A decomposition-based approach to stability analysis of large-scale stochastic systems

Author

Ferreira, A.S.R. ; Arcak, Murat ; Sontag, Eduardo D.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA

fYear

2012

fDate

27-29 June 2012

Firstpage

6382

Lastpage

6387

Abstract

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.

Keywords

matrix algebra; nonlinear control systems; stability; stochastic systems; biological reaction network; decomposition-based approach; diagonal stability; dissipativity matrix; equilibrium-independent condition; large-scale nonlinear stochastic system; noise-to-state stability; stability analysis; stochastic passivity property; stochastic stability; Asymptotic stability; Interconnected systems; Noise; Stability analysis; Stochastic processes; Stochastic systems; Thermal stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315416

Filename

6315416