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4 Compositional Modelling of Distributed-Parameter Systems
The Hamiltonian formulation of distributed-parameter systems has been a challenging reserach area for quite some time. (A nice introduction,...
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A On the Literature’s Two Different Definitions of Uniform Global Asymptotic Stability for Nonlinear Systems
In this appendix we discuss two different deffnitions of uniform global asymptotic stability (UGAS), both used in the literature. In the first one,...
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2 Observer Design for Nonlinear Systems
In this chapter, an overview of main observability problems and possible observer designs for nonlinear systems is proposed. In particular the...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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3 Control of Mechanical Systems from Aerospace Engineering
The objective of this chapter is to describe geometric methods applied to aerospace systems: attitude control of a rigid spacecraft, orbital...
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2 Cascaded Nonlinear Time-Varying Systems: Analysis and Design
The general topic of study is Lyapunov stability of nonlinear time-varying cascaded systems. Roughly speaking these are systems in “open loop” as...
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Discretization of Structural Models
The previous Chapter develops a consistent set of theoretical concepts and expressions for the treatment of stability-affected structures, or—to be...
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The Role of Dam** in Complex Structural Dynamics: Data-Driven Approaches
The Dynamics Group at Hamburg University of Technology has been working on two consecutive research projects supervised by Prof. Norbert Hoffmann...
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Lightweight Structures with Adaptive Dynamic Behavior Through Evanescent Morphing
Compressible Constrained Layer Dam** (CCLD) is a novel semi-active dam** solution for vibration mitigation. The constrained dam** layer...
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A Systematic Approach to Smart Dam** of Mechanical Systems Based on Inductive Electro-Mechanical Coupling
Changing magnetic flux in conductive materials will induce electric currents: if the change of flux is – somehow – related to mechanical motions, the...
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Field-Responsive Fluid Based Multi-degree-of-Freedom Dampers for Independently Adjustable Dissipation
Dam** is a decisive factor that influences the dissipation of energy in vibrating systems. That is why it is important to have the right amount of...
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Simulation-Based Design of Hybrid Particle Dampers with Application to Flexible Multibody Systems
Particle dam** technology is a passive dam** technique used to reduce structural vibrations. Either containers attached to the vibrating...