most citedExit Probabilities for a Chain of Distributed Control Systems with Small Random Perturbations

3 citations · 3 across the 5 of their papers we have counts for

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math.OC2014

On the risk-sensitive escape control for diffusion processes pertaining to an expanding construction of distributed control systems

Getachew K. Befekadu, Panos J. Antsaklis

In this paper, we consider an expanding construction of a distributed control system, which is obtained by adding a new subsystem one after the other, until all subsystems, whe…

math.DS2014

On the minimum exit rate for a diffusion process pertaining to a chain of distributed control systems with random perturbations

Getachew K. Befekadu, Panos J. Antsaklis

In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, e…

math.DS2014★ 3 cited

Exit Probabilities for a Chain of Distributed Control Systems with Small Random Perturbations

Getachew K. Befekadu, Panos J. Antsaklis

In this paper, we consider a diffusion process pertaining to a chain of distributed control systems with small random perturbation. The distributed control system is formed by n su…

math.DS2014

On the Problem of Minimum Asymptotic Exit Rate for Stochastically Perturbed Multi-Channel Dynamical Systems

Getachew K. Befekadu, Panos J. Antsaklis

We consider the problem of minimizing the asymptotic exit rate with which the controlled-diffusion process of a stochastically perturbed multi-channel dynamical system exits from a…

math.DS2014

Large Deviations for the Reliability Assessment of Redundant Multi-Channel Systems

Getachew K. Befekadu, Panos J. Antsaklis

In this paper, we are concerned with the reliability assessment of redundant multi-channel systems having multiple controllers with overlapping functionality -- where all controlle…