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Out-of-Plane Vibrations of Plane Frames
The frame vibrations studied in Chaps. 3 to 5 are for in-plane vibrations. If a plane frame acted upon by a force or horizontal ground vibration in...
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Vibrations of Frames with Inclined Members
The model established for the vibration of the inclined bars in the last chapter now is applied to two- and three-bar frames with inclined members.
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Vibrations of X-Braced Multi-Story Frames
The study of vibrations for the x-braced portal frames in the last chapter is extended to high-rise x-braced multi-story frames in this chapter....
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Conical Shells of Linearly Varying Thickness Subjected to Normal Loads
The equilibrium equations for a surface element of a conical shell in the framework of generalized plane stress of linear theory of elasticity are...
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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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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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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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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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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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Vibrations of X-Braced Portal Frames
Because of devastation of structures due to earthquake and wind force, increasing attention has been paid to dynamic responses of braced structures...
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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...
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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...
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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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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 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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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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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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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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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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Two Methods for Analysis of Continuum Mechanics of Elastic Structures
There are two basic methods to analyze the continuum elastic structural mechanics: One is by applying Newton’s law of motion to a free body element...