KYP Lemma for Cone-preserving Systems and Its Applications to Controller Design

X Lu, Y Chen, B Zhu, J Shen, B Du… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This article presents a new version of the Kalman–Yakubovich–Popov lemma for linear
systems with their states constrained in proper cones. Based on this lemma, two important …

New Stability Criterion for Positive Impulsive Fuzzy Systems by Applying Polynomial Impulse-Time-Dependent Method

L Wang, B Zheng, X Xie, HK Lam - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
The problems of exponential stability and-gain for positive impulsive Takagi–Sugeno (T–S)
fuzzy systems are further studied in this article. Different from the Lyapunov function in the …

Finite time annular domain robust stability analysis and controller design for TS fuzzy interval positive systems

B Zhu, T Yang, Z Yan - IEEE Access, 2022 - ieeexplore.ieee.org
This paper is concerned with the finite time annular domain robust stability (FTADRS)
analysis and controller design for TS fuzzy positive systems with interval uncertainties. The …

Comparison-based method to stability of positive 2-D continuous-time Roesser systems with time-varying delays

TN Nguyen, PT Nam, H Trinh - Journal of the Franklin Institute, 2024 - Elsevier
The stability problem for a class of positive two-dimensional (2-D) continuous-time systems
in Roesser model with non-differentiable time-varying delays is investigated in this paper …

Finite-time annular domain stability and stabilisation of linear positive systems

Z Yan, T Yang, B Zhu, G Chang - International Journal of Control, 2024 - Taylor & Francis
This paper is concerned with the finite-time annular domain stability and stabilisation for the
positive systems. A new analysis method is proposed to obtain less conservative finite-time …

Finite-time contractive boundedness analysis and controller synthesis for interval positive linear systems under L1-gain performance

B Zhu, L Zhu, Z Yan, G Hu, P Ji - Journal of the Franklin Institute, 2023 - Elsevier
This paper investigates the finite-time contractive boundedness (FTCB) analysis and
controller synthesis problems for interval positive linear systems under L 1-gain …

Hybrid L1× l1-gain analysis of TS fuzzy positive impulsive systems

K Zhang, WH Chen, X Lu - Journal of the Franklin Institute, 2022 - Elsevier
The finite hybrid L 1× l 1-gain problem for TS fuzzy positive impulsive systems is proposed.
The problem is solved in the framework of discretized copositive Lyapunov functions. In …

Bumpless transfer control for switched impulsive positive systems with L1-gain performance

J Liu, Y Liu, C Li - ISA transactions, 2024 - Elsevier
This paper investigates the problem of bumpless transfer control for switched impulsive
positive systems with L 1-gain performance. For switched impulsive positive systems, the …

Stability and stabilisation for switched impulsive positive systems

S Du, J Dong, Y Wang - IET Control Theory & Applications, 2021 - Wiley Online Library
The current study is dedicated to addressing the stability and weighted L 1‐gain
performance analysis of switched impulsive positive systems (SIPSs). Firstly, by designing a …

Solvability of L1-induced Controller Synthesis for Positive Systems with Multiple Delays

MT Hong, L Van Hien - International Journal of Control, Automation and …, 2021 - Springer
In this paper, the problem of L 1-gain control is studied for a class of positive linear systems
with diverse state and output delays. A necessary and sufficient stability condition is first …