A New Trajectory Reversing Method for Estimating Stability Regions of Autonomous Nonlinear Systems |
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| Authors: | Loccufier M Noldus E |
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| Institution: | (1) Department of Control Engineering and Automation, Faculty of Applied Sciences, University of Gent, Technologiepark-Zwijnaarde 9, B-9052, Zwijnaarde Gent, Belgium |
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| Abstract: | A new method is presented for estimating regions of asymptoticstability for autonomous nonlinear dynamical systems. The underlyinganalysis uses a combination of Lyapunov theory, simulation and sometopological properties of the stability boundary. The advantages of themethod are the accuracy of estimation of the true stability boundary,its numerical robustness and its applicability to wide classes ofdynamical systems. The main limitation is that a global Lyapunovfunction for the system must be available. |
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| Keywords: | autonomous system stability regions trajectory reversion Lyapunov theory |
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