Abstract
In this work, we propose a measure for estimating the transient stability/stabilization of stochastic systems modeled with linear Itô Stochastic Differential Equations. The measure leads to useful and tractable computation of the stochastic Brockett version of the transient stabilization problems. Some properties and bound estimates of the measure which we call the Stochastic Logarithmic Norm are also discussed. The usefulness of the Stochastic Logarithmic Norm is illustrated with examples of unstable equilibrium systems and a non-normal system.
Published Version
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