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ORCIDIgor G. Vladimirov
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2020 – today
- 2024
[j17]Igor G. Vladimirov
, Ian R. Petersen:
Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems. J. Frankl. Inst. 361(7): 106804 (2024)- [j16]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems. IEEE Trans. Autom. Control. 69(7): 4657-4672 (2024) - [c25]Igor G. Vladimirov, Ian R. Petersen:
Decoherence Time in Quantum Harmonic Oscillators as Quantum Memory Systems. ANZCC 2024: 211-216 - [i66]Igor G. Vladimirov, Ian R. Petersen:
Optimization of partially isolated quantum harmonic oscillator memory systems by mean square decoherence time criteria. CoRR abs/2409.15720 (2024) - 2023
- [j15]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Making nonlinear systems negative imaginary via state feedback. Autom. 155: 111127 (2023) - [j14]Igor G. Vladimirov:
A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. Entropy 25(8): 1179 (2023) - [j13]Igor G. Vladimirov, Ian R. Petersen:
State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems. J. Frankl. Inst. 360(17): 14098-14132 (2023) - [j12]Igor G. Vladimirov, Ian R. Petersen:
Decoherence quantification through commutation relations decay for open quantum harmonic oscillators. Syst. Control. Lett. 178: 105585 (2023) - [j11]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems With Free-Body Motion. IEEE Trans. Autom. Control. 68(9): 5536-5543 (2023) - [i65]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Nonlinear Negative Imaginary Systems with Switching. CoRR abs/2304.00694 (2023) - [i64]Igor G. Vladimirov:
Entropy bounds for invariant measure perturbations in stochastic systems with uncertain noise. CoRR abs/2305.12936 (2023) - [i63]Igor G. Vladimirov, Ian R. Petersen:
Quadratic-exponential coherent feedback control of linear quantum stochastic systems. CoRR abs/2308.03918 (2023) - [i62]Igor G. Vladimirov, Ian R. Petersen:
Decoherence time in quantum harmonic oscillators as quantum memory systems. CoRR abs/2310.17232 (2023) - [i61]Igor G. Vladimirov, Ian R. Petersen:
Decoherence time control by interconnection for finite-level quantum memory systems. CoRR abs/2311.02292 (2023) - [i60]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Discrete-time Negative Imaginary Systems from ZOH Sampling. CoRR abs/2312.05419 (2023) - [i59]Igor G. Vladimirov:
Position-momentum conditioning, relative entropy decomposition and convergence to equilibrium in stochastic Hamiltonian systems. CoRR abs/2312.09475 (2023) - 2022
- [j10]Igor G. Vladimirov, Ian R. Petersen:
Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. Math. Control. Signals Syst. 34(3): 607-646 (2022) - [j9]Igor G. Vladimirov, Ian R. Petersen:
Moment Dynamics and Observer Design for a Class of Quasilinear Quantum Stochastic Systems. SIAM J. Control. Optim. 60(3): 1223-1249 (2022) - [c24]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Nonlinear Systems Negative Imaginary via State Feedback. CDC 2022: 3827-3832 - [i58]Igor G. Vladimirov, Ian R. Petersen:
State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems. CoRR abs/2201.10492 (2022) - [i57]Igor G. Vladimirov, Ian R. Petersen:
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems. CoRR abs/2202.02261 (2022) - [i56]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Making Nonlinear Systems Negative Imaginary via State Feedback. CoRR abs/2203.13603 (2022) - [i55]Igor G. Vladimirov, Ian R. Petersen:
Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems. CoRR abs/2204.12519 (2022) - [i54]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Negative Imaginary State Feedback Equivalence for a Class of Nonlinear Systems. CoRR abs/2206.03081 (2022) - [i53]Igor G. Vladimirov, Ian R. Petersen:
Decoherence quantification through commutation relations decay for open quantum harmonic oscillators. CoRR abs/2208.02534 (2022) - [i52]Igor G. Vladimirov, Ian R. Petersen:
Measuring decoherence by commutation relations decay for quasilinear quantum stochastic systems. CoRR abs/2210.06757 (2022) - [i51]Igor G. Vladimirov, Ian R. Petersen:
Coherent quantum LQG controllers with Luenberger dynamics. CoRR abs/2211.07097 (2022) - [i50]Igor G. Vladimirov:
Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems. CoRR abs/2211.12161 (2022) - 2021
- [c23]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two. CDC 2021: 3948-3953 - [i49]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two. CoRR abs/2103.05249 (2021) - [i48]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Quadratic-exponential functionals of Gaussian quantum processes. CoRR abs/2103.09279 (2021) - [i47]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems. CoRR abs/2109.11273 (2021) - 2020
- [c22]Igor G. Vladimirov, Ian R. Petersen:
Mean Square Optimal Control by Interconnection for Linear Stochastic Hamiltonian Systems. ANZCC 2020: 24-29 - [c21]Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen:
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems. ANZCC 2020: 214-219 - [c20]Igor G. Vladimirov, Ian R. Petersen:
Convergence to Periodic Regimes in Nonlinear Feedback Systems with a Strongly Convex Backlash. ECC 2020: 71-76 - [c19]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
A Girsanov Type Representation of Quadratic-Exponential Cost Functionals for Linear Quantum Stochastic Systems. ECC 2020: 806-811 - [i46]Igor G. Vladimirov, Ian R. Petersen:
A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria. CoRR abs/2002.02443 (2020) - [i45]Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen:
Robust Output Feedback Consensus for Networked Identical Nonlinear Negative-Imaginary Systems. CoRR abs/2005.11492 (2020) - [i44]Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen:
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems. CoRR abs/2006.13505 (2020) - [i43]Igor G. Vladimirov, Ian R. Petersen:
Mean Square Optimal Control by Interconnection for Linear Stochastic Hamiltonian Systems. CoRR abs/2007.11649 (2020) - [i42]Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov:
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems with Free Body Motion. CoRR abs/2011.14610 (2020) - [i41]Igor G. Vladimirov, Ian R. Petersen:
Moment dynamics and observer design for a class of quasilinear quantum stochastic systems. CoRR abs/2012.08212 (2020)
2010 – 2019
- 2019
- [j8]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Effects of Parametric Uncertainties in Cascaded Open Quantum Harmonic Oscillators and Robust Generation of Gaussian Invariant States. SIAM J. Control. Optim. 57(3): 1597-1628 (2019) - [c18]Igor G. Vladimirov, Matthew R. James, Ian R. Petersen:
A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel. ANZCC 2019: 179-184 - [c17]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
A Quantum Karhunen-Loeve Expansion and Quadratic-Exponential Functionals for Linear Quantum Stochastic Systems∗. CDC 2019: 425-430 - [i40]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Lie-algebraic connections between two classes of risk-sensitive performance criteria for linear quantum stochastic systems. CoRR abs/1903.00710 (2019) - [i39]Igor G. Vladimirov:
Anisotropy-based robust performance criteria for statistically uncertain linear continuous time invariant stochastic systems. CoRR abs/1903.01692 (2019) - [i38]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems. CoRR abs/1904.03265 (2019) - [i37]Igor G. Vladimirov, Matthew R. James, Ian R. Petersen:
A Karhunen-Loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel. CoRR abs/1909.07377 (2019) - [i36]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
A Girsanov type representation of quadratic-exponential cost functionals for linear quantum stochastic systems. CoRR abs/1911.01539 (2019) - [i35]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems. CoRR abs/1911.03031 (2019) - [i34]Igor G. Vladimirov, Ian R. Petersen:
Convergence to periodic regimes in nonlinear feedback systems with a strongly convex backlash. CoRR abs/1912.09534 (2019) - [i33]Igor G. Vladimirov, Matthew R. James, Ian R. Petersen:
Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria. CoRR abs/1912.11687 (2019) - 2018
- [c16]Igor G. Vladimirov, Ian R. Petersen:
Dissipative Linear Stochastic Hamiltonian Systems. ANZCC 2018: 227-232 - [i32]Igor G. Vladimirov, Ian R. Petersen:
Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems. CoRR abs/1802.00185 (2018) - [i31]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty. CoRR abs/1802.00250 (2018) - [i30]Igor G. Vladimirov, Ian R. Petersen:
Dissipative Linear Stochastic Hamiltonian Systems. CoRR abs/1806.10926 (2018) - [i29]Igor G. Vladimirov, Ian R. Petersen:
Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. CoRR abs/1809.00389 (2018) - [i28]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states. CoRR abs/1809.06842 (2018) - 2017
- [j7]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
A numerical approach to optimal coherent quantum LQG controller design using gradient descent. Autom. 85: 314-326 (2017) - [i27]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Effects of parametric uncertainties in cascaded open quantum harmonic oscillators and robust generation of Gaussian invariant states. CoRR abs/1706.04358 (2017) - [i26]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems. CoRR abs/1707.09302 (2017) - [i25]Igor G. Vladimirov, Ian R. Petersen, Matthew R. James:
Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators. CoRR abs/1711.03503 (2017) - 2016
- [i24]Igor G. Vladimirov, Ian R. Petersen:
Directly Coupled Observers for Quantum Harmonic Oscillators with Discounted Mean Square Cost Functionals and Penalized Back-action. CoRR abs/1602.06498 (2016) - [i23]Igor G. Vladimirov:
A Phase-space Formulation of the Belavkin-Kushner-Stratonovich Filtering Equation for Nonlinear Quantum Stochastic Systems. CoRR abs/1602.07911 (2016) - [i22]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
A Numerical Approach to Optimal Coherent Quantum LQG Controller Design Using Gradient Descent. CoRR abs/1609.07590 (2016) - 2015
- [j6]Igor G. Vladimirov, Ian R. Petersen:
State Distributions and Minimum Relative Entropy Noise Sequences in Uncertain Stochastic Systems: The Discrete-Time Case. SIAM J. Control. Optim. 53(3): 1107-1153 (2015) - [c15]Igor G. Vladimirov:
A transverse hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control. CCA 2015: 29-34 - [c14]Igor G. Vladimirov:
A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems. CCA 2015: 1090-1095 - [c13]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
A gradient descent approach to optimal coherent quantum LQG controller design. ACC 2015: 1487-1492 - [c12]Arash Kh. Sichani, Ian R. Petersen, Igor G. Vladimirov:
Parameterization of stabilizing linear coherent quantum controllers. ASCC 2015: 1-6 - [c11]Igor G. Vladimirov:
Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem. AuCC 2015: 93-98 - [c10]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
Decentralized coherent quantum control design for translation invariant linear quantum stochastic networks with direct coupling. AuCC 2015: 312-317 - [c9]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
Covariance dynamics and entanglement in translation invariant linear quantum stochastic networks. CDC 2015: 7107-7112 - [i21]Igor G. Vladimirov:
Quantized linear systems on integer lattices: a frequency-based approach. CoRR abs/1501.04237 (2015) - [i20]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
A Gradient Descent Approach to Optimal Coherent Quantum LQG Controller Design. CoRR abs/1502.00274 (2015) - [i19]Arash Kh. Sichani, Ian R. Petersen, Igor G. Vladimirov:
Parameterization of Stabilizing Linear Coherent Quantum Controllers. CoRR abs/1503.02118 (2015) - [i18]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
Robust Mean Square Stability of Open Quantum Stochastic Systems with Hamiltonian Perturbations in a Weyl Quantization Form. CoRR abs/1503.02122 (2015) - [i17]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
Covariance Dynamics and Entanglement in Translation Invariant Linear Quantum Stochastic Networks. CoRR abs/1505.02286 (2015) - [i16]Igor G. Vladimirov:
A transverse Hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control. CoRR abs/1506.04737 (2015) - [i15]Igor G. Vladimirov:
A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems. CoRR abs/1506.04775 (2015) - [i14]Igor G. Vladimirov:
Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem. CoRR abs/1506.07653 (2015) - [i13]Igor G. Vladimirov:
Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators. CoRR abs/1512.08751 (2015) - 2014
- [c8]Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen:
Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form. AuCC 2014: 83-88 - [c7]Igor G. Vladimirov:
A quantum mechanical version of price's theorem for Gaussian states. AuCC 2014: 118-123 - [i12]Igor G. Vladimirov, Ian R. Petersen:
Physical Realizability and Mean Square Performance of Translation Invariant Networks of Interacting Linear Quantum Stochastic Systems. CoRR abs/1401.3717 (2014) - [i11]Igor G. Vladimirov:
A quantum mechanical version of Price's theorem for Gaussian states. CoRR abs/1409.4377 (2014) - [i10]Igor G. Vladimirov:
Anisotropy-based optimal filtering in linear discrete time invariant systems. CoRR abs/1412.3010 (2014) - 2013
- [j5]Igor G. Vladimirov, Ian R. Petersen:
A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. Syst. Control. Lett. 62(7): 550-559 (2013) - [c6]Igor G. Vladimirov, Ian R. Petersen:
Coherent quantum filtering for physically realizable linear quantum plants. ECC 2013: 2717-2723 - [i9]Igor G. Vladimirov, Ian R. Petersen:
Coherent Quantum Filtering for Physically Realizable Linear Quantum Plants. CoRR abs/1301.3154 (2013) - 2012
- [c5]Abhijit G. Kallapur, Igor G. Vladimirov, Ian R. Petersen:
Robust filtering for continuous-time uncertain nonlinear systems with an integral quadratic constraint. ACC 2012: 4807-4812 - [c4]Igor G. Vladimirov, Ian R. Petersen:
Characterization and moment stability analysis of quasilinear quantum stochastic systems with quadratic coupling to external fields. CDC 2012: 1691-1696 - [i8]Igor G. Vladimirov, Ian R. Petersen:
Gaussian Stochastic Linearization for Open Quantum Systems Using Quadratic Approximation of Hamiltonians. CoRR abs/1202.0946 (2012) - [i7]Igor G. Vladimirov, Ian R. Petersen:
Characterization and Moment Stability Analysis of Quasilinear Quantum Stochastic Systems with Quadratic Coupling to External Fields. CoRR abs/1205.3269 (2012) - [i6]Igor G. Vladimirov, Ian R. Petersen:
Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians. CoRR abs/1205.3566 (2012) - [i5]Igor G. Vladimirov, Ian R. Petersen:
State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete time case. CoRR abs/1208.3811 (2012) - [i4]Igor G. Vladimirov, Ian R. Petersen:
Hardy-Schatten Norms of Systems, Output Energy Cumulants and Linear Quadro-Quartic Gaussian Control. CoRR abs/1208.3815 (2012) - [i3]Igor G. Vladimirov, Ian R. Petersen:
Minimum Relative Entropy State Transitions in Linear Stochastic Systems: the Continuous Time Case. CoRR abs/1208.3981 (2012) - [i2]Eugene A. Maximov, Alexander P. Kurdyukov, Igor G. Vladimirov:
Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems. CoRR abs/1208.4081 (2012) - 2011
- [c3]Igor G. Vladimirov, Ian R. Petersen:
A dynamic programming approach to finite-horizon coherent quantum LQG control. AuCC 2011: 357-362 - [i1]Igor G. Vladimirov, Ian R. Petersen:
A Dynamic Programming Approach to Finite-horizon Coherent Quantum LQG Control. CoRR abs/1105.1574 (2011) - 2010
- [j4]Igor G. Vladimirov, Alexander Y. Klimenko:
Tracing Diffusion in Porous Media with Fractal Properties. Multiscale Model. Simul. 8(4): 1178-1211 (2010) - [c2]Igor G. Vladimirov, Ian R. Petersen:
Minimum relative entropy state transitions in discrete time systems with statistically uncertain noise. CDC 2010: 5314-5320
2000 – 2009
- 2007
- [c1]Igor G. Vladimirov, Alexander P. Kurdyukov, Michael M. Tchaikovsky:
Algorithmic and software implementation of anisotropy-based analysis and controller design problems. ALCOSP 2007: 238-243 - 2003
- [j3]Franco Vivaldi, Igor G. Vladimirov:
Pseudo-Randomness of Round-Off Errors in Discretized Linear Maps on the Plane. Int. J. Bifurc. Chaos 13(11): 3373-3393 (2003) - 2002
- [j2]Phil Diamond, Igor G. Vladimirov:
Branching Processes and Computational Collapse of Discretized unimodal Mappings. Int. J. Bifurc. Chaos 12(12): 2847-2867 (2002) - [j1]Phil Diamond, Igor G. Vladimirov:
Set-Valued Markov Chains and Negative Semitrajectories of Discretized Dynamical Systems. J. Nonlinear Sci. 12(2): 113-141 (2002)
Coauthor Index
[j17] [j16] [c25] [i66] [j15] [j13] [j12] [j11] [i65] [i63] [i62] [i61] [i60] [j10] [j9] [c24] [i58] [i57] [i56] [i55] [i54] [i53] [i52] [i51] [c23] [i49] [i48] [i47] [c22] [c21] [c20] [c19] [i46] [i45] [i44] [i43] [i42] [i41] [j8] [c18] [c17] [i40] [i38] [i37] [i36] [i35] [i34] [i33] [c16] [i32] [i31] [i30] [i29] [i28] [j7] [i27] [i26] [i25] [i24] [i22] [j6] [c13] [c12] [c10] [c9] [i20] [i19] [i18] [i17] [c8] [i12] [j5] [c6] [i9] [c5] [c4] [i8] [i7] [i6] [i5] [i4] [i3] [c3] [i1] [c2]
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