Paula Rocha

State space realization of 2-D finite-dimensional behaviours

This paper deals with the state space realization of autonomous autoregressive two-dimensional (2-D) systems in the context of the behavioural approach. An arbitrary autoregressive 2-D system

Trajectory Control and Interconnection of 1D and nD Systems

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Controllability of 2-D systems

In this paper we examine the relationship between control viewed as concatenation of trajectories and control viewed as interconnection of systems. We show that, for one-dimensional linear time-invariant systems, the ability to obtain a given subsystem by regular interconnection (a prerequisite for any feedback-type structure) is equivalent to the ability to drive any trajectory into that subsystem. However, in the case of multidimensional systems, the former is a stronger property than the latter. Trajectory controllability can, however, be expressed as a regular interconnection of behaviors in an extended variable space by introducing latent or auxiliary variables. This leads as a by-product to the notion of controlling a system by means of latent variables.

Drug Delivery for Neuromuscular Blockade With Supervised Multimodel Adaptive Control

The concept of controllability of 2-D systems is introduced in a behavioral framework. This property is defined as a systems concept and is characterized in terms of system representations. State-space realizations for controllable 2-D systems are presented. The structure of state-space systems is analyzed, and the notions of trimness, reachability, and observability are introduced and characterized. These realizations do not depend on any assumptions concerning causality. >

Behavioral Controllability of Delay-Differential Systems

A major issue in drug delivery systems is the high level of uncertainty due to inter- and intrapatient variations in the dynamics of drug absorption and metabolism. This paper proposes an approach to tackle this problem based on supervised multimodel adaptive control (SMMAC). Although the specific case of neuromuscular-blockade-level control of patients subject to general anesthesia is considered, the overall procedure can be applied to the control of other physiological variables. Design guidelines to implement SMMAC are presented, together with clinical cases of patients undergoing general anesthesia, where atracurium is used as the blocking agent. The important role played by the selection of the observer polynomial in the supervisor is demonstrated.

State for 2-D systems

In this paper we will prove that the system described by the delay-differential equation

Hopfield neural networks for on-line parameter estimation

R(d/dt,\Delta)w=0

On the stability of switched behavioral systems

(with

A hybrid method for parameter estimation and its application to biomedical systems

\Delta

Controlling the depth of anesthesia by a novel positive control strategy

the unit delay operator) is controllable if and only if the rank of