By Hector J. Sussmann (auth.), Alessandro Astolfi, Lorenzo Marconi (eds.)

This e-book has been ready as a tribute to Prof. Alberto Isidori at the celebration of his sixty fifth birthday. The publication comprises 27 chapters written via a few researchers who've been concerned, in numerous methods, within the prolific and high-impact occupation of Prof. Isidori. The chapters hide an important variety of keep an eye on and structures concept issues and describe a mixture of new methodological effects, complicated functions, rising keep an eye on components and instructional works.

The total contributions were divided in six elements: "System Analysis", "Optimization Methods", "Feedback Design", "Regulation", "Geometric tools" and "Asymptotic Analysis".

All those fields mirror components during which Prof. Isidori, in the course of his medical job, has been actively concerned by way of offering key rules and pioneering contributions.

The e-book is anticipated to be of important curiosity to educational and business researchers focused on the realm of linear and nonlinear regulate structures and a key reference for destiny examine developments.

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The behavioral equations (the combination of the module equations and the interconnection equations), combined with the manifest variable assignment, define the full behavior of the system that is being modelled. It is the end result of the modeling process based on tearing (∼ = the interconnection architecture), zooming (∼ = obtaining the module equations and the manifest variable assignment), and linking (∼ = setting up the interconnection equations). This tearing-zooming-linking modeling methodology has many virtues: it is systematic and modular, it is adapted to computer assisted modeling (with module equations in parametric form stored in a database, and with the interconnection equations also stored in a database), it is hierarchical (once a model of a system has been obtained, it can be used as a subsystem-module on a higher level).

A associates with each edge e ∈ E an unordered pair A(e) = [v1 , v2 ] with v1 , v2 ∈ V, in which case e is said to be adjacent to v1 and v2 . A graph with leaves is a graph in which some of the ‘edges’ are adjacent to only one vertex. These special ‘edges’ are called ‘leaves’. Formally, a graph with leaves is defined as G = (V, E, L, A), with V the set of vertices, E the set of edges, L the set of leaves, and A the adjacency map. A associates with each edge e ∈ E an unordered pair A(e) = [v1 , v2 ] with v1 , v2 ∈ V, and with each leaf ∈ L an element A( ) = v ∈ V, in which case e is said to be adjacent to v1 and v2 , and to v.

Willems (w, ) ∈ Bfull }. A (dynamical) system with latent variables is defined completely analogously as Σfull = (T, W, L, Bfull ) with Bfull ⊆ (W × L)T . The notion of a system with latent variables is the natural end-point of a modeling process and hence a very natural starting point for the analysis and synthesis of systems. More details and examples of behavioral systems may be found in [3, 4]. The procedure of modeling by tearing, zooming, and linking is an excellent illustration of the appropriateness of the behavioral approach.

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