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 …

l1-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: A linear programming approach

S Zhu, QL Han, C Zhang - Automatica, 2014 - Elsevier
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 …

Stability analysis for continuous-time positive systems with time-varying delays

X Liu, W Yu, L Wang - IEEE Transactions on Automatic Control, 2010 - ieeexplore.ieee.org
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 …

Positive observers and dynamic output-feedback controllers for interval positive linear systems

Z Shu, J Lam, H Gao, B Du, L Wu - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
This paper is concerned with the design of observers and dynamic output-feedback
controllers for positive linear systems with interval uncertainties. The continuous-time case …

Stability analysis of switched positive systems: a switched linear copositive Lyapunov function method

X Liu - IEEE Transactions on Circuits and Systems II: Express …, 2009 - ieeexplore.ieee.org
This brief addresses the stability problem of discrete-time switched positive systems. The
main contribution lies in two aspects. First, a novel method [the switched linear copositive …

Event-triggered state-feedback and dynamic output-feedback control of PMJSs with intermittent faults

J Zhang, G Zheng, Y Feng… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article proposes the event-triggered state-feedback and dynamic output-feedback
control of positive Markovian jump systems with intermittent actuator and sensor faults. An …

Stability, L1-gain and control synthesis for positive switched systems with time-varying delay

M Xiang, Z Xiang - Nonlinear Analysis: Hybrid Systems, 2013 - Elsevier
Exponential stability, L1-gain performance and controller design problems for a class of
positive switched systems with time-varying delay are investigated in this paper. First, by …

Stability analysis of positive systems with bounded time-varying delays

X Liu, W Yu, L Wang - … Transactions on Circuits and Systems II …, 2009 - ieeexplore.ieee.org
This brief addresses stability of the discrete-time positive systems with bounded time-varying
delays and establishes some necessary and sufficient conditions for asymptotic stability of …

Stability and stabilization of positive switched systems with mode-dependent average dwell time

J Zhang, Z Han, F Zhu, J Huang - Nonlinear Analysis: Hybrid Systems, 2013 - Elsevier
This paper investigates stability and stabilization of positive switched systems with mode-
dependent average dwell time, which permits to each subsystem in the underlying systems …

L1 gain analysis of linear positive systems and its application

Y Ebihara, D Peaucelle… - 2011 50th IEEE …, 2011 - ieeexplore.ieee.org
In this paper, we focus on L 1 gain analysis problems of linear time-invariant continuous-
time positive systems. A positive system is characterized by the strong property that its output …