12 citations · 121 across the 57 of their papers we have counts for
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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…
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…
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…
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…
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…
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…
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…
Mean Square Optimal Control by Interconnection for Linear Stochastic Hamiltonian Systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with linear stochastic Hamiltonian (LSH) systems subject to random external forces. Their dynamics are modelled by linear stochastic differential equations,…
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems
Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen
This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous nonlinear negative-imaginary (NI) systems. Heterogeneous nonlinear output…
Robust Output Feedback Consensus for Networked Identical Nonlinear Negative-Imaginary Systems
Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen
A robust output feedback consensus problem for networked identical nonlinear negative-imaginary (NI) systems is investigated in this paper. Output consensus is achieved by applying…
A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with linear-quadratic-Gaussian (LQG) control for a field-mediated feedback connection of a plant and a coherent (measurement-free) controller. Both the plan…
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…
Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with quantum harmonic oscillators consisting of a quantum plant and a directly coupled coherent quantum observer. We employ discounted quadratic performance…
Dissipative Linear Stochastic Hamiltonian Systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stoc…
Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with networks of interacting linear systems at sites of a multidimensional lattice. The systems are governed by linear ODEs with constant coefficients drive…
Directly Coupled Observers for Quantum Harmonic Oscillators with Discounted Mean Square Cost Functionals and Penalized Back-action
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with quantum harmonic oscillators consisting of a quantum plant and a directly coupled coherent quantum observer. We employ discounted quadratic performance…
Anisotropy-based optimal filtering in linear discrete time invariant systems
Igor G. Vladimirov
This paper is concerned with a problem of robust filtering for a finite-dimensional linear discrete time invariant system with two output signals, one of which is directly observed…
Physical Realizability and Mean Square Performance of Translation Invariant Networks of Interacting Linear Quantum Stochastic Systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with translation invariant networks of linear quantum stochastic systems with nearest neighbour interaction mediated by boson fields. The systems are associ…
Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems
Eugene A. Maximov, Alexander P. Kurdyukov, Igor G. Vladimirov
We consider a finite horizon linear discrete time varying system whose input is a random noise with an imprecisely known probability law. The statistical uncertainty is described b…
Hardy-Schatten Norms of Systems, Output Energy Cumulants and Linear Quadro-Quartic Gaussian Control
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with linear stochastic control systems in state space. The integral of the squared norm of the system output over a bounded time interval is interpreted as…
State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete time case
Igor G. Vladimirov, Ian R. Petersen
The paper is concerned with a dissipativity theory and robust performance analysis of discrete-time stochastic systems driven by a statistically uncertain random noise. The uncerta…