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arXiv · 1109.3070

Sufficient conditions for the genericity of feedback stabilisability of switching systems via Lie-algebraic solvability

Hernan Haimovich·Julio H. Braslavsky
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Abstract

This paper addresses the stabilisation of discrete-time switching linear systems (DTSSs) with control inputs under arbitrary switching, based on the existence of a common quadratic Lyapunov function (CQLF). The authors have begun a line of work dealing with control design based on the Lie-algebraic solvability property. The present paper expands on earlier work by deriving sufficient conditions under which the closed-loop system can be caused to satisfy the Lie-algebraic solvability property generically, i.e. for almost every set of system parameters, furthermore admitting straightforward and efficient numerical implementation.

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Hernan Haimovich, Julio H. Braslavsky. 2011-09-14. Sufficient conditions for the genericity of feedback stabilisability of switching systems via Lie-algebraic solvability. https://arxiv.org/abs/1109.3070

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