9 citations · 23 across the 9 of their papers we have counts for
10 papers · 1 filter
Towards a Control interpretation of Quantum Advantage
Dario Pighin
We develop a control-theoretic framework for understanding Quantum Advantage (QA), providing a systematic route to characterize when and how QA can arise. The bilinear controlled S…
Turnpike in Lipschitz-nonlinear optimal control
Carlos Esteve-Yagüe, Borjan Geshkovski, Dario Pighin +1
We present a new proof of the turnpike property for nonlinear optimal control problems, when the running target is a steady control-state pair of the underlying system. Our strateg…
Large-time asymptotics in deep learning
Carlos Esteve, Borjan Geshkovski, Dario Pighin +1
We consider the neural ODE perspective of supervised learning and study the impact of the final time (which may indicate the depth of a corresponding ResNet) in training. For t…
The turnpike with lack of observability
Dario Pighin, Noboru Sakamoto
We obtain turnpike results for optimal control problems with lack of stabilizability in the state equation and/or detectability in the state term in the cost functional. We show ho…
The turnpike property in semilinear control
Dario Pighin
An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results a…
Nonuniqueness of minimizers for semilinear optimal control problems
Dario Pighin
A counterexample to uniqueness of global minimizers of semilinear optimal control problems is given. The lack of uniqueness occurs for a special choice of the state-target in the c…
Rotor imbalance suppression by optimal control
Matteo Gnuffi, Dario Pighin, Noboru Sakamoto
An imbalanced rotor is considered. A system of moving balancing masses is given. We determine the optimal movement of the balancing masses to minimize the imbalance on the rotor. T…
The turnpike property in nonlinear optimal control -- A geometric approach
Noboru Sakamoto, Enrique Zuazua
This paper presents, using dynamical system theory, a framework for investigating the turnpike property in nonlinear optimal control. First, it is shown that a turnpike-like proper…
Controllability under positivity constraints of multi-d wave equations
Dario Pighin, Enrique Zuazua
We consider both the internal and boundary controllability problems for wave equations under non-negativity constraints on the controls. First, we prove the steady state controllab…
Controllability under positivity constraints of semilinear heat equations
Dario Pighin, Enrique Zuazua
In many practical applications of control theory some constraints on the state and/or on the control need to be imposed. In this paper, we prove controllability results for semilin…