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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …