TY - JOUR
T1 - Distributed Stabilization of Two Interdependent Markov Jump Linear Systems with Partial Information
AU - Peng, Guanze
AU - Chen, Juntao
AU - Zhu, Quanyan
N1 - Funding Information:
Manuscript received March 16, 2020; revised May 22, 2020; accepted June 9, 2020. Date of publication June 24, 2020; date of current version July 10, 2020. This work was supported in part by National Science Foundation under Grant CNS-1544782, Grant SES-1541164, and Grant ECCS-1847056, and in part by the U.S. Department of Homeland Security under Award 2015-ST-061-CIRC01. Recommended by Senior Editor V. Ugrinovskii. (Corresponding author: Guanze Peng.) Guanze Peng and Quanyan Zhu are with the Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University, Brooklyn, NY 11201 USA (e-mail: guanze.peng@nyu.edu; qz494@nyu.edu).
Publisher Copyright:
© 2017 IEEE.
PY - 2021/4
Y1 - 2021/4
N2 - In this letter, we study the stabilization of two interdependent Markov jump linear systems (MJLSs) with partial information, where the interdependency arises as the transition of the mode of one system depends on the states of the other system. First, we formulate a framework for the two interdependent MJLSs to capture the interactions between various entities in the system, where the modes of the system cannot be observed directly. Instead, a signal which contains information of the modes can be observed. Then, depending on the scope of the available system state information (global or local), we design centralized and distributed controllers, respectively, that can stochastically stabilize the overall interdependent MJLS. In addition, we derive the sufficient stabilization conditions for the system under both types of information structure. Finally, we use a numerical example to illustrate the effectiveness of the designed controllers.
AB - In this letter, we study the stabilization of two interdependent Markov jump linear systems (MJLSs) with partial information, where the interdependency arises as the transition of the mode of one system depends on the states of the other system. First, we formulate a framework for the two interdependent MJLSs to capture the interactions between various entities in the system, where the modes of the system cannot be observed directly. Instead, a signal which contains information of the modes can be observed. Then, depending on the scope of the available system state information (global or local), we design centralized and distributed controllers, respectively, that can stochastically stabilize the overall interdependent MJLS. In addition, we derive the sufficient stabilization conditions for the system under both types of information structure. Finally, we use a numerical example to illustrate the effectiveness of the designed controllers.
KW - Interdependent systems
KW - Markov jump linear systems
KW - distributed stabilization
KW - partial information
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U2 - 10.1109/LCSYS.2020.3004649
DO - 10.1109/LCSYS.2020.3004649
M3 - Article
AN - SCOPUS:85089185066
VL - 5
SP - 713
EP - 718
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
SN - 2475-1456
IS - 2
M1 - 9123919
ER -