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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 6.4

Lie algebras and stability of switched

nonlinear systems

Daniel Liberzon

Coordinated Science Laboratory

University of Illinois at Urbana-Champaign

Urbana, IL 61801

USA

liberzon@uiuc.edu

1 PRELIMINARY DESCRIPTION OF THE PROBLEM

Suppose that we are given a family 17549 of continuously differentiable functions from 17550, parameterized by some index set P. This gives rise to the switched system

-1743743491

where is a piecewise constant function of time, called ...

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