Stability certification of large scale stochastic systems using dissipativity

被引：15
|
作者：
Ferreira, Ana Sofia Rufino [1 ]
Arcak, Murat [1 ]
Sontag, Eduardo D. [2 ]
机构：
[1] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
来源：
AUTOMATICA | 2012年 / 48卷 / 11期
关键词：
Large-scale systems; Networks and interconnections; Stochastic stability; Passivity; Biochemical reactions; STABILIZATION; CRITERION; EQUATION;
D O I：
10.1016/j.automatica.2012.07.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we analyse the stability of large-scale nonlinear stochastic systems, represented as an interconnection of lower-order stochastic subsystems. Stochastic stability in probability and noise-to-state stability are addressed, and sufficient conditions for the latter are provided. The method proposed proves network stability by using appropriate stochastic passivity properties of its subsystems, and the structure of its interactions. Stability properties are established by the diagonal stability of a dissipativity matrix, which incorporates information about the passivity properties of the systems and their interconnection. Next, we derive equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems. Finally, we illustrate the proposed approach on a class of biological reaction networks. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2956 / 2964
页数：9
相关论文
共 50 条
  • [1] On stability and dissipativity of stochastic nonlinear systems
    Wu, Zhaojing
    Shi, Peng
    Karimi, Hamid Reza
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 4029 - 4034
  • [2] Compositional abstraction of large-scale stochastic systems: A relaxed dissipativity approach
    Lavaei, Abolfazl
    Soudjani, Sadegh
    Zamani, Majid
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 36
  • [3] From Dissipativity Theory to Compositional Synthesis of Large-Scale Stochastic Switched Systems
    Lavaei, Abolfazl
    Zamani, Majid
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (09) : 4422 - 4437
  • [4] STABILITY ANALYSIS OF STOCHASTIC LARGE-SCALE SYSTEMS
    MICHEL, AN
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (02): : 113 - 123
  • [5] CONNECTIVE STABILITY OF LARGE-SCALE STOCHASTIC SYSTEMS
    LADDE, GS
    SILJAK, DD
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1975, 6 (08) : 713 - 721
  • [6] Compositional Construction of Finite MDPs for Large-Scale Stochastic Switched Systems: A Dissipativity Approach
    Lavaei, Abolfazl
    Zamani, Majid
    IFAC PAPERSONLINE, 2019, 52 (03): : 31 - 36
  • [7] Distributed Stabilization by Probability Control for Deterministic-Stochastic Large Scale Systems: Dissipativity Approach
    Tsumura, Koji
    Nguyen, Binh Minh
    Wakayama, Hisaya
    Hara, Shinji
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 1884 - 1889
  • [8] Compositional Design and Verification of Large-Scale Systems Using Dissipativity Theory
    Arcak, Murat
    IEEE CONTROL SYSTEMS MAGAZINE, 2022, 42 (02): : 51 - 62
  • [9] Dissipativity Analysis of Large-Scale Networked Systems
    Sun, Yuanfei
    Wang, Jirong
    Liu, Huabo
    APPLIED SCIENCES-BASEL, 2023, 13 (02):
  • [10] Symmetry in the Design of Large-scale Complex Control Systems: Some Initial Results using Dissipativity and Lyapunov Stability
    Wu, Po
    Antsaklis, Panos J.
    18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 197 - 202
12345