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20072026
most citedJoint Spectral Radius and Path-Complete Graph Lyapunov Functions

120 citations · 194 across the 25 of their papers we have counts for

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8 papers · 1 filter

math.OC2016★ 2 cited

Dynamic Pricing in Smart Grids under Thresholding Policies: Algorithms and Heuristics

Zaid Almahmoud, Jacob Crandall, Khaled Elbassioni +2

Minimizing the peak power consumption and matching demand to supply, under fixed threshold polices, are two key requirements for the success of the future electricity market. In th…

math.OC2016★ 42 cited

A Characterization of Lyapunov Inequalities for Stability of Switched Systems

Raphael M. Jungers, Amirali Ahmadi, Pablo Parrilo +1

We study stability criteria for discrete-time switched systems and provide a meta-theorem that characterizes all Lyapunov theorems of a certain canonical type. For this purpose, we…

math.OC2012★ 9 cited

On the Economic Value and Price-Responsiveness of Ramp-Constrained Storage

Ali Faghih, Mardavij Roozbehani, Munther A. Dahleh

The primary concerns of this paper are twofold: to understand the economic value of storage in the presence of ramp constraints and exogenous electricity prices, and to understand…

math.OC2012

Lower Bounds on the Performance of Analog to Digital Converters

Mitra Osqui, Alexandre Megretski, Mardavij Roozbehani

This paper deals with the task of finding certified lower bounds for the performance of Analog to Digital Converters (ADCs). A general ADC is modeled as a causal, discrete-time dyn…

math.OC2012

When is a set of LMIs a sufficient condition for stability?

Amir Ali Ahmadi, Raphael M. Jungers, Pablo A. Parrilo +1

We study stability criteria for discrete time switching systems. We investigate the structure of sets of LMIs that are a sufficient condition for stability (i.e., such that any swi…

math.OC2011★ 120 cited

Joint Spectral Radius and Path-Complete Graph Lyapunov Functions

Amir Ali Ahmadi, Raphaël Jungers, Pablo A. Parrilo +1

We introduce the framework of path-complete graph Lyapunov functions for approximation of the joint spectral radius. The approach is based on the analysis of the underlying switche…