4 papers
Quasi-compactness and uniform stabilization on general Banach spaces under -subordinate perturbations of semigroup generators
Shri Lal Raghudev Ram Singh, Roberto Guglielmi
We prove that the quasi-compactness of an analytic semigroup is preserved under -subordinate perturbations of its generator on general Banach spaces, provided the perturbations…
Uniform stabilization for relatively bounded perturbations of generators of semigroup
Shri Lal Raghudev Ram Singh, Piermarco Cannarsa, Roberto Guglielmi
In this paper, we study the robustness of exponential stability for semigroups generated by linear operators under perturbations. Extending a classical result of Gibson's Stability…
Optimization-based One-side Boundary Control of LWR Traffic Models
Eryn Vaid, Maria Teresa Chiri, Roberto Guglielmi +1
In this paper, we study the feasibility of a class of optimization-based boundary control of one-dimensional macroscopic traffic flow models, where stability and invariance are ach…
Necessary conditions for turnpike property for generalized linear-quadratic problems
Roberto Guglielmi, Zhuqing Li
In this paper, we develop several necessary conditions of turnpike property for generalizaid linear-quadratic (LQ) optimal control problem in infinite dimensional setting. The term…