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6 Structural Properties of Discrete and Continuous Linear Time-Varying Systems: A Unified Approach
The aim of this chapter is the study of structural properties of linear systems. Systems with time-varying coefficients are considered, both in the... -
1 Nonlinear Adaptive Stabilization via System Immersion: Control Design and Applications
This chapter presents a review of a recently developed methodology for the (adaptive) stabilization of nonlinear systems via state and output... -
10 Discrete-time Systems: Static Output-feedback
In this chapter we bring the solution of the discrete-time counterpart of Chapter 5 where we solve both the H2 and the H∞ static output-feedback... -
11 Systems with State-multiplicative Noise: Applications
In order to demonstrate the application of the theory developed in Chapter 3, we consider the problem of altitude estimation with measurements from a... -
A Boundary-Layer Solution Verified by Buckling of a Rectangular Plate
The so called edge-zone or boundary-layer solutions are widely used in large dediection problems of thin elastic plates [20,35,36] and shells... -
Inclined Girders with End Constraint Subjected to Normal Loads
A two-bar truss subjected to lateral normal distributed loads as shown in Fig. 9.1 represents a double leaf miter-type gate used in navigation locks... -
Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses
As a means of discussing the various masses, let us summarize the basic results that have been derived so far in our re-examination of the Lorentz... -
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... -
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... -
Feedback Networks
This paper presents a survey of some recent results which are primarily concerned with the action of relatively simple controllers working in complex... -
6 Dynamic Analysis
A general dynamical system subjected to an external force vector $\vec{f}(t)$... -
Optimal, Worst Case Filter Design via Convex Optimization
The problem of model based signal estimation is fundamental to control theory and signal processing, and several approaches have been developed in...