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What is Stability of Nonlinear Time-Varying Systems about?

This paper presents a generalized Lyapunov function approach for the stability analysis of nonlinear time-varying systems, allowing for indefinite time-derivatives of the Lyapunov functions. It explores various stability concepts, including asymptotic and input-to-state stability, and provides theorems that extend previous work by accommodating both positive and negative values in the time-derivative. The effectiveness of the proposed methods is demonstrated through numerical examples, highlighting their ad

Author

Rachana Shokhanda

Language

EN