Download e-book for iPad: Analysis, Control and Optimization of Complex Dynamic by El-Kébir Boukas, Roland P. Malhamé

By El-Kébir Boukas, Roland P. Malhamé

ISBN-10: 0387254757

ISBN-13: 9780387254753

Research, regulate and Optimization of complicated Dynamic structures gathers in one quantity a spectrum of advanced dynamic platforms comparable papers written through specialists of their fields, and strongly consultant of present learn tendencies. advanced platforms current very important demanding situations, in nice half because of their sheer dimension which makes it tricky to know their dynamic habit, optimize their operations, or research their reliability. but, we are living in an international the place, because of expanding inter-dependencies and networking of structures, complexity has turn into the norm. With this in brain, the quantity includes components. the 1st half is devoted to a spectrum of complicated difficulties of selection and keep watch over encountered within the quarter of creation and stock platforms. the second one half is devoted to massive scale or multi-agent method difficulties happening in different components of engineering corresponding to telecommunication and electrical strength networks, in addition to extra normal context.

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Extra resources for Analysis, Control and Optimization of Complex Dynamic Systems (Gerad 25th Anniversary)

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24) u(t) = Kix(t) d. + The affine term d is included in the production rate (control signal) to compensate for the known constant demand rate d. 24) yields This is a piecewise-linear system. 1 will now be combined to prove stability of the closed-loop piecewise-linear system. 25). 17), using the Schur complement as before, the closed-loop dynamics will be stable with a guaranteed disturbance rejection of level 34 ANALYSIS, CONTROL, AND OPTIMIZATION y > 0 if there exists a symmetric and positive definite matrix P such that the following holds >0 Using the expression of AClz,we get for i = 1,2 This matrix inequality is nonlinear in the design parameters P and Ki.

A:) is a probability row vector. Partition Q as where ~ 1 1 ~ ( m - m * ) x ( m - m *~) , 1 E2 ~ ( m - m * ) x m *~ and Q22 E Rm* x m * . Let 2 E1 ~ m * x ( m - m * ) , Q* = ( v l ,. . a. 8) where ( A 1 ,. . ,A') denotes a block diagonal matrix having matrix entries A 1 , . . , A 1 , and --- ( m l ,' . ,ml ) E I W ( ~ - ~ * ) ~ ~ . > It is easy to check that Q , is a generator. Let a ( . )= { a ( t ) :t 0 ) be a continuous-time Markov chain generated by Q,. The state space of a ( . ) is M = { I , .

U') denote control for the limit problem.

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Analysis, Control and Optimization of Complex Dynamic Systems (Gerad 25th Anniversary) by El-Kébir Boukas, Roland P. Malhamé

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