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
收藏
页码:6382 / 6387
页数:6
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