By Topic

L_{2} -stability of linear time-varying systems--Conditions involving noncausal multipliers

Sign In

Full text access may be available.

To access full text, please use your member or institutional sign in.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Sundareshan, Malur K. ; Indian Institute of Science, Bangalore, India ; Thathachar, M.

New criteria in the multiplier form are presented for the input-output stability in the L2-space of a linear system with a time-varying element k(t) in a feedback loop. These are sufficient conditions for the system stability and involve conditions on the shifted imaginary-axis behavior of the multipliers. The criteria permit the use of noncausal multipliers, and it is shown that this necessitates dk/dt to be bounded from above as well as from below. The method of derivation draws on the theory of positivity of compositions of operators and time-varying gains, and the results are shown to be more general than the existing criteria.

Published in:

Automatic Control, IEEE Transactions on  (Volume:17 ,  Issue: 4 )