7 papers
Single-Letterization of Rate-Cost Tradeoffs in Static Time-Invariant Control (STIC) Systems
Eray Unsal Atay, Venkat Chandrasekaran, Victoria Kostina
In settings such as online recommendation platforms, medical decision-making with interim summaries, and stochastic control with static plants, the underlying system is often stati…
Rate-cost Trade-offs in H-infinity Control with Initial State Uncertainty
Vikrant Malik, Victoria Kostina, Babak Hassibi
We consider the problem of H-infinity control in the presence of a digital communication channel between the observer and the controller and investigate the fundamental trade-off b…
Rate-Cost Tradeoffs in Nonlinear Control
Eray Unsal Atay, Venkat Chandrasekaran, Victoria Kostina
We study finite-horizon rate-cost tradeoffs for general stochastic control systems, including nonlinear systems. Under an average control cost constraint, we show that the minimum…
Quantized Online LQR
Barron Han, Victoria Kostina, Babak Hassibi
We study online linear-quadratic regulation (LQR) with unknown dynamics under communication rate constraints. Classical networked control quantizes the plant state at every time st…
Poset-Markov Channels: Capacity via Group Symmetry
Eray Unsal Atay, Eitan Levin, Venkat Chandrasekaran +1
Computing channel capacity is in general intractable because it is given by the limit of a sequence of optimization problems whose dimensionality grows to infinity. As a result, co…
Coded Kalman Filtering over MIMO Gaussian Channels with Feedback
Barron Han, Oron Sabag, Victoria Kostina +1
We consider the problem of remotely stabilizing a dynamical system. A sensor (encoder) co-located with the system communicates with a controller (decoder), whose goal is to stabili…
A Distributionally Robust Approach to Shannon Limits using the Wasserstein Distance
Vikrant Malik, Taylan Kargin, Victoria Kostina +1
We consider the rate-distortion function for lossy source compression, as well as the channel capacity for error correction, through the lens of distributional robustness. We assum…