54 citations · 82 across the 11 of their papers we have counts for
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math.AP2018
ISS with Respect to Boundary and In-domain Disturbances for a Coupled Beam-String System
Jun Zheng, Hugo Lhachemi, Guchuan Zhu +1
This paper addresses the robust stability of a boundary controlled system coupling two partial differential equations (PDEs), namely beam and string equations, in the presence of b…
math.OC2018
ISS Property with Respect to Boundary Disturbances for a Class of Riesz-Spectral Boundary Control Systems
Hugo Lhachemi, Robert Shorten
This paper deals with the establishment of Input-to-State Stability (ISS) estimates for infinite dimensional systems with respect to both boundary and distributed disturbances. Fir…
math.OC2018
Input-to-State Stability of a Clamped-Free Damped String in the Presence of Distributed and Boundary Disturbances
Hugo Lhachemi, David Saussié, Guchuan Zhu +1
This note establishes the Exponential Input-to-State Stability (EISS) property for a clamped-free damped string with respect to distributed and boundary disturbances. While efficie…