In this note, we address the reachability of switched linear systems with switching/input constraints. We prove that, under a mild assumption of the feasible switching signals, the reachability set is the reachable subspace of the unconstrained switched system. We also investigate the local reachability for switched systems with input constraints and present a complete criterion for a general c...

This paper focuses on the problem of switched static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching laws. The considered class of systems is characterized by a particular structure of system matrices. Our principle idea is addressed in the derivation of new sufficient linear matrix inequalities conditions for the synthesis of a switched control...

This paper considers the stability analysis and the stabilization problem for a class of discrete-time switched Systems. A sufficient condition based on the average dwell time that guarantees the exponential stability of switched linear systems is given. First, the iterative learning control (ILC) is presented to build a formulation ensuring the exponential stability of the given system. The re...

The linear switched system is a kind of hybrid system that simultaneously possesses characteristics of both continuous event systems and discrete event systems. In this paper the issue of fault detection of switched systems is investigated using unknown input observers (UIO) and an average dwell time approach. The key parameter of UIOs is designed by solving linear matrix inequalities, which di...

The problem of state nullification of switched systems is studied. Specifically, we study the possibility to steer the state of a single-input singleoutput linear switched system to the origin in finite time by output feedback with finite memory. We show that if the system is in a controller canonical form, a causal state nullifying controller exists. We also show that, generically, only acausa...

Consideration of the effects of the mounting structure stiffness on electrohydraulic servomechanisms actuating primary flight controls yields a switched control system of seven nonlinear differential equations. The stabilizing control synthesis has to cope with the critical case of a zero eigenvalue of the Jacobian matrices calculated in equilibria. By local coordinates transformations, the swi...

Several recent results in machine learning have established formal connections between autoencoders—artificial neural network models that attempt to reproduce their inputs—and other coding models like sparse coding and K-means. This paper explores in depth an autoencoder model that is constructed using rectified linear activations on its hidden units. Our analysis builds on recent results to fu...

Keywords: Positive systems Switched systems Exponential stability L 1-gain performance Controller design Time-varying delays Average dwell time a b s t r a c t This paper investigates the problems of stability and L 1-gain controller design for positive switched systems with mixed time-varying delays. The mixed time-varying delays are presented in the forms of discrete delay and distributed del...

The problems of robust stability analysis and synthesis for a class of uncertain switched timedelay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities LMIs conditions are investigated to make such systems a uniform quadratic stability with an L2-gain smaller than a given const...