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Stability of a system plays an extremely important part, so it has to be investigated carefully. However, determining stability of a system is not an easy task to do, especially when the system is nonlinear. Lyapunov’s method is an effective approach in doing it. This method is adapted from energ...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/16135 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Stability of a system plays an extremely important part, so it has to be investigated carefully. However, determining stability of a system is not an easy task to do, especially when the system is nonlinear. Lyapunov’s method is an effective approach in doing it. This method is adapted from energy concepts. <br />
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Lyapunov’s method can also be used to determine a region of attraction in which the system is stable, or in particular, asymptotically stable. Despite being an effective, this method still comes up short, especially in finding such a Lyapunov function that satisfies conditions to determine stability of a system. In this final project, some methods to construct Lyapunov function will be studied. Those methods are first integral, Krasovskii, variable gradient, and Zubov’s method. |
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