Nonlinear control design for linear differential inclusions via convex hull of quadratics

Automatica ◽  
2007 ◽  
Vol 43 (4) ◽  
pp. 685-692 ◽  
Author(s):  
Tingshu Hu
Keyword(s):  
Convex Hull ◽  
Nonlinear Control ◽  
Differential Inclusions ◽  
Control Design ◽  
Linear Differential Inclusions ◽  
Linear Differential

Algebraic Criteria for Qualitative Analysis of Nonlinear Dynamics in Biochemistry

2008 ◽  
Author(s):  
Kiriakos Kiriakidis ◽  
George Nakos
Keyword(s):  
Nonlinear Dynamics ◽  
Asymptotic Stability ◽  
Convex Hull ◽  
Qualitative Analysis ◽  
Differential Inclusions ◽  
Sufficient Conditions ◽  
Biochemical Reaction ◽  
Aggregate Modeling ◽  
Linear Differential Inclusions ◽  
Linear Differential

Aggregate modeling can approximate the convex hull of local matrices to nonlinear dynamics for any given accuracy. The authors use aggregate models to extend sufficient conditions for asymptotic stability of linear differential inclusions to nonlinear dynamics. An example illustrates the applicability of the proposed criteria to the analysis of nonlinear biochemical reaction chains.

Chemical networks with inflows and outflows: A positive linear differential inclusions approach

2009 ◽  
Vol 25 (3) ◽  
pp. 632-642 ◽  
Author(s):  
David Angeli ◽  
Patrick De Leenheer ◽  
Eduardo D. Sontag
Keyword(s):  
Differential Inclusions ◽  
Linear Differential Inclusions ◽  
Linear Differential
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