By Alessandro Astolfi, Lorenzo Marconi
This ebook 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 profession, Prof. Isidori has built 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 recommendations in an easy and rigorous approach and to inspire younger researchers has been instrumental to the highbrow development of the nonlinear keep an eye on neighborhood around the globe. the amount collects 27 contributions written by means 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 learn task, 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 functions, rising keep an eye on instructions and instructional works. the range of the parts lined, the variety of participants and their overseas status offer facts of the effect of Prof. Isidori within the keep an eye on and structures conception groups. The booklet has been divided into six components: method research, Optimization tools, suggestions layout, legislation, Geometric equipment and Asymptotic research, re?ecting very important keep an eye on components that have been strongly in- enced and, often times, pioneered by means of Prof. Isidori.
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Extra info for Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori
CL such that S ⊆ i=1 Nci . Let U = i=1 Uci . Then U is a neighborhood of u, and for each v ∈ U , Fc [v] ∞ > δ/2 for all c ∈ S. It follows that U ⊆ ΩST . D. Sontag and Y. Wang where for each t, x(t) ∈ M, which is an analytic (second countable) manifold of dimension n, h : M −→ R is an analytic function, and g0 , g1 , . . , gm are analytic vector ﬁelds deﬁned on M. Inputs are measurable essentially bounded maps u : [0, T ] −→ Rm deﬁned on [0, T ] for suitable choices of T > 0. In general, ϕ(t, x, u) denotes the state trajectory of (21) corresponding to an input u and initial state x, deﬁned at least for small t.
D. Sontag. Parameter estimation in models combining signal transduction and metabolic pathways: The dependent input approach. IEE Proc. 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.
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. CDC94, 13:1270–1275, 1994. 21. Y. D. Sontag. Orders of input/output diﬀerential equations and state space dimensions.