activity
20202026
most citedGeometric analysis of differential-algebraic equations via linear control theory

14 citations · 27 across the 7 of their papers we have counts for

collaborators

7 papers

eess.SY2026

Structural Methods for handling mode changes in multimode DAE systems

Albert Benveniste, Benoit Caillaud, Yahao Chen +2

Hybrid systems are an important concept in Cyber-Physical Systems modeling, for which multiphysics modeling from first principles and the reuse of models from libraries are key. To…

eess.SY2022

Implicit function theorem for nonlinear time-delay systems with algebraic constraints

Yahao Chen, Malek Ghanes, Jean-Pierre Barbot

In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal cha…

math.OC2021★ 3 cited

Feedback linearization of nonlinear differential-algebraic control systems

Yahao Chen

In this paper, we study feedback linearization problems for nonlinear differential-algebraic control systems (DACSs). We consider two kinds of feedback equivalences, namely, the ex…

math.OC2021★ 6 cited

Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory

Yahao Chen, Witold Respondek

For nonlinear differential-algebraic equations (DAEs), we define two kinds of equivalences, namely, the external and internal equivalence. Roughly speaking, the word "external" mea…

math.OC2021★ 4 cited

From Morse Triangular Form of ODE Control Systems to Feedback Canonical Form of DAE Control Systems

Yahao Chen, Witold Respondek

In this paper, we relate the feedback canonical form \textbf{FNCF} of differential-algebraic control systems (DACSs) with the famous Morse canonical form \textbf{MCF} of ordinary d…

eess.SY2021

An approximation for nonlinear differential-algebraic equations via singular perturbation theory

Yahao Chen, Stephan Trenn

In this paper, we study jumps of nonlinear DAEs caused by inconsistent initial values. First, we propose a simple normal form called the index-1 nonlinear Weierstrass form (INWF) f…

eess.SY2020★ 14 cited

Geometric analysis of differential-algebraic equations via linear control theory

Yahao Chen, Witold Respondek

We consider linear differential-algebraic equations DAEs and the Kronecker canonical form KCF of the corresponding matrix pencils. We also consider linear control systems and their…