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- Lin Xiao, Stephen P. Boyd, Sanjay Lall
- IPSN 2005. Fourth International Symposium onâ€¦
- 2005

We consider a network of distributed sensors, where each sensor takes a linear measurement of some unknown parameters, corrupted by independent Gaussian noises. We propose a simple distributed iterative scheme, based on distributed average consensus in the network, to compute the maximum-likelihood estimate of the parameters. This scheme doesn't involveâ€¦ (More)

- Michael Rotkowitz, Sanjay Lall
- IEEE Transactions on Automatic Control
- 2005

We consider the problem of constructing optimal decentralized controllers. We formulate this problem as one of minimizing the closed-loop norm of a feedback system subject to constraints on the controller structure. We define the notion of quadratic invariance of a constraint set with respect to a system, and show that if the constraint set has thisâ€¦ (More)

- Ritesh Madan, Sanjay Lall
- IEEE Transactions on Wireless Communications
- 2004

A sensor network of nodes with wireless transceiver capabilities and limited energy is considered. We propose distributed algorithms to compute an optimal routing scheme that maximizes the time at which the first node in the network drains out of energy. The problem is formulated as a linear programming problem and subgradient algorithms are used to solveâ€¦ (More)

- Ritesh Madan, Shuguang Cui, Sanjay Lall, Andrea J. Goldsmith
- IEEE Transactions on Wireless Communications
- 2005

We consider the joint optimal design of the physical, medium access control (MAC), and routing layers to maximize the lifetime of energy-constrained wireless sensor networks. The problem of computing lifetime-optimal routing flow, link schedule, and link transmission powers for all active time slots is formulated as a non-linear optimization problem. Weâ€¦ (More)

- Sanjay Lall, Jerrold E. Marsdeny, Sonja Glava skiz
- 2000

In this paper, we introduce a newmethod of model reduction for nonlinear control systems. Our approach is to construct an approximately balanced realization. The method requires only standard matrix computations, and we show that when it is applied to linear systems it results in the usual balanced truncation. For nonlinear systems, the method makes use ofâ€¦ (More)

- Stephen Boyd, Arpita Ghosh, +4 authors Jun Sun
- 2006

We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constraints on the weights, such as nonnegativity, or a given total value. In many interesting cases this problem is convex, i.e., it involves minimizing a convexâ€¦ (More)

- Sanjay Lall, Jerrold E. Marsden, Sonja Glava
- 1999

In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems results in the usual balanced truncation. For nonlinear systems, the method makes used of the Karhunen-LoÃ¨ve decomposition of the state-space, and is an extensionâ€¦ (More)

- Geir E. Dullerud, Sanjay Lall
- IEEE Trans. Automat. Contr.
- 1999

In this paper new techniques are developed for the analysis of linear time-varying (LTV) systems. These lead to a formally simple treatment of robust control problems for LTV systems, allowing methods more usually restricted to timeinvariant systems to be employed in the time-varying case. As an illustration of this methodology, the so-called H1 synthesisâ€¦ (More)

- Lin Xiao, Stephen P. Boyd, Sanjay Lall
- 2006 5th International Conference on Informationâ€¦
- 2006

We consider a sensor network in which each sensor takes measurements, at various times, of some unknown parameters, corrupted by independent Gaussian noises. Each node can take a finite or infinite number of measurements, at arbitrary times (ie, asynchronously). We propose a space-time diffusion scheme, that relies only on peer-to-peer communication, andâ€¦ (More)

- Shuguang Cui, Ritesh Madan, Andrea J. Goldsmith, Sanjay Lall
- IEEE Transactions on Wireless Communications
- 2007

The general joint design of the physical, MAC, and routing layers to minimize network energy consumption is complex and hard to solve. Heuristics to compute approximate solutions and high-complexity algorithms to compute exact solutions have been previously proposed. In this paper, we focus on synchronous small-scale networks with interference-free linkâ€¦ (More)