By Alessandro Astolfi, Lorenzo Marconi
This booklet 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 task has spanned over 35 years. all through his occupation, Prof. Isidori has constructed ground-breaking effects, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his commitment to give an explanation for problematic concerns and di?cult suggestions in an easy and rigorous means and to encourage younger researchers has been instrumental to the highbrow development of the nonlinear keep an eye on group all over the world. the amount collects 27 contributions written via a complete of fifty two researchers. The critical writer of every contribution has been chosen one of the - searchers who've labored with Prof. Isidori, have in?uenced his learn job, 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 matters, complicated functions, rising regulate instructions and instructional works. the range of the parts lined, the variety of participants and their foreign status offer facts of the influence of Prof. Isidori within the keep an eye on and platforms concept groups. The booklet has been divided into six elements: process research, Optimization tools, suggestions layout, legislation, Geometric tools and Asymptotic research, re?ecting very important keep an eye on components that have been strongly in- enced and, every so often, pioneered via Prof. Isidori.
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Extra resources for Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori
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. CDC94, 13:1270–1275, 1994. 21. Y. D. Sontag. Orders of input/output diﬀerential equations and state space dimensions. SIAM J. Contr. Optimization, 33(4):1102–1126, 1995. System Interconnection Jan C. Willems Katholieke Universiteit Leuven, B-3001 Leuven, Belgium Summary. Viewing a system as an architecture of subsystems is of central importance, both in modeling and in design.
Nonlinear Control Sytems. Springer Verlag, New York, 2nd edition, 1989. 2. J. Munkres. Elementary Diﬀerential Topology. Princeton University Press, 1966. Uniformly Universal Inputs Eduardo D. Sontag1 and Yuan Wang2 1 2 Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA Dedicated to Alberto Isidori on his 65th birthday Summary. A result is presented showing the existence of inputs universal for observability, uniformly with respect to the class of all continuous-time analytic systems.
The notion of a dynamical system that took shape in the ﬁeld of systems and control throughout the 20-th century is input/output based. This statement ignores the notion of a dynamical system as a ‘ﬂow’, as used in mathematics, since we consider this setting totally inadequate as a general vantage point for modeling. The statement also ignore developments in computer science, were very subtle types of interactions have been put forward. C. Willems Fig. 1. Input/output system The central idea in input/output thinking is that the environment acts on a system by imposing inputs, and that the system reacts by imposing outputs on its environment (see Figure 1).
Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori by Alessandro Astolfi, Lorenzo Marconi