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Advances in Control, Communication Networks, and by Eyad H. Abed

By Eyad H. Abed

This unified quantity is a set of invited articles on themes awarded on the Symposium on platforms, keep an eye on, and Networks, held in Berkeley June 5–7, 2005, in honor of Pravin Varaiya on his 65th birthday. Varaiya is an eminent college member of the collage of California at Berkeley, well known for his seminal contributions in parts as assorted as stochastic platforms, nonlinear and hybrid platforms, allotted platforms, communique networks, transportation structures, energy networks, economics, optimization, and structures education.

The chapters contain fresh effects and surveys by way of top specialists on subject matters that mirror the various examine and educating pursuits of Varaiya, including:

* hybrid platforms and functions

* verbal exchange, instant, and sensor networks

* transportation platforms

* stochastic structures

* platforms schooling

Advances on top of things, conversation Networks, and Transportation Systems will function an outstanding source for working towards and learn engineers, utilized mathematicians, and graduate scholars operating in such components as communique networks, sensor networks, transportation platforms, keep an eye on idea, hybrid structures, and functions.

Contributors: J.S. Baras * V.S. Borkar * M.H.A. Davis * A.R. Deshpande * D. Garg * M. Gastpar * A.J. Goldsmith * R. Gupta * R. Horowitz * I. Hwang * T. Jiang * R. Johari * A. Kotsialos * A.B. Kurzhanski * E.A. Lee * X. Liu * H.S. Mahmassani * D. Manjunath * B. Mishra * L. Muñoz * M. Papageorgiou * C. Piazza * S.E. Shladover * D.M. Stipanovic * T.M. Stoenescu * X. solar * D. Teneketzis * C.J. Tomlin * J.N. Tsitsiklis * J. Walrand * X. Zhou

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Additional info for Advances in Control, Communication Networks, and Transportation Systems: In Honor of Pravin Varaiya

Sample text

In order to simplify the calculations we shall treat the given problem in another coordinate system. 1), ∂G(t, τ ) = A(t)G(t, τ ), G(τ, τ ) = I. B. 5). 12) where x∗ + w = x, z(t) = y(t) − H(t) t B(s)u∗ (s)ds. t0 ∗ With realization u = u (s), s ∈ [t0 , t) given, there will be a one-to-one mapping between realizations y ∗ (s) and z ∗ (s). 12), denoting it as W(t, zt (·)) = W(t, ·) = W[t]. Then we have X [t] = x∗ (t) + W[t]. 12), separating this solution from the problem of specifying the control itself.

Remark 4. Among the parametrizing functions ω(·) there may exist for each vector l such triplets ω 0 (τ ) = {L0 (·), πu0 (·), πz0 (·)}, which ensure the external ellipsoids to be tight, namely, ρ(l|W[τ ]) = ρ(l|E(w+ (τ ), W+ (τ )|ω 0 (τ ))). The description of such parametrizers and a recursive form of their calculation is given in [14]. Stage 2. Given set W, find set X ∗ [τ ] ∈ X [τ, W]. 23). The calculation of ellipsoidal bounds for such sets was given in [15], [24]. B. 35) and X˙− = γf (t)X− + γf−1 (t)C(t)Q(t)C (t) ∗ ∗ − (X− S1 (t)B(t)P 1/2 (t) + P 1/2 (t)B (t)S1 (t)X− ).

Kurzhanski University of California at Berkeley and Moscow State (Lomonosov) University Summary. This chapter deals with the problem of measurement feedback control under setmembership uncertainty for systems with original linear structure and hard bounds on the uncertain items. It indicates feedback control strategies which ensure guaranteed deviation from a given terminal set despite the uncertain disturbances and incomplete feedback. Routes for numerical treatment of the solutions are suggested on the basis of ellipsoidal techniques.

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