12 citations · 121 across the 57 of their papers we have counts for
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Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria
Igor G. Vladimirov, Matthew R. James, Ian R. Petersen
This paper is concerned with a risk-sensitive optimal control problem for a feedback connection of a quantum plant with a measurement-based classical controller. The plant is a mul…
Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash
Igor G. Vladimirov, Ian R. Petersen
This paper considers a class of nonlinear systems consisting of a linear part with an external input and a nonlinear feedback with a backlash. Assuming that the latter is specified…
Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with quadratic-exponential functionals (QEFs) as risk-sensitive performance criteria for linear quantum stochastic systems driven by multichannel bosonic fi…
A Girsanov type representation of quadratic-exponential cost functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with multimode open quantum harmonic oscillators and quadratic-exponential functionals (QEFs) as quantum risk-sensitive performance criteria. Such systems a…
A Karhunen-Loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel
Igor G. Vladimirov, Matthew R. James, Ian R. Petersen
This paper considers one-mode open quantum harmonic oscillators with a pair of conjugate position and momentum variables driven by vacuum bosonic fields according to a linear quant…
A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper extends the Karhunen-Loeve representation from classical Gaussian random processes to quantum Wiener processes which model external bosonic fields for open quantum syste…
Anisotropy-based robust performance criteria for statistically uncertain linear continuous time invariant stochastic systems
Igor G. Vladimirov
This paper is concerned with robust performance criteria for linear continuous time invariant stochastic systems driven by statistically uncertain random processes. The uncertainty…
Lie-algebraic connections between two classes of risk-sensitive performance criteria for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with the original risk-sensitive performance criterion for quantum stochastic systems and its recent quadratic-exponential counterpart. These functionals ar…