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Giulia Giordano Department of Mathematics, Computer Science and Physics Department of Automatic Control and LCCC Linnaeus Center Structural Analysis of Dynamical Networks: BDC-Decomposition and Influence Matrix Franco Blanchini Lund University University of Udine Graph Representation Example: biochemical reaction network THE BDC-DECOMPOSITION From local to global BDC-based computation of Polyhedral Lyapunov Functions for structural stability Polyhedral… why? Structural Steady-State Influence: BDC-based computation Structural Influence Matrix References [email protected] [email protected] diagonal

New Structural Analysis of Dynamical Networks: BDC …giulia.giordano/docs/Giulia... · 2017. 1. 10. · Blanchini, F. and Giordano, G. (2015a). Polyhedral Lyapunov functions for

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Page 1: New Structural Analysis of Dynamical Networks: BDC …giulia.giordano/docs/Giulia... · 2017. 1. 10. · Blanchini, F. and Giordano, G. (2015a). Polyhedral Lyapunov functions for

Giulia GiordanoDepartment of Mathematics,

Computer Science and Physics

Department of Automatic Control

and LCCC Linnaeus Center

Structural Analysis of Dynamical Networks:

BDC-Decomposition and Influence MatrixFranco Blanchini

Lund University University of Udine

Graph Representation

Example: biochemical reaction networkTHE BDC-DECOMPOSITION

From local to global

BDC-based computation of Polyhedral

Lyapunov Functions for structural stability

Polyhedral… why?

Structural Steady-State Influence:

BDC-based computation

Structural Influence Matrix

References

[email protected]@uniud.it

diagonal