By Alessandro Astolfi, Lorenzo Marconi
This e-book is a tribute to Prof. Alberto Isidori at the party of his sixty fifth birthday. Prof. Isidori’s proli?c, pioneering and high-impact examine job 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 provide an explanation for tricky matters and di?cult strategies in an easy and rigorous approach and to inspire younger researchers has been instrumental to the highbrow progress of the nonlinear keep watch over group around the globe. the amount collects 27 contributions written by way of a complete of fifty two researchers. The imperative 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 subject matters, together with th- retical concerns, complex functions, rising regulate instructions and instructional works. the range of the components lined, the variety of members and their overseas status offer facts of the influence of Prof. Isidori within the regulate and platforms conception groups. The booklet has been divided into six components: procedure research, Optimization equipment, suggestions layout, law, Geometric tools and Asymptotic research, re?ecting very important regulate parts which were strongly in- enced and, in certain cases, pioneered by way of Prof. Isidori.
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Extra resources for Analysis and design of nonlinear control systems : in honor of Alberto Isidori
The type of terminal implies a universum of terminal variables. These variables are physical quantities that characterize the possible ’signal states’ on the terminal, it speciﬁes System Interconnection 31 Table 1. Examples of terminals Type of terminal electrical 1-D mechanical 2-D mechanical thermal ﬂuidic input output etc. Variables Universum (voltage, current) R×R (force, position) R×R (position, attitude, force, torque) R2 × [0, 2π) × R2 × R (temperature, heat-ﬂow) R+ × R (pressure, mass-ﬂow) R×R u R (y) R etc.
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. 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.
C. Willems. Paradigms and puzzles in the theory of dynamical systems. IEEE Trans. on Automat. , 36:259–294, 1991. 5. C. Willems. Modeling open and interconnected systems. IEEECSM, 2007. To appear. Reduced Order Modeling of Nonlinear Control Systems Arthur J. Krener1,2 1 2 Department of Mathematics, University of California, Davis, CA 95616-8633, USA Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943-5216, USA This paper is dedicated to my good friend and esteemed colleague Alberto Isidori on the occasion of his 65th birthday.
Analysis and design of nonlinear control systems : in honor of Alberto Isidori by Alessandro Astolfi, Lorenzo Marconi