The energy problem is one of the most important and serious problems that humanity is
faced with it and this is while the fossil fuels are running out, so finding new sources of …

Extremum seeking (ES) is a powerful approach to the optimization and stabilization of
unknown dynamic systems and is an active field of research in control theory. This paper …

Traditional automated vehicle path-tracking algorithms require plant models to derive the
respective control laws. However, the accurate vehicle model is difficult to obtain due to the …

We present a Newton-based extremum seeking algorithm for the multivariable case. The
design extends the recent Newton-based extremum seeking algorithms for the scalar case …

We introduce a non-model based approach for locally stable convergence to Nash equilibria
in static, noncooperative games with N players. In classical game theory algorithms, each …

In this paper, we address the design and analysis of multi-variable extremum seeking for
static maps subject to arbitrarily long time delays. Both Gradient and Newton-based methods …

This paper presents a prescriptive framework for the design and analysis of a class of
deterministic extremum seeking controllers (ESCs) based on hybrid dynamic inclusions …

In this paper, we describe a broad class of control functions for extremum seeking problems.
We show that it unifies and generalizes existing extremum seeking strategies which are …

Originating in 1922, in its 95-year history, extremum seeking has served as a tool for model-
free real-time optimization of stable dynamic systems. We introduce a paradigm in which not …

In this article, we introduce first-order and zeroth-order Nash equilibrium seeking dynamics
with fixed-time and practical fixed-time convergence certificates for noncooperative games …