چکیده انگلیسی
A novel numerical Massera-type approach for the computation of Lyapunov functions (LFs) for nonlinear continuous-time systems is presented. The construction is enabled by verifying a finite-time decrease condition for a candidate function, which is allowed to be any K∞ function of the norm of the state, and applying a converse Lyapunov theorem. In the construction we make use of approximated system trajectories and we obtain a continuous and piecewise affine (CPA) LF. By optimization, the obtained CPA LF is verified and an estimate of the domain of attraction is obtained. Several examples are presented for illustration and demonstration of the effectiveness of the proposed approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: IFAC-PapersOnLine - Volume 49, Issue 18, 2016, Pages 13-18
نویسندگان
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