12 citations · 121 across the 57 of their papers we have counts for
8 papers · 1 filter
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…
Minimum Relative Entropy State Transitions in Linear Stochastic Systems: the Continuous Time Case
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with a dissipativity theory for dynamical systems governed by linear Ito stochastic differential equations driven by random noise with an uncertain drift. T…
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…
Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with a stochastic dissipativity theory using quadratic-exponential storage functions for open quantum systems with canonically commuting dynamic variables g…
Characterization and Moment Stability Analysis of Quasilinear Quantum Stochastic Systems with Quadratic Coupling to External Fields
Igor G. Vladimirov, Ian R. Petersen
The paper is concerned with open quantum systems whose Heisenberg dynamics are described by quantum stochastic differential equations driven by external boson fields. The system-fi…
The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields
Igor G. Vladimirov
We consider an "elastic" version of the statistical mechanical monomer-dimer problem on the n-dimensional integer lattice. Our setting includes the classical "rigid" formulation as…
Gaussian Stochastic Linearization for Open Quantum Systems Using Quadratic Approximation of Hamiltonians
Igor G. Vladimirov, Ian R. Petersen
This paper extends the energy-based version of the stochastic linearization method, known for classical nonlinear systems, to open quantum systems with canonically commuting dynami…