4 papers
Control Problems and Invariant Subspaces for the Sabra Shell Model of Turbulence
Tania Biswas, Sheetal Dharmatti
Shell models of turbulence are representation of turbulence equations in Fourier domain. Various shell models and their existence theory along with numerical simulations have been…
Internal Stabilization of a Class of Parabolic Integro-Differential Equations: Application to Viscoelastic Fluids
Sheetal Dharmatti, Utpal Manna, Debopriya Mukherjee
In this paper, we prove the stabilizability of abstract Parabolic Integro-Differential Equations (PIDE) in a Hilbert space with decay rate for certain by means o…
Unbounded Viscosity Solutions of Hybrid Control Systems
Guy Barles, Sheetal Dharmatti, Mythily Ramaswamy
We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the sys…
Infinite dimensional differential games with hybrid controls
A J Shaiju, Sheetal Dharmatti
A two-person zero-sum infinite dimensional differential game of infinite duration with discounted payoff involving hybrid controls is studied. The minimizing player is allowed to t…