Design of interval observers for uncertain dynamical systems
Interval state observers provide an estimate on the set of admissible values of the state
vector at each instant of time. Ideally, the size of the evaluated set is proportional to the …
vector at each instant of time. Ideally, the size of the evaluated set is proportional to the …
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 …
Stability analysis for continuous-time positive systems with time-varying delays
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 …
varying delays. It is shown that such a system is asymptotically stable for any continuous and …
Stability of a class of switched positive linear time‐delay systems
This paper addresses the problem of stability for a class of switched positive linear time‐
delay systems. As first attempt, the Lyapunov–Krasovskii functional is extended to the …
delay systems. As first attempt, the Lyapunov–Krasovskii functional is extended to the …
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 …
main contribution lies in two aspects. First, a novel method [the switched linear copositive …
Improved stability criteria for switched positive linear systems with average dwell time switching
In this paper, stability analysis for switched positive linear systems (SPLSs) with average
dwell time switching is revisited and discussed in both continuous-time and discrete-time …
dwell time switching is revisited and discussed in both continuous-time and discrete-time …
Stability analysis of positive systems with bounded time-varying delays
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 …
delays and establishes some necessary and sufficient conditions for asymptotic stability of …
-Stochastic Stability and -Gain Performance of Positive Markov Jump Linear Systems With Time-Delays: Necessary and Sufficient Conditions
This paper is concerned with L 1-stochastic stability and L 1-gain performance analysis of a
continuous-time positive Markov jump linear system with a time-delay. By constructing a …
continuous-time positive Markov jump linear system with a time-delay. By constructing a …
Constrained control of positive systems with delays
X Liu - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This technical note addresses controller design for continuous-time delayed linear systems.
The control is under positivity constraint, which means that the resulting closed-loop systems …
The control is under positivity constraint, which means that the resulting closed-loop systems …
Exponential L1 output tracking control for positive switched linear systems with time-varying delays
S Liu, Z Xiang - Nonlinear Analysis: Hybrid Systems, 2014 - Elsevier
The problem of exponential L 1 output tracking control for positive switched linear systems
with time-varying delays is addressed in this paper. The exponential L 1-gain performance …
with time-varying delays is addressed in this paper. The exponential L 1-gain performance …