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math.OC2026
Exponential stability of abstract boundary-coupled positive systems
Yassine El Gantouh, Mahyar Mahinzaeim
In this paper, we study the well-posedness and exponential stability of a class of abstract boundary-coupled positive systems. Within a general semigroup framework, we establish we…
math.OC2026
A Spectral-based ISS small-gain theorem for boundary control systems with infinite couplings
Yassine El Gantouh, Jun Zheng, Guchuan Zhu +1
We study the input-to-state stability (ISS) of boundary control systems allowing for infinitely many boundary couplings. Using semigroup perturbation theory and the theory of posit…
math.OC2026
Well-posedness of boundary control systems and application to ISS for coupled heat equations with boundary disturbances and delays
Yassine El Gantouh, Jun Zheng, Guchuan Zhu
This paper studies the existence of solutions and, in particular, the well-posedness of a class of boundary control systems. Our main result provides explicit and verifiable condit…