A Decomposition-Based Approach to Stability Analysis of Large-Scale Stochastic Systems

被引：0

作者：

Ferreira, Ana Sofia Rufino ^{[1
]}

Arcak, Murat ^{[1
]}

Sontag, Eduardo D. ^{[2
]}

机构：

[1] Univ Calif Berkeley, Dept Electr Eng & Comput Sci, Berkeley, CA 94720 USA

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ USA

来源：

2012 AMERICAN CONTROL CONFERENCE (ACC) | 2012年

关键词：

COUPLED CHEMICAL-REACTIONS; INPUT-OUTPUT STABILITY; FEEDBACK SYSTEMS; STABILIZATION; CRITERION; NETWORKS; EQUATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyse the stability of large-scale nonlinear stochastic systems using appropriate stochastic passivity properties of their subsystems and the structure of their interactions. Stochastic stability, and noise-to-state stability, of the network is established from the diagonal stability of a dissipativity matrix that incorporates information about the passivity properties of the subsystems and their interconnection. Next, equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems are derived. Finally, the decomposition-based approach is illustrated on a class of biological reaction networks.

引用

页码：6382 / 6387

页数：6

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