TY - GEN
T1 - Stability analysis of neutral type time-delay positive systems
AU - Ebihara, Yoshio
AU - Nishio, Naoya
AU - Hagiwara, Tomomichi
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 25420436.
Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - This chapter is concerned with asymptotic stability analysis of neutral type time-delay positive systems (TDPSs). We focus on a neutral type TDPS represented by a feedback system constructed from a finite-dimensional LTI positive system and the pure delay, and give a necessary and sufficient condition for the stability. In the case where we deal with a retarded type TDPS, i.e., if the direct-feedthrough term of the finite-dimensional LTI positive system is zero, it is well known that the retarded type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable. In the case of neutral type TDPS, i.e., if the direct-feedthrough term is nonzero, however, we clarify that the neutral type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable and the direct-feedthrough term is Schur stable. Namely, we need additional condition on the direct-feedthrough term.
AB - This chapter is concerned with asymptotic stability analysis of neutral type time-delay positive systems (TDPSs). We focus on a neutral type TDPS represented by a feedback system constructed from a finite-dimensional LTI positive system and the pure delay, and give a necessary and sufficient condition for the stability. In the case where we deal with a retarded type TDPS, i.e., if the direct-feedthrough term of the finite-dimensional LTI positive system is zero, it is well known that the retarded type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable. In the case of neutral type TDPS, i.e., if the direct-feedthrough term is nonzero, however, we clarify that the neutral type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable and the direct-feedthrough term is Schur stable. Namely, we need additional condition on the direct-feedthrough term.
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U2 - 10.1007/978-3-319-54211-9_6
DO - 10.1007/978-3-319-54211-9_6
M3 - Conference contribution
AN - SCOPUS:85017510470
SN - 9783319542102
T3 - Lecture Notes in Control and Information Sciences
SP - 67
EP - 79
BT - Positive Systems - Theory and Applications, POSTA 2016
A2 - Germani, Alfredo
A2 - Cacace, Filippo
A2 - Setola, Roberto
A2 - Farina, Lorenzo
PB - Springer Verlag
T2 - 5th International Symposium on Positive Systems, POSTA 2016
Y2 - 14 September 2016 through 16 September 2016
ER -