Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results
| Autor: | Takahiro Kikuchi, Izumi Masubuchi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
nonlinear time-varying systems Control and Optimization almost attraction Applied Mathematics stability periodically time-varying systems Stability (probability) Lyapunov density Nonlinear system symbols.namesake Converse Convergence (routing) symbols Applied mathematics Mathematics |
| Zdroj: | SIAM Journal on Control and Optimization. 59(1):223-241 |
| ISSN: | 0363-0129 |
| Popis: | This paper presents criteria for the convergence of trajectories of time-varying nonlinear systems in terms of Lyapunov densities. The results are provided without assuming local stability and forward completeness of trajectories. As well as general time-varying nonlinear systems, periodically time-varying systems are also considered in this paper, where a weaker criterion is proposed for periodically time-varying systems. Also the existence of Lyapunov densities is proved for general and periodic time-varying nonlinear systems under the asymptotic stability of the equilibrium. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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