By Alessandro Astolfi, Lorenzo Marconi
This e-book is a tribute to Prof. Alberto Isidori at the social gathering of his sixty fifth birthday. Prof. Isidori’s proli?c, pioneering and high-impact study job has spanned over 35 years. all through his profession, Prof. Isidori has constructed ground-breaking effects, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his commitment to provide an explanation for complex matters and di?cult thoughts in an easy and rigorous approach and to encourage younger researchers has been instrumental to the highbrow development of the nonlinear keep watch over neighborhood all over the world. the quantity collects 27 contributions written via a complete of fifty two researchers. The valuable 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 handle a signi?cant variety of keep watch over subject matters, together with th- retical concerns, complex functions, rising keep watch over instructions and educational works. the variety of the parts lined, the variety of members and their foreign status supply proof of the impression of Prof. Isidori within the keep watch over and structures thought groups. The ebook has been divided into six elements: method research, Optimization tools, suggestions layout, rules, Geometric equipment and Asymptotic research, re?ecting vital regulate components that have been strongly in- enced and, now and again, pioneered by means of Prof. Isidori.
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Additional info for Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori
Systems Biology, 153:263–274, 2006. 17. Y. D. Sontag. On two deﬁnitions of observation spaces. Systems & Control Letters, 13:279–289, 1989. 18. Y. D. Sontag. Algebraic diﬀerential equations and rational control systems. SIAM J. Contr. Optimization, 30(6):1126–1149, 1992. 19. Y. D. Sontag. Generating series and nonlinear systems: Analytic aspects, local realizability and I/O representations. Forum Mathematicum, 4:299– 322, 1992. 20. Y. D. Sontag. Orders of I/O equations and uniformly universal inputs.
Or of opposite type (one input, one output) if the terminals are of logical type. In other words, if the edge e is adjacent to vertices v1 and v2 , then the module embedding makes v1 and v2 either of the same physical type, or of opposite logical type. In this way, each edge and leaf is labelled by a terminal type, and each vertex is labelled as a module. Consider again a few examples. The ﬁrst is the electrical circuit shown in Figure 7. The goal is to model the behavior of the voltage and current in the external port.
As the topic of my article, I chose an issue which is at the core of systems thinking, namely the formalization and the mathematization of system interconnection. This pertains to linear and nonlinear systems alike. In view of Alberto’s early interest in foundational aspects of system theory, especially in the context of linear systems, and his later concentration on control problems for nonlinear systems, it is my intention to make this article a ﬁtting tribute to his wide ranging scientiﬁc interests and to the inﬂuence that his work had in the ﬁeld of systems and control theory.