System Theory

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

By Alessandro Astolfi, Lorenzo Marconi

This booklet is a tribute to Prof. Alberto Isidori at the celebration 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 provide an explanation for problematic matters and di?cult ideas in an easy and rigorous approach and to encourage younger researchers has been instrumental to the highbrow development of the nonlinear regulate neighborhood world wide. the amount collects 27 contributions written by means of a complete of fifty two researchers. The important writer of every contribution has been chosen one of the - searchers who've labored with Prof. Isidori, have in?uenced his study job, or have had the privilege and honour of being his PhD scholars. The contributions handle a signi?cant variety of keep watch over themes, together with th- retical concerns, complicated functions, rising keep an eye on instructions and instructional works. the range of the components coated, the variety of individuals and their foreign status supply facts of the impression of Prof. Isidori within the keep watch over and platforms concept groups. The ebook has been divided into six elements: method research, Optimization tools, suggestions layout, legislation, Geometric equipment and Asymptotic research, re?ecting vital keep watch over components which were strongly in- enced and, now and again, pioneered by means of Prof. Isidori.

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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. Summary.

71:1423– 1427, 1977. 6. A. Isidori. Nonlinear Control Sytems. Springer Verlag, New York, 3rd edition, 1995. 7. A. Muchnik. General linear automata. In I. Cox and G. A. Lyapunov, volume 23, pages 179–218. Consultants Bureau, 1973. 8. D. Sontag. On the observability of polynomial systems. I. Finite-time problems. SIAM J. Contr. Optimization, 17(1):139–151, 1979. 9. D. Sontag. A concept of local observability. Systems & Control Letters, 5(1):41–47, 1984. D. Sontag and Y. Wang 10. D. Sontag. Universal nonsingular controls.

24) and let Fμ (x) be the space obtained by evaluating the elements of Fμ at x for each x ∈ M. For system (21), we consider the series cp , for each p ∈ M, defined by cp , Xi1 Xi2 · · · Xil = Lgil · · · Lgi2 Lgi1 h(p) . 2], this is always a convergent series. Note then that p ∼ q if and only if cp = cq (see [6, 17]). Also, for each i ≥ 0, it holds that ψi (p, μ) = cp , di (μ0 , . . , μi−1 ) , Uniformly Universal Inputs 23 where di is still the same as defined in (7). For each μ ∈ IRm,∞ , we denote Ψμ (p) = (ψ0 (p, μ), ψ1 (p, μ), ψ2 (p, μ), .

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