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...

The observability of deterministic, discrete-time, switched, linear systems is considered. Depending on whether or not the modes are observed, and on whether the continuous state or the mode sequence is to be recovered, several observability concepts are defined, characterized through linear algebraic tests, and their decidability assessed.

The stability and stabilization of linear continuous time singular Markov switched systems with time delay are investigated. Based on the linear matrix inequality method (LMIs), the robust stability of uncertain linear stochastic delay system is guaranteed irrespective of the value of the time delay. Then the proposed theory can be extended to discuss the robust stabilization of uncertain stoch...

A very low voltage 9th order linear phase baseband switched capacitor (SC) filter has been designed to be used as part of a cellular GSM (Global System Mobile) receiver. A Gaussian-to-6dB filter of the order of seven is chosen and a second order function is added to reduce the group delay variations around. The filter uses a fully differential topology to increase the dynamic range and reduce t...

We present an approach for the stability-preserving model order reduction of switched linear systems with individual subspaces for arbitrary switching signals. First the high-order subsystems of the switched system are reduced by any reduction method and stabilized if necessary. Then the reduced subsystems are made contractive by solving low-dimensional Lyapunov equations. During time simulatio...

This thesis deals with the stability analysis of switched linear systems. Such systems are characterised by a mixture of continuous dynamics and logic-based switching between discrete modes. This system class appears in a large variety of control systems and has a wide field of applications in the modern industrial society. While the application of switched control systems can be very beneficia...

An aperiodic sampled-data min-jumping rule is proposed for linear impulsive systems, a class of systems encompassing switched and sampled-data systems as particular cases. Several sufficient co-design conditions characterizing the stabilization of a given linear impulsive system subject to the considered min-jumping rule and a sampled-data state-feedback controller are formulated in terms of di...

The `2-induced norm evaluation problem in finitehorizon for switched linear systems is considered in this paper. The contribution of the work is two-fold. First, two complete solutions are provided for the finite-horizon problem. The first solution is obtained based on a time-varying system approach, while the second one tries to characterize the worst-case switching law for the general case, w...

This paper addresses model reduction and extends balanced truncation to the class of switched affine systems with endogenous switching. The switched affine system is rewritten as a switched linear one with state resets that account for the affine terms. Balanced truncation can then be applied to each mode dynamics, independently. As a result, different reduced state vectors are associated with ...

In this paper the discretisation of switched and non-switched linear positive systems using Padé approximations is considered. Padé approximations to the matrix exponential are sometimes used by control engineers for discretising continuous time systems and for control system design. We observe that this method of approximation is not suited for the discretisation of positive dynamic systems, f...