In this paper we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. An extension to L approximate observability of families of linear systems is derived, too. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state...

This paper presents an LMI based design method for static output feedback controllers with a guaranteed H2 performance. The method can be applied to a class of continuous-time linear systems with either rational or polynomial parameter dependence, provided that the parameters and their rate of variation are bounded by a given polytope. Stability as well as a H2 performance bound are guaranteed ...

This paper deals with the distributed consensus problem of high-order multi-agent systems with nonlinear dynamics subject to external disturbances. The network topology is assumed to be a fixed undirected graph. Some sufficient conditions are derived, under which the consensus can be achieved with a prescribed H norm bound. It is shown that the parameter matrix in the consensus algorithm can b...

Abstract: This paper presents a delay-dependent approach to robust filtering for linear parameter-varying (LPV) systems with discrete and distributed time-invariant delays in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. Some new parameter-dependent delay-dependent stability conditions are established in terms...

The state feedback H1 control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties is considered. Two methods for designing H1 controllers are given in terms of solutions to a set of linear matrix inequalities, where one of them is with the consideration of improving the upper bound of singular perturbation parameter e. Moreover, a method of evaluating th...

This paper describes a robust and non-fragile H∞ controller design method for descriptor systems with parameter uncertainties and time delay, as well as a static state feedback controller with multiplicative uncertainty. The controller existence condition, as well as its design method, and the measure of non-fragility in the controller are proposed using linear matrix inequality (LMI) technique...

In this paper we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state of an ensemble of linear systems uniformly to a prescribed family of terminal states. New ...

The quality of antimicrobial prescribing refers to the optimal way to use antibiotics in regard to their benefits, safety (e.g., resistance generation and toxicity) and cost. Evaluating the quality of antimicrobial prescribing in a way that focuses not only on reducing antimicrobial consumption but also on using them in a more optimal way allows us to understand patterns of use and to identify ...

Traditionally in UK medical schools, teaching of therapeutics and prescribing has been weak. Almost 40% UK medical schools do not teach therapeutics at all. Of the others, the majority do not teach therapeutics per se, but have a “vertical strand” running through the clinical course. The EQUIP survey carried out in 19 UK hospitals on behalf of the GMC (and which, inexplicably, remains unpublish...

Oxygen is a commonly used drug in the clinical setting and like other drugs its use must be considered carefully. This is particularly true for those patients who are at risk of type II respiratory failure in whom the risk of hypercapnia is well established. In recent times, several international bodies have advocated for the prescription of oxygen therapy in an attempt to reduce this risk in v...