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Genetic Regulatory Networks and Co-Regulation of Genes: A Dynamic Model Based Approach
This paper describes a novel approach to obtain co-regulated genes and the underlying genetic regulatory network. Time evolution of gene expression... -
Ellipsoidal Techniques for Hybrid Dynamics: the Reachability Problem
This paper deals with the dynamics of hybrid systems under piecewise open-loop controls restricted by hard bounds. The system equations may be reset... -
Exploiting Algebraic Structure in Sum of Squares Programs
We present an overview of several different techniques available for exploiting structure in the formulation of semidefinite programs based on the... -
5 Algebraic Analysis of Control Systems Defined by Partial Differential Equations
The present chapter contains the material taught within the module P2 of FAP 2004. The purpose of this intensive course is first to provide an... -
A Appendix: Introduction to Stochastic Differential Equations
In this appendix we bring some basic results concerning stochastic differential equations of the Ito type which systems with state-multiplicative... -
7 Discrete-time Systems: Control and Luenberger-type Filtering
In this chapter we bring the discrete-time counterpart of Chapter 2 where we solve the state-feedback control and filtering problems with the aid of... -
3 Continuous-time Systems: General Filtering
In this chapter we bring the solution of the continuous-time stationary filtering using a general-type filter [45], [41]. Recently, the solution of... -
Structural Models
The goal of structural modelling is to define all signal paths in a system.1 So for every possible signal path, the structural model has to determine... -
Direct Reconfiguration Using a Static Block
This chapter employs a static reconfiguration block in order to solve the direct reconfiguration problem. It is shown that this approach gives... -
Running Example: the 2-Tank System
A simple system will be used as a running example throughout the manuscript. It serves to illustrate typical faults and the resulting reconfiguration... -
1 Introduction to Nonlinear Optimal Control
The maximum principle is presented in the weak and general forms. The standard proofs are detailed, and the connection with the shooting method for... -
3 Sampled-data Control of Nonlinear Systems
This chapter provides some of the main ideas resulting from recent developments in sampled-data control of nonlinear systems. We have tried to bring... -
4 Stability Analysis of Time-delay Systems: A Lyapunov Approach
This chapter is devoted to the stability problem of time-delay systems using time-domain approach. Some basic concepts of time-delay systems are... -
7 Structural Properties of Linear Systems – Part II: Structure at Infinit
This chapter is the sequel of [7]. Its topic is the structure at infinity of discrete and continuous linear time-varying systems in a unified... -
5 Controllability of Partial Differential Equations
In this section, we recall some basic elements of semigroup theory (see [25]). In particular, all the arguments of the results mentioned below can be... -
6 Stability, Told by Its Developers
Lyapunov stability theory is probably the most useful qualitative method to study the behaviour of dynamical systems; it benefits from at least 75... -
5 Grasp Synthesis from Example: Tuning the Example to a Task or Object
Many approaches to grasp synthesis do not scale well as the desired number of contacts is increased. In previous work [223], we have presented a... -
16 Design of 100G Capturing Robot
How much acceleration can a robot produce? Pursuing a robot with an extremely high response is a challenging matter. We have designed and developed... -
10 Tactile Flow and Haptic Discrimination of Softness
Haptic perception involves both cutaneous perception, through mechanoreceptors lying on the skin, and kinaesthetic perception mediated by the... -
14 Intrinsically Passive Control using Sampled Data System Passivity
In this chapter, which is a distilled version of [271], we present a novel way to approach the interconnection of a continuous and a discrete time...