Stability Analysis of Second-Order Switched Homogeneous Systems

Authors:
David Holcman;Michael Margaliot
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
2002

Citing 0
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Abstract

We study the stability of second-order switched homogeneous systems. Using the concept of generalized first integrals we explicitly characterize the "most destabilizing" switching-law and construct a Lyapunov function that yields an easily verifiable, necessary and sufficient condition for asymptotic stability. Using the duality between stability analysis and control synthesis, this also leads to a novel algorithm for designing a stabilizing switching controller.