We study continuous-time switched linear systems with unobserved and exogenous mode
signals. We analyze the observability of the initial state and initial mode under arbitrary …

Hybrid systems, that is, heterogeneous systems that include discrete and continuous time
subsystems, have been used to model applications in automotive such as engine, brake …

We address the invertibility problem for switched systems, which is the problem of
recovering the switching signal and the input uniquely given an output and an initial state. In …

The reachability problem of switched linear singular systems is investigated in this note. By
using the geometric approach and the admissible control set introduced, a necessary …

The observer design problem for Switched Linear Systems (SLS) subject to an unknown
switching signal is addressed in this work. Based on known observability results for SLS, an …

When observabilities of hybrid systems such as piecewise-affine hybrid systems are
considered, the distinguishability of subsystems takes a very important role. However …

The notion of generic final-state asymptotically determinable hybrid system is introduced.
Then, sufficient conditions for a linear hybrid system to be generic final-state asymptotically …

In this paper, a general framework is proposed for the analysis and characterization of
observability and diagnosability of finite state systems. Observability corresponds to the …

We are not very pleased when we are forced to accept a mathematical truth by virtue of a
complicated chain of formal conclusions and computations, which we traverse blindly, link …

The paper presents realization theory of discrete-time linear switched systems. We present
necessary and sufficient conditions for an input–output map to admit a discrete-time linear …