A new approach to design interval observers for linear systems

F Cacace, A Germani, C Manes - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Interval observers are dynamic systems that provide upper and lower bounds of the true
state trajectories of systems. In this work we introduce a technique to design interval …

L∞-gain analysis for positive systems with distributed delays

J Shen, J Lam - Automatica, 2014 - Elsevier
This paper addresses the L∞-gain analysis problem of positive linear systems with
distributed delays. By virtue of the positivity and linearity of the system, we first study the …

An effective method to interval observer design for time-varying systems

REH Thabet, T Raissi, C Combastel, D Efimov… - Automatica, 2014 - Elsevier
An interval observer for Linear Time-Varying (LTV) systems is proposed in this paper.
Usually, the design of such observers is based on monotone systems theory. Monotone …

Event-triggered control for discrete-time systems with unknown nonlinearities: An interval observer-based approach

G Wei, L Liu, L Wang, D Ding - International Journal of Systems …, 2020 - Taylor & Francis
This paper is concerned with the interval observer-based control for a class of nonlinear
systems with unknown nonlinearities. For the purpose of effectively reducing network …

Interval peak-to-peak observers for continuous-and discrete-time systems with persistent inputs and delays

C Briat, M Khammash - Automatica, 2016 - Elsevier
While the design of optimal peak-to-peak controllers/observers for linear systems is known
to be a difficult problem, this problem becomes interestingly much easier in the context of …

-Gain Analysis for Positive Linear Systems With Unbounded Time-Varying Delays

J Shen, J Lam - IEEE Transactions on Automatic Control, 2014 - ieeexplore.ieee.org
This technical note addresses the ℓ∞-gain (respectively, L∞-gain) analysis problem for
discrete-time (respectively, continuous-time) positive linear systems with unbounded time …

On finite-time stability and stabilization of positive systems with impulses

MJ Hu, YW Wang, JW Xiao - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
This study investigates finite-time stability and stabilization problems for positive systems
with impulses. By constructing a time-varying copositive Lyapunov function and utilizing the …

Stability analysis for positive singular systems with distributed delays

Y Cui, J Shen, Y Chen - Automatica, 2018 - Elsevier
This paper is concerned with the stability analysis for continuous-time positive singular
systems with distributed delays. By introducing an auxiliary system, a necessary and …

Design of reduced-order positive linear functional observers for positive time-delay systems

H Trinh, DC Huong, LV Hien… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This brief considers a new problem of designing reduced-order positive linear functional
observers for positive time-delay systems. The order of the designed functional observers is …

Robust stabilization of discrete-time positive switched systems with uncertainties and average dwell time switching

J Zhang, Z Han, H Wu, J Huang - Circuits, Systems, and Signal Processing, 2014 - Springer
This paper studies robust problems of a class of discrete-time positive switched systems with
uncertainties. The uncertainties refer to interval and polytopic uncertainties. By means of the …