Stability analysis with quadratic Lyapunov functions: Some necessary and sufficient multiplier conditions

@article{Aikmese2008StabilityAW,
  title={Stability analysis with quadratic Lyapunov functions: Some necessary and sufficient multiplier conditions},
  author={Behçet Açikmese and Martin J. Corless},
  journal={Systems & Control Letters},
  year={2008},
  volume={57},
  pages={78-94}
}
In this paper, we present a condition which is both necessary and sufficient for quadratic stability of an uncertain/nonlinear system. This condition is a linear matrix inequality in the Lyapunov matrix and a multiplier matrix associated with the uncertain/nonlinear terms. It is known that this condition is sufficient for quadratic stability. The main contribution of this paper is to demonstrate that it is also a necessary condition, and hence is not a conservative condition for quadratic… CONTINUE READING
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