A cone-copositive approach for the stability of piecewise linear differential inclusions

2011 ◽  
Author(s):  
Raffaele Iervolino ◽  
Francesco Vasca ◽  
Luigi Iannelli
Keyword(s):  
Differential Inclusions ◽  
Piecewise Linear ◽  
Linear Differential Inclusions ◽  
Linear Differential ◽  
The Stability

scholarly journals Quadratic Stability of Non-Linear Systems Modeled with Norm Bounded Linear Differential Inclusions

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1432
Author(s):  
Mutti-Ur Rehman ◽  
Jehad Alzabut ◽  
Arfan Hyder
Keyword(s):  
Dynamical Systems ◽  
Differential Inclusions ◽  
Bounded Linear ◽  
Linear Dynamical Systems ◽  
Quadratic Stability ◽  
Linear Differential Inclusions ◽  
Non Linear ◽  
Linear Differential ◽  
The Stability ◽  
Non Linear System

In this article we present an ordinary differential equation based technique to study the quadratic stability of non-linear dynamical systems. The non-linear dynamical systems are modeled with norm bounded linear differential inclusions. The proposed methodology reformulate non-linear differential inclusion to an equivalent non-linear system. Lyapunov function demonstrate the existence of a symmetric positive definite matrix to analyze the stability of non-linear dynamical systems. The proposed method allows us to construct a system of ordinary differential equations to localize the spectrum of perturbed system which guarantees the stability of non-linear dynamical system.

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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