From the 1 of 6 linked papers with an AI index.
6 papers
Inversion of the Multiplicative Matrix Compound Operator
Debojyoti Dey, Ron Ofir, Christian Grussler
The paper investigates how to recover a matrix whose k‑th multiplicative compound equals a given matrix M, showing infinitely many solutions when rank(M) ≤ 1 and a unique solution…
On Determining the Convergence Rate of an Infinite Product of Stochastic Matrices
Ron Ofir, A. Stephen Morse
By a convergent set is meant a set of stochastic matrices where every infinite product of matrices from every compact subset converges to a rank one matrix. Well-known examples inc…
Orthant-Monotonic Norms and Additive D-Stability
Ron Ofir, Michael Margaliot
Matrix measures induced by vector norms are widely used in contraction theory of nonlinear dynamical systems. A natural and important robustness question is whether negativity of a…
Consensus Seminorms and their Applications
Ron Ofir, Ji Liu, A. Stephen Morse +1
Consensus is a well-studied problem in distributed sensing, computation and control, yet deriving useful and easily computable bounds on the rate of convergence to consensus remain…
-Contraction in a Generalized Lurie System
Ron Ofir, Jean-Jacques Slotine, Michael Margaliot
We derive a sufficient condition for -contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinea…
A networked small-gain theorem based on discrete-time diagonal stability
Ron Ofir, Michael Margaliot
We present a new sufficient condition for finite-gain input-to-output stability of a networked system. The condition requires a matrix, that combines information on the …