کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893350 1044080 2009 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chaos control and synchronization for a special generalized Lorenz canonical system – The SM system
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Chaos control and synchronization for a special generalized Lorenz canonical system – The SM system
چکیده انگلیسی

This paper presents some simple feedback control laws to study global stabilization and global synchronization for a special chaotic system described in the generalized Lorenz canonical form (GLCF) when τ = −1 (which, for convenience, we call Shimizu–Morioka system, or simply SM system). For an arbitrarily given equilibrium point, a simple feedback controller is designed to globally, exponentially stabilize the system, and reach globally exponent synchronization for two such systems. Based on the system’s coefficients and the structure of the system, simple feedback control laws and corresponding Lyapunov functions are constructed. Because all conditions are obtained explicitly in terms of algebraic expressions, they are easy to be implemented and applied to real problems. Numerical simulation results are presented to verify the theoretical predictions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 39, Issue 5, 15 March 2009, Pages 2491–2508
نویسندگان
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