Stability of switched positive linear systems with average dwell time switching

X Zhao, L Zhang, P Shi, M Liu - Automatica, 2012 - Elsevier
In this paper, the stability analysis problem for a class of switched positive linear systems
(SPLSs) with average dwell time switching is investigated. A multiple linear copositive …

Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1‐gain and L‐gain characterization

C Briat - International Journal of Robust and Nonlinear Control, 2013 - Wiley Online Library
Copositive linear Lyapunov functions are used along with dissipativity theory for stability
analysis and control of uncertain linear positive systems. Unlike usual results on linear …

Discrete‐time control for switched positive systems with application to mitigating viral escape

E Hernandez‐Vargas, P Colaneri… - … journal of robust and …, 2011 - Wiley Online Library
This paper has been motivated by the problem of viral mutation in HIV infection. Under
simplifying assumptions, viral mutation treatment dynamics can be viewed as a positive …

Stability analysis of positive switched linear systems with delays

X Liu, C Dang - IEEE Transactions on Automatic Control, 2011 - ieeexplore.ieee.org
This technical note addresses the stability problem of delayed positive switched linear
systems whose subsystems are all positive. Both discrete-time systems and continuous-time …

Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems

C Briat - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
Several results regarding the stability and the stabilization of linear impulsive positive
systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained …

Improved results on stability of continuous-time switched positive linear systems

X Zhao, X Liu, S Yin, H Li - Automatica, 2014 - Elsevier
In this paper, the problems of stability for switched positive linear systems (SPLSs) under
arbitrary switching are investigated in a continuous-time context. The so-called “copositive …

Linear copositive Lyapunov functions for continuous-time positive switched systems

E Fornasini, ME Valcher - IEEE Transactions on Automatic …, 2010 - ieeexplore.ieee.org
Continuous-time positive systems, switching among p subsystems, are introduced, and a
complete characterization for the existence of a common linear copositive Lyapunov function …

Stability and stabilizability criteria for discrete-time positive switched systems

E Fornasini, ME Valcher - IEEE Transactions on Automatic …, 2011 - ieeexplore.ieee.org
In this paper we consider the class of discrete-time switched systems switching between p
autonomous positive subsystems. First, sufficient conditions for testing stability, based on the …