The Kalman conjecture is known to be true for third-order continuous-time systems. We
show that it is false in general for second-order discrete-time systems by construction of …

In this paper, we analyze the stability of feedback interconnections of a linear time-invariant
system with a neural network nonlinearity in discrete time. Our analysis is based on …

In this article, we develop and analyze convex searches for Zames-Falb multipliers. We
present two different approaches: infinite impulse response (IIR) and finite impulse response …

The problem of absolute stability of a discrete time feedback interconnection is revisited. For
the case of a slope-restricted nonlinearity in feedback with a linear time invariant system it is …

Many conditions have been found for the absolute stability of discrete-time Lur'e systems in
the literature. It is advantageous to find convex searches via LMIs where possible. In this …

The convergence property of discrete-time nonlinear systems is studied in this article. The
main result provides a Lyapunov-like characterization of the convergence property based on …

This paper proposes a less conservative stability criterion for discrete-time Lur'e systems
with sector and slope restrictions by constructing a novel Lyapunov functional. Compared …

This article exploits positive systems theory in the search for Zames–Falb multipliers for the
analysis of discrete‐time Lurie systems, where the nonlinearity is assumed to be slope …

This paper introduces an improved stability criterion for discrete-time Lur'e systems with
sector-and slope-restrictions. For the stability criterion, a Lur'e Lyapunov functional …

This article addresses the problem of static output‐feedback control design for uncertain
discrete‐time Lur'e systems with sector and slope bounded nonlinearities. By manipulating …