Remarks On The Generalized Lyapunov Operator Spectral Radius Stabilizability Condition in Switched Linear Systems | IEEE Conference Publication | IEEE Xplore

Remarks On The Generalized Lyapunov Operator Spectral Radius Stabilizability Condition in Switched Linear Systems


Abstract:

The generalized Lyapunov operator spectral radius stabilizability condition, which is a sufficient condition for state-feedback exponential stabilizability in discrete-ti...Show More

Abstract:

The generalized Lyapunov operator spectral radius stabilizability condition, which is a sufficient condition for state-feedback exponential stabilizability in discrete-time switched linear systems, is considered and characterized in the present communication. It is shown that a switched linear system obeys the spectral radius stabilizability condition if and only if the considered switched system has a (finite length) transition matrix having spectral radius smaller than one. It is also proved that the satisfaction of the spectral radius stabilizability condition can be characterized in terms of a new (here introduced) sequence associated to the considered switched system. It is moreover shown that the solvability of a new dynamic programming equation, associated to the considered switched system, is a necessary and sufficient condition for the satisfaction of the spectral radius stabilizability condition.
Date of Conference: 10-12 July 2019
Date Added to IEEE Xplore: 29 August 2019
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Conference Location: Philadelphia, PA, USA

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