Stochastic stability of switching linear systems with application to an automotive powertrain model

2021 ◽  
Author(s):  
Alessandro N. Vargas ◽  
Constantin F. Caruntu ◽  
João Y. Ishihara ◽  
Hassane Bouzahir
Keyword(s):  
Linear Systems ◽  
Stochastic Stability ◽  
Automotive Powertrain

ON ESTIMATION OF TRANSIENT STOCHASTIC STABILITY OF LINEAR SYSTEMS

2010 ◽  
Vol 10 (03) ◽  
pp. 385-405
Author(s):  
SK. SAFIQUE AHMAD ◽  
SOUMYENDU RAHA
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Linear Systems ◽  
Stochastic Stability ◽  
Transient Stability ◽  
Stochastic Systems ◽  
Unstable Equilibrium ◽  
Normal System ◽  
Logarithmic Norm ◽  
Transient Stabilization

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.

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