Download Analysis and design of nonlinear control systems : in honor by Alessandro Astolfi, Lorenzo Marconi PDF

By Alessandro Astolfi, Lorenzo Marconi

ISBN-10: 3540743588

ISBN-13: 9783540743583

This publication is a tribute to Prof. Alberto Isidori at the celebration of his sixty fifth birthday. Prof. Isidori’s proli?c, pioneering and high-impact study task 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 give an explanation for elaborate matters and di?cult ideas in an easy and rigorous approach and to inspire younger researchers has been instrumental to the highbrow development of the nonlinear keep watch over group around the globe. the quantity collects 27 contributions written by means of a complete of fifty two researchers. The central 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 watch over subject matters, together with th- retical concerns, complicated purposes, rising regulate instructions and educational works. the variety of the components lined, the variety of individuals and their foreign status offer facts of the influence of Prof. Isidori within the keep an eye on and structures concept groups. The e-book has been divided into six elements: process research, Optimization tools, suggestions layout, legislation, Geometric tools and Asymptotic research, re?ecting very important keep watch over parts which were strongly in- enced and, often times, pioneered by way of Prof. Isidori.

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

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Consider the set JΣ := {μ ∈ IRm,∞ : Ψμ (p) = Ψμ (q), ∀p ∼ q}, and the set JΣ , J := Σ where the intersection is taken over the collection of all analytic systems with m inputs as in (21). Clearly, J ⊇ J , and hence, the following is an immediate consequence of Theorem 2. Corollary 1. The set J is a generic subset of IRm,∞ . Using Corollary 1, one recovers the existence of universal inputs for analytic systems previously established in [14], but in a stronger form, uniformly on all state space systems of all dimensions with input functions taking values in Rm .

System Interconnection 33 Table 2. Examples of modules Type of module Terminals Type of terminals resistor (terminal1, terminal2) (electrical, electrical) transistor (collector, emitter, base) (electrical, idem,idem) mass, 2 applicators (appl1, appl2) (3-D mechanical, idem) 2-inlet vessel (inlet1, inlet2) (fluidic, fluidic) heat exchanger (inlet, outlet) (fluidic-thermal, idem) signal processor (in, out) (input, output) etc. etc. etc. Table 3. Examples of module specifications Type of module Specification Parameter resistor default R in Ohms n-terminal circuit transfer impedance G ∈ Rn×n (ξ) n-port circuit i/s/o admittance (A, B, C, D) bar, 2 applicators Lagrangian equations mass and length 2-inlet vessel default geometry signal processor kernel representation R ∈ IR[ξ]•×• signal processor latent variable (R, M ) etc.

There is a linear duality between R[[Θ]] and R[Θ] provided by: c, w d, w c, d = w∈Θ∗ for any c ∈ R[[Θ]] and d ∈ R[Θ]. , |w| = l if w = Xi1 Xi2 · · · Xil . Let Lm e,∞ denote the set of measurable, locally essentially bounded functions u : [0, ∞) → Rm . For each u ∈ Lm e,∞ and S0 ∈ R[[Θ]], consider the initial value problem m ˙ S(t) = X0 + Xi u i S(t), S(0) = S0 (3) i=1 seen as a differential equation over R[[Θ]]. A solution is an absolutely continuous curve, where derivative is understood coefficient-wise.

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