Stabilization of switched continuous-time systems with all modes unstable via dwell time switching

W Xiang, J Xiao - Automatica, 2014 - Elsevier
Stabilization of switched systems composed fully of unstable subsystems is one of the most
challenging problems in the field of switched systems. In this brief paper, a sufficient …

Stability of discrete-time switching systems with constrained switching sequences

M Philippe, R Essick, GE Dullerud, RM Jungers - Automatica, 2016 - Elsevier
We introduce a novel framework for the stability analysis of discrete-time linear switching
systems with switching sequences constrained by an automaton. The key element of the …

Necessary and sufficient condition for stability of switched uncertain linear systems under dwell-time constraint

W Xiang - IEEE Transactions on Automatic Control, 2016 - ieeexplore.ieee.org
In this technical note, a necessary and sufficient stability criterion for switched linear systems
under dwell-time constraint is proposed by employing a class of time-scheduled …

On the stabilizability of discrete-time switched linear systems: Novel conditions and comparisons

M Fiacchini, A Girard, M Jungers - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper we deal with the stabilizability property for discrete-time switched linear
systems. A recent necessary and sufficient characterization of stabilizability, based on set …

Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: A set-theory approach

M Fiacchini, M Jungers - Automatica, 2014 - Elsevier
In this paper, the stabilizability of discrete-time linear switched systems is considered.
Several sufficient conditions for stabilizability are proposed in the literature, but no …

Mode-identifying time estimation and switching-delay tolerant control for switched systems: An elementary time unit approach

L Zhang, W Xiang - Automatica, 2016 - Elsevier
In this paper, an elementary time unit (ETU) method is proposed to study the problem of
estimating the admissible delay in the identification of the active mode in the analysis and …

A Gel'fand-type spectral radius formula and stability of linear constrained switching systems

X Dai - Linear Algebra and its Applications, 2012 - Elsevier
Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which
states that the joint spectral radius is equal to the generalized spectral radius for a matrix …

Stabilization and control Lyapunov functions for language constrained discrete-time switched linear systems

M Fiacchini, M Jungers, A Girard - Automatica, 2018 - Elsevier
In this paper, the stabilizability of discrete-time switched linear systems subject to constraints
on the switching law is considered. The admissible switching sequences are given by the …

Stability analysis of switched linear systems defined by regular languages

Y Wang, N Roohi, GE Dullerud… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this work, we study the stability of an autonomous discrete-time linear switched system
whose switching sequences are generated by a Muller automaton. This system arises in …

Stability of discrete-time switched linear systems with ω-regular switching sequences

G Aazan, A Girard, P Mason, L Greco - Proceedings of the 25th ACM …, 2022 - dl.acm.org
In this paper, we develop tools to analyze stability properties of discrete-time switched linear
systems driven by switching signals belonging to a given ω-regular language. More …