### Abstract

This paper focuses on the reinforcement of the quantitative performance in interconnected dynamical systems. The following problem is addressed that concerns dissipativity reinforcement via interconnection: Find a class of subsystems and their interconnection rule such that the L_{2} gain bound of the entire interconnected system is reduced compared with that of each individual subsystem. We assume that each subsystem has a special passivity property that is characterized by two parameters, and has a bounded L_{2} gain. Then, the feedback connection and the more general interconnection of the subsystems are expressed by the transition of the two parameters inheriting the same passivity property. In addition, the L_{2} gain bound of the entire interconnected system, estimated with the parameters, is strictly reduced and becomes less than that of each subsystem. Finally, special interconnection rules are considered to show that the scale-expansion of the interconnected system, i.e., increasing the number of subsystems, gradually reduces the L_{2} gain bound.

Original language | English |
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Pages (from-to) | 73-85 |

Number of pages | 13 |

Journal | Automatica |

Volume | 95 |

DOIs | |

Publication status | Published - 2018 Sep 1 |

### Fingerprint

### Keywords

- Dissipativity
- Large-scale systems
- Network systems
- Passivity
- Stability

### ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering

### Cite this

*Automatica*,

*95*, 73-85. https://doi.org/10.1016/j.automatica.2018.05.006

**Dissipativity reinforcement in interconnected systems.** / Inoue, Masaki; Urata, Kengo.

Research output: Contribution to journal › Article

*Automatica*, vol. 95, pp. 73-85. https://doi.org/10.1016/j.automatica.2018.05.006

}

TY - JOUR

T1 - Dissipativity reinforcement in interconnected systems

AU - Inoue, Masaki

AU - Urata, Kengo

PY - 2018/9/1

Y1 - 2018/9/1

N2 - This paper focuses on the reinforcement of the quantitative performance in interconnected dynamical systems. The following problem is addressed that concerns dissipativity reinforcement via interconnection: Find a class of subsystems and their interconnection rule such that the L2 gain bound of the entire interconnected system is reduced compared with that of each individual subsystem. We assume that each subsystem has a special passivity property that is characterized by two parameters, and has a bounded L2 gain. Then, the feedback connection and the more general interconnection of the subsystems are expressed by the transition of the two parameters inheriting the same passivity property. In addition, the L2 gain bound of the entire interconnected system, estimated with the parameters, is strictly reduced and becomes less than that of each subsystem. Finally, special interconnection rules are considered to show that the scale-expansion of the interconnected system, i.e., increasing the number of subsystems, gradually reduces the L2 gain bound.

AB - This paper focuses on the reinforcement of the quantitative performance in interconnected dynamical systems. The following problem is addressed that concerns dissipativity reinforcement via interconnection: Find a class of subsystems and their interconnection rule such that the L2 gain bound of the entire interconnected system is reduced compared with that of each individual subsystem. We assume that each subsystem has a special passivity property that is characterized by two parameters, and has a bounded L2 gain. Then, the feedback connection and the more general interconnection of the subsystems are expressed by the transition of the two parameters inheriting the same passivity property. In addition, the L2 gain bound of the entire interconnected system, estimated with the parameters, is strictly reduced and becomes less than that of each subsystem. Finally, special interconnection rules are considered to show that the scale-expansion of the interconnected system, i.e., increasing the number of subsystems, gradually reduces the L2 gain bound.

KW - Dissipativity

KW - Large-scale systems

KW - Network systems

KW - Passivity

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85047529918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85047529918&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2018.05.006

DO - 10.1016/j.automatica.2018.05.006

M3 - Article

VL - 95

SP - 73

EP - 85

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -