TY - GEN
T1 - On input-output negative-imaginary systems and an output strict negative-imaginary lemma
AU - Bhowmick, Parijat
AU - Patra, Sourav
N1 - Funding Information:
The second author gratefully acknowledges the financial support of the Council of Scientific and Industrial Research, India, under the research grant 22(0647)/13/EMR-II.
Publisher Copyright:
© 2016 IEEE.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/3/24
Y1 - 2016/3/24
N2 - In this paper strict negative-imaginariness is defined in input-output sense, which is different from the notion of existing strictly negative-imaginary systems. The class of output strictly negative-imaginary systems is characterized in state-space with respect to a non-negative parameter δ. The newly defined class of output strictly negative-imaginary systems forms an intersection with the existing class of strictly negative-imaginary systems. Further, a time-domain definition is also provided to classify strict and non-strict negative-imaginary systems in dissipative framework which is applicable to both linear and nonlinear cases. Several numerical examples are given to show the usefulness of the key results.
AB - In this paper strict negative-imaginariness is defined in input-output sense, which is different from the notion of existing strictly negative-imaginary systems. The class of output strictly negative-imaginary systems is characterized in state-space with respect to a non-negative parameter δ. The newly defined class of output strictly negative-imaginary systems forms an intersection with the existing class of strictly negative-imaginary systems. Further, a time-domain definition is also provided to classify strict and non-strict negative-imaginary systems in dissipative framework which is applicable to both linear and nonlinear cases. Several numerical examples are given to show the usefulness of the key results.
UR - https://www.scopus.com/pages/publications/84965111507
U2 - 10.1109/INDIANCC.2016.7441125
DO - 10.1109/INDIANCC.2016.7441125
M3 - Conference contribution
AN - SCOPUS:84965111507
T3 - 2016 Indian Control Conference, ICC 2016 - Proceedings
SP - 176
EP - 181
BT - 2016 Indian Control Conference, ICC 2016 - Proceedings
PB - IEEE
T2 - 2nd Indian Control Conference, ICC 2016
Y2 - 4 January 2016 through 6 January 2016
ER -