By Alessandro Astolfi, Lorenzo Marconi

This e-book is a tribute to Prof. Alberto Isidori at the get together of his sixty fifth birthday. Prof. Isidori’s proli?c, pioneering and high-impact examine job has spanned over 35 years. all through his profession, Prof. Isidori has built ground-breaking effects, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his commitment to provide an explanation for tricky matters and di?cult recommendations in an easy and rigorous manner and to encourage younger researchers has been instrumental to the highbrow progress of the nonlinear regulate group world wide. the quantity collects 27 contributions written through a complete of fifty two researchers. The crucial writer of every contribution has been chosen one of the - searchers who've labored with Prof. Isidori, have in?uenced his examine task, or have had the privilege and honour of being his PhD scholars. The contributions deal with a signi?cant variety of keep an eye on issues, together with th- retical concerns, complicated functions, rising regulate instructions and educational works. the variety of the components lined, the variety of individuals and their overseas status offer facts of the impression of Prof. Isidori within the keep an eye on and structures thought groups. The publication has been divided into six elements: procedure research, Optimization equipment, suggestions layout, legislation, Geometric tools and Asymptotic research, re?ecting vital keep an eye on parts which were strongly in- enced and, in certain cases, pioneered via Prof. Isidori.

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**Extra resources for Analysis and design of nonlinear control systems : in honor of Alberto Isidori**

**Example text**

A. Isidori. Nonlinear Control Sytems. Springer Verlag, New York, 3rd edition, 1995. 7. A. Muchnik. General linear automata. In I. Cox and G. A. Lyapunov, volume 23, pages 179–218. Consultants Bureau, 1973. 8. D. Sontag. On the observability of polynomial systems. I. Finite-time problems. SIAM J. Contr. Optimization, 17(1):139–151, 1979. 9. D. Sontag. A concept of local observability. Systems & Control Letters, 5(1):41–47, 1984. D. Sontag and Y. Wang 10. D. Sontag. Universal nonsingular controls.

These equations completely specify the behavior of the terminal variables of a 3 ohm resistor. Our second example of a module is a transfer function. The module type is multivariable proper transfer function. Its parameters are (m, p, G), with m, p ∈ N and G a p × m matrix of proper real rational functions. This means that we have a system with m + p terminals, the ﬁrst m of ‘input’ type, the last p of ‘output’ type, and behavior described by the controllable input/state/output system d dt x = Ax + Bu, y = Cx + Du, with A, B, C, D such that G(ξ) = D + C(Iξ − A)−1 B.

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. Since this also ﬁts the classical picture of control as feedback so very well, it is this view that came to dominate the ﬁeld of systems and control.