Download Communication Networks: An Optimization, Control and by R. Srikant PDF

By R. Srikant

Offers a latest mathematical method of the layout of communique networks for graduate scholars, mixing keep watch over, optimization, and stochastic community theories. A large variety of functionality research instruments are mentioned, together with very important complicated themes which were made available to scholars for the 1st time. Taking a top-down method of community protocol layout, the authors start with the deterministic version and development to extra subtle versions. community algorithms and protocols are tied heavily to the speculation, illustrating the sensible engineering functions of every subject. The history in the back of the mathematical analyses is given earlier than the formal proofs and is supported through labored examples, allowing scholars to appreciate the large photograph ahead of going into the targeted concept. End-of-chapter difficulties hide a number problems, with advanced difficulties damaged into a number of elements, and tricks to many difficulties are supplied to lead scholars. complete suggestions can be found on-line for teachers.

Show description

Read Online or Download Communication Networks: An Optimization, Control and Stochastic Networks Perspective PDF

Best signal processing books

Signal Processing for Digital Communications

Electronic sign processing is a primary point of communications engineering that each one practitioners have to comprehend. Engineers are searhing for information in method layout, simulation, research, and purposes to aid them take on their tasks with better pace and potency. Now, this severe wisdom are available during this unmarried, exhaustive source.

Nonlinear Digital Filters Analysis and Application

Аннотация. This e-book presents a simple to appreciate review of nonlinear habit in electronic filters, exhibiting the way it can be used or kept away from while working nonlinear electronic filters. It offers strategies for examining discrete-time platforms with discontinuous linearity, permitting the research of different nonlinear discrete-time platforms, corresponding to sigma delta modulators, electronic section lock loops and rapid coders.

Detection and Estimation for Communication and Radar Systems

Overlaying the basics of detection and estimation idea, this systematic consultant describes statistical instruments that may be used to research, layout, enforce and optimize real-world platforms. certain derivations of a few of the statistical tools are supplied, making sure a deeper knowing of the fundamentals.

Extra info for Communication Networks: An Optimization, Control and Stochastic Networks Perspective

Sample text

R=1 It is easy to verify that the maximum is ˜ r∗ . max w˜ r = w r So the VCG algorithm allocates the item to the bidder with the highest bid (xr∗∗ = 1 and xr∗ = 0 for r = r∗ ). The price user r has to pay is ⎛ ⎞ ⎝max w˜ r xr ⎠ − r=r∗ r=r∗ w ˜ r xr∗ = max∗ w˜ r , r=r the second highest bid. So Vickrey’s second price auction is a special case of the VCG algorithm. It is useful now to discuss the practicality of the VCG mechanism. While it is true that there is no incentive to lie under the VCG mechanism, it imposes an unreasonable computational burden on the network, since the network has to solve several optimization problems to compute the price for each user.

The proof of the theorem is omitted in this book. 32 by ˙ V(x) ≤ 0, ∀x, and suppose that the only trajectory x(t) that satisfies x˙ (t) = f (x(t)) and ˙ V(x(t)) = 0, ∀t, is x(t) = 0, ∀t. Then x = 0 is globally, asymptotically stable. 4 Distributed algorithms: primal solution .................................................................................................................................................. 2, we formulated the resource allocation problem as a convex optimization problem.

We first introduce the Lyapunov boundedness theorem. 1 (Lyapunov boundedness theorem) Let V : Rn → R be a differentiable function with the following property: V(x) → ∞ as x → ∞. , ˙ V(x) = ∇V(x)˙x = ∇V(x)f (x). ˙ If V(x) ≤ 0 for all x, there exists a constant B > 0 such that x(t) ≤ B for all t. Proof At any time T, we have T V(x(T)) = V(x(0)) + ˙ V(x(t)) dt ≤ V(x(0)). 19) implies that {x : V(x) ≤ c} is a bounded set for any c. Letting c = V(x(0)), the theorem follows. 2 (Lyapunov global asymptotic stability theorem) If, in addition to the conditions in the previous theorem, we assume that V(x) is continuously differentiable and also satisfies the following conditions: (1) V(x) ≥ 0 ∀x and V(x) = 0 if and only if x = 0, ˙ ˙ (2) V(x) < 0 for any x = 0 and V(0) = 0, the equilibrium point xe = 0 is globally, asymptotically stable.

Download PDF sample

Rated 4.02 of 5 – based on 31 votes