While state estimation techniques are routinely applied to systems represented by ordinary
differential equation (ODE) models, it remains a challenging task to design an observer for a …

In this article, the problem of codesign for nonlinear control systems with unmatched
uncertainties and adjustable parameters is investigated. The main purpose is to solve the …

As a first approach to the study of systems coupling finite and infinite dimensional natures,
this article addresses the stability of a system of ordinary differential equations coupled with …

This paper deals with the stability analysis of the reaction–diffusion equation interconnected
with a finite-dimensional system. In this situation, stability is no longer straightforward to …

This work presents a convex-optimization-based framework for analysis and control of
nonlinear partial differential equations. A measure-valued approach uses a particular weak …

In this paper, we provide a general strategy based on Lyapunov functionals to analyze
global asymptotic stability of linear infinite-dimensional systems subject to nonlinear …

We present a new Partial Integral Equation (PIE) representation of Partial Differential
Equations (PDEs) in which it is possible to use convex optimization to perform stability …

The control Lyapunov function (CLF) approach to nonlinear control design is well
established. Moreover, when the plant is control affine and polynomial, sum-of-squares …

In this paper, we consider input-output properties of linear systems consisting of PDEs on a
finite domain coupled with ODEs through the boundary conditions of the PDE. This work …

We propose a new framework to evaluate input–output amplification properties of nonlinear
models of wall-bounded shear flows, subject to both square integrable and persistent …