In this tutorial paper we first present some foundational results regarding the theory of
positive systems. In particular, we present fundamental results regarding stability, positive …

In this article, the issue of control design is addressed for a class of delayed stochastic jump
systems subject to semi-Markov jump parameters. The stochastic jump systems in the …

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 …

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 …

This paper deals with the problem of ℒ∞ control for positive delay systems with semi-
Markov process. The system is subjected to a semi-Markov process that is time-varying …

Classical control theory does not scale well for large systems such as power networks, traffic
networks and chemical reaction networks. However, many such applications in science and …

This paper is concerned with the l 1-gain performance analysis and positive filter design for
a positive discrete-time Markov jump linear system (MJLS) by using a linear programming …

Several results regarding the stability and the stabilization of linear impulsive positive
systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained …

Stabilization and optimal control is studied for state space systems with nonnegative
coefficients (positive systems). In particular, we show that a stabilizing distributed feedback …

This note addresses the stability problem of continuous-time positive systems with time-
varying delays. It is shown that such a system is asymptotically stable for any continuous and …