TY - GEN
T1 - An improved result for the stability of interconnected systems based on a new Gersgorin-type criterion
AU - Dimarogonas, Dimos V.
AU - Kyriakopoulos, Kostas J.
N1 - Publisher Copyright:
© 2007 EUCA.
PY - 2007
Y1 - 2007
N2 - In this short paper, a new Gersgorin-type criterion for eigenvalue inclusion sets is used to derive a new sufficient condition for the positive definiteness of real symmetric matrices. The result is less conservative than the classic strict diagonal dominance criterion imposed by Gersgorin's Theorem. We show that this result can be applied to various classes of interconnected systems, including systems consisting of subsystems with linear and nonlinear interconnection terms. Numerical examples as well as the intuition behind the derived results are also provided.
AB - In this short paper, a new Gersgorin-type criterion for eigenvalue inclusion sets is used to derive a new sufficient condition for the positive definiteness of real symmetric matrices. The result is less conservative than the classic strict diagonal dominance criterion imposed by Gersgorin's Theorem. We show that this result can be applied to various classes of interconnected systems, including systems consisting of subsystems with linear and nonlinear interconnection terms. Numerical examples as well as the intuition behind the derived results are also provided.
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U2 - 10.23919/ecc.2007.7068979
DO - 10.23919/ecc.2007.7068979
M3 - Conference contribution
AN - SCOPUS:84927726157
T3 - 2007 European Control Conference, ECC 2007
SP - 535
EP - 539
BT - 2007 European Control Conference, ECC 2007
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2007 9th European Control Conference, ECC 2007
Y2 - 2 July 2007 through 5 July 2007
ER -