Extensions
Lyapunov-based stability of dynamical systems

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S7431 V1 Article

Extensions
Lyapunov-based stability of dynamical systems

Authors : Sophie TARBOURIECH , Christophe PRIEUR

Publication date: September 10, 2026 | Lire en français

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4. Extensions

4.1 Performance and Robustness

Lyapunov theory allows for numerous extensions beyond the stability analysis problems considered so far. For example, one possible generalization of the previous theory concerns the case of time-dependent systems. Thus, instead of studying the system (1), it is possible to study the stability of the origin of the time-dependent system:

x˙(t)  =  f(t,x(t)),
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