12 citations · 121 across the 57 of their papers we have counts for
72 papers
Measurement-based Initial Point Smoothing and Control Approach to Quantum Memory Systems
Igor G. Vladimirov, Ian R. Petersen, Guodong Shi
This paper is concerned with a quantum memory system for storing quantum information in the form of its initial dynamic variables in the presence of environmental noise. In order t…
Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria
Igor G. Vladimirov, Ian R. Petersen, Guodong Shi
This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bo…
Decoherence time maximization and partial isolation for open quantum harmonic oscillator memory networks
Igor G. Vladimirov, Ian R. Petersen, Guodong Shi
This paper considers a network of open quantum harmonic oscillators which interact with their neighbours through direct energy and field-mediated couplings and also with external q…
Optimization of partially isolated quantum harmonic oscillator memory systems by mean square decoherence time criteria
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with open quantum harmonic oscillators with position-momentum system variables, whose internal dynamics and interaction with the environment are governed by…
Discrete-time Negative Imaginary Systems from ZOH Sampling
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time N…
Decoherence time control by interconnection for finite-level quantum memory systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with open quantum systems whose dynamic variables have an algebraic structure, similar to that of the Pauli matrices for finite-level systems. The Hamiltoni…
Decoherence time in quantum harmonic oscillators as quantum memory systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with open quantum harmonic oscillators (OQHOs) described by linear quantum stochastic differential equations. This framework includes isolated oscillators w…
Quadratic-exponential coherent feedback control of linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen
This paper considers a risk-sensitive optimal control problem for a field-mediated interconnection of a quantum plant with a coherent (measurement-free) quantum controller. The pla…
Entropy bounds for invariant measure perturbations in stochastic systems with uncertain noise
Igor G. Vladimirov
This paper is concerned with stochastic systems whose state is a diffusion process governed by an Ito stochastic differential equation (SDE). In the framework of a nominal white-no…
Nonlinear Negative Imaginary Systems with Switching
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imagina…
Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems
Igor G. Vladimirov
This paper is concerned with quadratic-exponential moments (QEMs) for dynamic variables of quantum stochastic systems with position-momentum type canonical commutation relations. T…
Coherent quantum LQG controllers with Luenberger dynamics
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with the coherent quantum linear-quadratic-Gaussian control problem of minimising an infinite-horizon mean square cost for a measurement-free field-mediated…
Measuring decoherence by commutation relations decay for quasilinear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen
This paper considers a class of open quantum systems with an algebraic structure of dynamic variables, including the Pauli matrices for finite-level systems as a particular case. T…
Decoherence quantification through commutation relations decay for open quantum harmonic oscillators
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with multimode open quantum harmonic oscillators (OQHOs), described by linear quantum stochastic differential equations with multichannel external bosonic f…
Negative Imaginary State Feedback Equivalence for a Class of Nonlinear Systems
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
In this paper, we investigate the necessary and sufficient conditions under which a class of nonlinear systems are state feedback equivalent to nonlinear negative imaginary (NI) sy…
Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with linear stochastic systems whose output is a stationary Gaussian random process related by an integral operator to a standard Wiener process at the inpu…
Making Nonlinear Systems Negative Imaginary via State Feedback
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) s…
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with networks of identical linear quantum stochastic systems which interact with each other and external bosonic fields in a translation invariant fashion.…
State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with infinite-horizon growth rates of quadratic-exponential functionals (QEFs) for linear quantum stochastic systems driven by multichannel bosonic fields.…
Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
In this paper, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. Mor…
Quadratic-exponential functionals of Gaussian quantum processes
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with exponential moments of integral-of-quadratic functions of quantum processes with canonical commutation relations of position-momentum type. Such quadra…
Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
This paper presents necessary and sufficient conditions under which a linear system of relative degree either one or two is state feedback equivalent to a negative imaginary (NI) s…
Moment dynamics and observer design for a class of quasilinear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with a class of open quantum systems whose dynamic variables have an algebraic structure, similar to that of the Pauli matrices pertaining to finite-level s…
Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems with Free Body Motion
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
This paper provides a protocol to address the robust output feedback consensus problem for networked heterogeneous nonlinear negative-imaginary (NI) systems with free body dynamics…