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Stability Analysis of Dissipative Systems Subject to Nonlinear Damping via Lyapunov Techniques

Stability Analysis of Dissipative Systems Subject to Nonlinear Damping via Lyapunov Techniques

In this paper, we provide a general strategy based on Lyapunov functionals to analyze global asymptotic stability of linear infinite-dimensional systems subject to nonlinear dampings under the assumption that the origin of the system is globally asymptotically stable with a linear damping. To do so, we use the fact that …