This paper considers continuously differentiable functions of two vector variables that have
(possibly a continuum of) min-max saddle points. We study the asymptotic convergence …

Mass-action kinetics are used in chemistry and chemical engineering to describe the
dynamics of systems of chemical reactions, that is, reaction networks. These models are a …

This paper focuses on semistability and finite-time stability analysis and synthesis of systems
having a continuum of equilibria. Semistability is the property whereby the solutions of a …

In this paper, we develop a thermodynamic framework for addressing consensus problems
for nonlinear multiagent dynamical systems with fixed and switching topologies. Specifically …

This paper studies the projected saddle-point dynamics associated to a convex-concave
function, which we term saddle function. The dynamics consists of gradient descent of the …

This book places thermodynamics on a system-theoretic foundation so as to harmonize it
with classical mechanics. Using the highest standards of exposition and rigor, the authors …

This paper focuses on semistability and finite-time semistability for discontinuous dynamical
systems having a continuum of equilibria. Semistability is the property whereby the solutions …

This paper considers continuous-time coordination algorithms for networks of agents that
seek to collectively solve a general class of nonsmooth convex optimization problems with …

This article considers the problem of designing a continuous-time dynamical system that
solves a constrained nonlinear optimization problem and makes the feasible set forward …

This article focuses on semistability and finite-time semistability analysis and synthesis of
discrete-time dynamical systems having a continuum of equilibria. Semistability is the …