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

ISBN-10: 354074357X

ISBN-13: 9783540743576

ISBN-10: 3540743588

ISBN-13: 9783540743583

This booklet has been ready as a tribute to Prof. Alberto Isidori at the celebration of his sixty fifth birthday. The e-book includes 27 chapters written by means of a few researchers who've been concerned, in several methods, within the prolific and high-impact profession of Prof. Isidori. The chapters hide an important variety of regulate and platforms concept themes and describe a mixture of new methodological effects, complex functions, rising keep an eye on components and educational works.

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

All those fields mirror components within which Prof. Isidori, in the course of his medical job, has been actively concerned through offering key principles and pioneering contributions.

The publication is predicted to be of important curiosity to educational and commercial researchers excited about the world of linear and nonlinear keep watch over platforms and a key reference for destiny examine developments.

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**Extra resources for Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori**

**Example text**

This is one of the main motivations to introduce latent variables in our modeling language ab initio. It also underscores the importance of the elimination theorem [1, 2, 4]. The modeling procedure described above has some similarity with modeling using bondgraphs. However, there are important diﬀerences, especially that in our setting it is not required that the interconnection variables have any relation to the energy that is transmitted along the interconnection terminals. The comparison with bondgraphs is taken up in detail in [5].

2 of [19] shows that if (T, r) is admissible for c, then the map VT (r) → C[0, T ], u → Fc [u] is continuous using the L1 norm on VT (r) in the special case when r = 1. The same proof can be used to prove the following result for equi-convergent families. Uniformly Universal Inputs 15 Lemma 2. Assume that S is equi-convergent, and (T, r) is admissible for S. Then the map VT (r) → C[0, T ], u → Fc [u] is continuous with respect to the L1 norm on VT (r) and the C 0 norm on C[0, T ] uniformly for c ∈ S.

The in- System Interconnection 27 put/output point of view led to signal ﬂow graphs, and to system interconnection as output-to-input assignment (see Figure 2). In control and in signal processing (and, but to a lesser extent, in circuit theory), signal ﬂow diagrams combining series, parallel, and feedback connections are viewed as the standard way to deal with interconnections. Since an adder can be viewed as a input/output system, with two inputs and their sum as output, we end up with output-to-input assignment as the basic operation by which systems are interconnected.

### Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori by Hector J. Sussmann (auth.), Alessandro Astolfi, Lorenzo Marconi (eds.)

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