Branching Processes and Computational Collapse of Discretized unimodal Mappings. - Phil Diamond; Igor G. Vladimirov (Int. J. Bifurc. Chaos, 2002)

Set-Valued Markov Chains and Negative Semitrajectories of Discretized Dynamical Systems. - Phil Diamond; Igor G. Vladimirov (J. Nonlinear Sci., 2002)

Pseudo-Randomness of Round-Off Errors in Discretized Linear Maps on the Plane. - Franco Vivaldi; Igor G. Vladimirov (Int. J. Bifurc. Chaos, 2003)

Algorithmic and software implementation of anisotropy-based analysis and controller design problems. - Igor G. Vladimirov; Alexander P. Kurdyukov; Michael M. Tchaikovsky (ALCOSP, 2007)

Minimum relative entropy state transitions in discrete time systems with statistically uncertain noise. - Igor G. Vladimirov; Ian R. Petersen (CDC, 2010)

Tracing Diffusion in Porous Media with Fractal Properties. - Igor G. Vladimirov; Alexander Y. Klimenko (Multiscale Model. Simul., 2010)

A dynamic programming approach to finite-horizon coherent quantum LQG control. - Igor G. Vladimirov; Ian R. Petersen (AuCC, 2011)

Robust filtering for continuous-time uncertain nonlinear systems with an integral quadratic constraint. - Abhijit G. Kallapur; Igor G. Vladimirov; Ian R. Petersen (ACC, 2012)

Characterization and moment stability analysis of quasilinear quantum stochastic systems with quadratic coupling to external fields. - Igor G. Vladimirov; Ian R. Petersen (CDC, 2012)

Gaussian Stochastic Linearization for Open Quantum Systems Using Quadratic Approximation of Hamiltonians. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2012)

Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2012)

Hardy-Schatten Norms of Systems, Output Energy Cumulants and Linear Quadro-Quartic Gaussian Control - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2012)

Minimum Relative Entropy State Transitions in Linear Stochastic Systems: the Continuous Time Case - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2012)

Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems - Eugene A. Maximov; Alexander P. Kurdyukov; Igor G. Vladimirov (CoRR, 2012)

Coherent quantum filtering for physically realizable linear quantum plants. - Igor G. Vladimirov; Ian R. Petersen (ECC, 2013)

A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. - Igor G. Vladimirov; Ian R. Petersen (Syst. Control. Lett., 2013)

Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form. - Arash Kh. Sichani; Igor G. Vladimirov; Ian R. Petersen (AuCC, 2014)

A quantum mechanical version of price's theorem for Gaussian states. - Igor G. Vladimirov (AuCC, 2014)

Anisotropy-based optimal filtering in linear discrete time invariant systems. - Igor G. Vladimirov (CoRR, 2014)

Physical Realizability and Mean Square Performance of Translation Invariant Networks of Interacting Linear Quantum Stochastic Systems. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2014)

A transverse hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control. - Igor G. Vladimirov (CCA, 2015)

A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems. - Igor G. Vladimirov (CCA, 2015)

A gradient descent approach to optimal coherent quantum LQG controller design. - Arash Kh. Sichani; Igor G. Vladimirov; Ian R. Petersen (ACC, 2015)

Parameterization of stabilizing linear coherent quantum controllers. - Arash Kh. Sichani; Ian R. Petersen; Igor G. Vladimirov (ASCC, 2015)

Decentralized coherent quantum control design for translation invariant linear quantum stochastic networks with direct coupling. - Arash Kh. Sichani; Igor G. Vladimirov; Ian R. Petersen (AuCC, 2015)

Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem. - Igor G. Vladimirov (AuCC, 2015)

Covariance dynamics and entanglement in translation invariant linear quantum stochastic networks. - Arash Kh. Sichani; Igor G. Vladimirov; Ian R. Petersen (CDC, 2015)

Quantized linear systems on integer lattices: a frequency-based approach. - Igor G. Vladimirov (CoRR, 2015)

Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators. - Igor G. Vladimirov (CoRR, 2015)

State Distributions and Minimum Relative Entropy Noise Sequences in Uncertain Stochastic Systems: The Discrete-Time Case. - Igor G. Vladimirov; Ian R. Petersen (SIAM J. Control. Optim., 2015)

A Phase-space Formulation of the Belavkin-Kushner-Stratonovich Filtering Equation for Nonlinear Quantum Stochastic Systems. - Igor G. Vladimirov (CoRR, 2016)

Directly Coupled Observers for Quantum Harmonic Oscillators with Discounted Mean Square Cost Functionals and Penalized Back-action. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2016)

A numerical approach to optimal coherent quantum LQG controller design using gradient descent. - Arash Kh. Sichani; Igor G. Vladimirov; Ian R. Petersen (Autom., 2017)

Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2017)

Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2017)

Dissipative Linear Stochastic Hamiltonian Systems. - Igor G. Vladimirov; Ian R. Petersen (ANZCC, 2018)

Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2018)

Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2018)

Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2018)

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 (ANZCC, 2019)

A Quantum Karhunen-Loeve Expansion and Quadratic-Exponential Functionals for Linear Quantum Stochastic Systems∗. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CDC, 2019)

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 (CoRR, 2019)

Anisotropy-based robust performance criteria for statistically uncertain linear continuous time invariant stochastic systems. - Igor G. Vladimirov (CoRR, 2019)

Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2019)

Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria. - Igor G. Vladimirov; Matthew R. James; Ian R. Petersen (CoRR, 2019)

Effects of Parametric Uncertainties in Cascaded Open Quantum Harmonic Oscillators and Robust Generation of Gaussian Invariant States. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (SIAM J. Control. Optim., 2019)

Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems. - Kanghong Shi; Igor G. Vladimirov; Ian R. Petersen (ANZCC, 2020)

Mean Square Optimal Control by Interconnection for Linear Stochastic Hamiltonian Systems. - Igor G. Vladimirov; Ian R. Petersen (ANZCC, 2020)

Convergence to Periodic Regimes in Nonlinear Feedback Systems with a Strongly Convex Backlash. - Igor G. Vladimirov; Ian R. Petersen (ECC, 2020)

A Girsanov Type Representation of Quadratic-Exponential Cost Functionals for Linear Quantum Stochastic Systems. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (ECC, 2020)

A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2020)

Robust Output Feedback Consensus for Networked Identical Nonlinear Negative-Imaginary Systems. - Kanghong Shi; Igor G. Vladimirov; Ian R. Petersen (CoRR, 2020)

Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems with Free Body Motion. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CoRR, 2020)

Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CDC, 2021)

Quadratic-exponential functionals of Gaussian quantum processes. - Igor G. Vladimirov; Ian R. Petersen; Matthew R. James (CoRR, 2021)

Nonlinear Systems Negative Imaginary via State Feedback. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CDC, 2022)

Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2022)

Negative Imaginary State Feedback Equivalence for a Class of Nonlinear Systems. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CoRR, 2022)

Measuring decoherence by commutation relations decay for quasilinear quantum stochastic systems. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2022)

Coherent quantum LQG controllers with Luenberger dynamics. - Igor G. Vladimirov; Ian R. Petersen (CoRR, 2022)

Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems. - Igor G. Vladimirov (CoRR, 2022)

Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. - Igor G. Vladimirov; Ian R. Petersen (Math. Control. Signals Syst., 2022)

Moment Dynamics and Observer Design for a Class of Quasilinear Quantum Stochastic Systems. - Igor G. Vladimirov; Ian R. Petersen (SIAM J. Control. Optim., 2022)

Nonlinear Negative Imaginary Systems with Switching. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CoRR, 2023)

Entropy bounds for invariant measure perturbations in stochastic systems with uncertain noise. - Igor G. Vladimirov (CoRR, 2023)

Discrete-time Negative Imaginary Systems from ZOH Sampling. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (CoRR, 2023)

Position-momentum conditioning, relative entropy decomposition and convergence to equilibrium in stochastic Hamiltonian systems. - Igor G. Vladimirov (CoRR, 2023)

A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. - Igor G. Vladimirov (Entropy, 2023)

Decoherence quantification through commutation relations decay for open quantum harmonic oscillators. - Igor G. Vladimirov; Ian R. Petersen (Syst. Control. Lett., 2023)

Making nonlinear systems negative imaginary via state feedback. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (Autom., 2023)

Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems With Free-Body Motion. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (IEEE Trans. Autom. Control., 2023)

State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems. - Igor G. Vladimirov; Ian R. Petersen (J. Frankl. Inst., 2023)

Decoherence Time in Quantum Harmonic Oscillators as Quantum Memory Systems. - Igor G. Vladimirov; Ian R. Petersen (ANZCC, 2024)

Decoherence time control by interconnection for finite-level quantum memory systems. - Igor G. Vladimirov; Ian R. Petersen (Eur. J. Control, 2024)

Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems. - Igor G. Vladimirov; Ian R. Petersen (J. Frankl. Inst., 2024)

Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems. - Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov (IEEE Trans. Autom. Control., 2024)

Optimization of Partially Isolated Quantum Harmonic Oscillator Memory Systems by Mean Square Decoherence Time Criteria. - Igor G. Vladimirov; Ian R. Petersen (ANZCC, 2025)

Quadratic-Exponential Coherent Feedback Control of Linear Quantum Stochastic Systems. - Igor G. Vladimirov; Ian R. Petersen (SIAM J. Control. Optim., 2025)

Decoherence time maximization and partial isolation for open quantum harmonic oscillator memory networks. - Igor G. Vladimirov; Ian R. Petersen; Guodong Shi (CoRR, 2025)