Alexandre Megretski

TL;DR: A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality.

TL;DR: In this paper, a number of widely used tools for stability analysis can be conveniently unified and generalized using integral quadratic constraints (IQCs), and an IQC based stability theorem is presented, which covers classical small gain conditions with anti-causal multipliers, but gains flexibility by avoiding extended spaces and truncated signals.

TL;DR: Conditions in the form of linear matrix inequalities (LMIs) are presented that guarantee global asymptotic stability of limit cycles induced by relays with hysteresis in feedback with linear time-invariant (LTI) stable systems, leading to belief that globally stable limit cycles of RFS frequently have quadratic surface Lyapunov functions.

TL;DR: This work considers the problem of designing an optimal quantum detector to minimize the probability of a detection error when distinguishing among a collection of quantum states, represented by a set of density operators, and shows that the design of the optimal detector can be formulated as a semidefinite programming problem.

TL;DR: An entirely new constructive global analysis methodology for a class of hybrid systems known as piecewise linear systems (PLS) is presented, finding that an impact map induced by an linear time-invariant flow between two switching surfaces can be represented as a linear transformation analytically parametrized by a scalar function of the state.