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

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 study job has spanned over 35 years. all through his occupation, Prof. Isidori has built ground-breaking effects, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his commitment to provide an explanation for complicated 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 an eye on neighborhood all over the world. the amount collects 27 contributions written by way of a complete of fifty two researchers. The relevant 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 variety of the parts lined, the variety of participants and their overseas status offer proof of the effect of Prof. Isidori within the keep an eye on and structures idea groups. The booklet has been divided into six components: procedure research, Optimization tools, suggestions layout, law, Geometric tools and Asymptotic research, re?ecting vital keep an eye on components that have been strongly in- enced and, sometimes, pioneered by way of Prof. Isidori.

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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. Systems & Control Letters, 19(3):221–224, 1992. 11. D. Sontag. Spaces of observables in nonlinear control. Proceedings of the International Congress of Mathematicians, 1:1532–1545, 1994.

This shows the density property Hence, if ΩS of ΩST . To show the openness property of ΩST , let u ∈ ΩST . By definition, for any c ∈ S, there exists some tc ∈ [0, T0 ] such that Fc [u](tc ) = 0, so uT0 ∈ ΩST0 . By openness of ΩST0 , there is a neighborhood U of uT0 in C ∞ [0, T0 ] such that uT0 ∈ U ⊆ ΩST0 . Let ˜ = {v ∈ C ∞ [0, T ] : v ∈ U }. U T0 ˜ is a neighborhood of u in C ∞ [0, T ], and U ˜ ⊆ Ω T . This shows that Then U S T T every u in ΩS is an interior element of ΩS . Uniformly Universal Inputs 21 Proof of Lemma 6.

Sontag. Control of systems without drift via generic loops. IEEE Trans. on Automat. , 40(7):1210–1219, 1995. 13. D. Sontag. Mathematical Control Theory: Deterministic Finite Dimensional Systems. Springer-Verlag, New York, 2nd edition, 1998. 14. J. Sussmann. Single-input observability of continuous-time systems. Mathematical Systems Theory, 12:371–393, 1979. 15. J. Sussmann. Lie brackets and local controllability: A sufficient condition for scalar-input systems. SIAM J. Contr. Optimization, 21:686–713, 1983.

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