Stability of switched positive linear systems with average dwell time switching
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 …
(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 …
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
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 …
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 …
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 …
systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained …
Improved results on stability of continuous-time switched positive linear systems
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 …
arbitrary switching are investigated in a continuous-time context. The so-called “copositive …
Linear copositive Lyapunov functions for continuous-time positive switched systems
Continuous-time positive systems, switching among p subsystems, are introduced, and a
complete characterization for the existence of a common linear copositive Lyapunov function …
complete characterization for the existence of a common linear copositive Lyapunov function …
Stability and stabilizability criteria for discrete-time positive switched systems
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 …
autonomous positive subsystems. First, sufficient conditions for testing stability, based on the …