Real world systems of interest often feature interactions between discrete and continuous dynamics. Various hybrid system formalisms have been used to model analyze this combination dynamics, ranging from mathematical descriptions, e.g., using impulsive differential equations switching, automata-theoretic language-based approaches. This paper bridges two such by showing how various classes swit...

In this paper, the structural controllability of switched linear systems is investigated. In particular, switched linear systems with independent subsystem models are studied. The structural controllability is a generalization of the traditional controllability concept for dynamical systems, and purely based on the graphic topologies among state and input vertices. First, two kinds of graphic r...

Circuit-switched communication networks have been analyzed extensively in the stationary case, i.e. where the arrival and/or service rates are time-independent. In this paper, we study a circuit-switched network where the external arrival rates to the network are time-dependent functions. The circuit-switched network is modelled as a nonstationary queueing network with population constraints, w...

This paper generalizes the Lasalle-Yoshizawa Theorem to switched nonsmooth systems. It is established that Filippov (Krasovskii) regularization of a switched system is contained within the convex hull of the Filippov (Krasovskii) regularizations of the subsystems. A common candidate Lyapunov function that has a negative semidefinite derivative along the trajectories of the subsystems is shown t...

The paper presents realization theory of discrete-time linear switched systems (abbreviated by DTLSSs). We present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched state-space realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we pr...