8 citations · 8 across the 4 of their papers we have counts for
5 papers · 1 filter
Hamilton-Jacobi-Bellman equation of nonlinear optimal control problems with fractional discount rate
Gou Nishida, Takamatsu Takahiro, Noboru Sakamoto
This paper derives the Hamilton-Jacobi-Bellman equation of nonlinear optimal control problems for cost functions with fractional discount rate from the Bellman's principle of optim…
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 the maximum hands-off control
Noboru Sakamoto, Masaaki Nagahara
This paper presents analyses for the maximum hands-off control using the geometric methods developed for the theory of turnpike in optimal control. First, a sufficient condition is…
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…