On the Joint Spectral Radius for Bounded Matrix Languages




Bell Paul C, Halava Vesa, Hirvensalo Mika

2010

Lecture Notes in Computer Science

REACHABILITY PROBLEMS

LECT NOTES COMPUT SC

6227

91

103

2

978-3-642-15348-8

0302-9743



This has an interpretation in terms of a control problem for a switched linear system with a fixed and finite number of switching operations; if we fix the maximum number of switching operations in advance, then determining convergence to the origin for all initial points is decidable whereas determining boundedness of all initial points is undecidable.



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