On stabilization of switched nonlinear systems with unstable modes

H Yang, V Cocquempot, B Jiang - Systems & Control Letters, 2009 - Elsevier
This paper addresses stabilization issue of switched nonlinear systems where some modes
are stable and others may be unstable. A new stabilizing switching law that determines the …

Invariance principles for nonlinear discrete-time switched systems and its application to output synchronization of dynamical networks

J Fu, C Li, Y Huang, Y Li, T Chai - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we develop two invariance principles for nonlinear discrete-time switched
systems based on multiple Lyapunov functions and multiple weak Lyapunov functions …

Sufficient conditions in terms of linear matrix inequalities for guaranteed ultimately boundedness of solutions of switched Takagi-Sugeno fuzzy systems using the S …

MC Valentino, FA Faria, VA Oliveira, LFC Alberto - Information Sciences, 2021 - Elsevier
In this paper, sufficient conditions to ensure the existence of a switching law that makes the
solutions of switched Takagi-Sugeno (TS) fuzzy systems ultimately bounded are developed …

Stabilization of hybrid systems under state constraints

C Wu, X Zhao, N Xu, X Han - Nonlinear Analysis: Hybrid Systems, 2021 - Elsevier
This paper investigates the stabilization problem for a class of hybrid systems under state
constraints. Emphasis is placed on the state constraints which are converted into the state …

An -PWM DC–DC Converter Modeling: Switched Systems Meets Fourier Series

RFQ Magossi, LJ Elias, FA Faria… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
In this article, we propose steady-state modeling of dc–dc converters driven by multiple
pulsewidth modulation (PWM) signals. The proposed dc–dc converter modeling uses a …

[HTML][HTML] A fuzzy Lyapunov function approach for stabilization and H∞ control of switched TS fuzzy systems

FA Faria, MC Valentino, VA Oliveira - Applied Mathematical Modelling, 2014 - Elsevier
In this work, sufficient conditions for the existence of switching laws for stabilizing switched
TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by …

On weak-invariance principles for nonlinear switched systems

B Zhang, Y Jia - IEEE Transactions on Automatic Control, 2013 - ieeexplore.ieee.org
In this technical note, we develop two weak-invariance principles for nonlinear switched
systems. We first present a union weak-invariance principle for switched systems which …

Robust stabilization of non-minimum phase switched nonlinear systems with uncertainty

J Khalil - Journal of Systems Science and Complexity, 2020 - Springer
This paper investigates the problem of robust stabilization of a class of switched nonlinear
system with uncertain dynamics where each subsystem represents a non-minimum phase …

Finite-time stability of a class of continuous-time non-homogeneous switched systems

R Kuiava, BK Matos, GR Razente - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
This paper is concerned with the finite-time stability problem of a class of linear continuous-
time non-homogeneous switched systems under a time-dependent switching signal …

Extensions of weak-invariance principle for nonlinear switched systems with time-invariant and time-varying subsystems

B Zhang, Y Jia - Systems & Control Letters, 2015 - Elsevier
This paper addresses the stability problem for nonlinear switched systems with both time-
invariant and time-varying subsystems. Given that Lyapunov-like functions are difficult to …