3 citations · 14 across the 37 of their papers we have counts for
12 papers · 1 filter
On the asymptotic of exit problems for controlled Markov diffusion processes with random jumps and vanishing diffusion terms
Getachew K. Befekadu
In this paper, we study the asymptotic of exit problem for controlled Markov diffusion processes with random jumps and vanishing diffusion terms, where the random jumps are introdu…
Large deviation principle for dynamical systems coupled with diffusion-transmutation processes
Getachew K. Befekadu
In this paper, we introduce a mathematical apparatus that is relevant for understanding a dynamical system with small random perturbations and coupled with the so-called transmutat…
On quantification of systemic redundancy in reliable systems
Getachew K. Befekadu, Panos J. Antsaklis
In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider…
On the controlled eigenvalue problem for stochastically perturbed multi-channel systems
Getachew K. Befekadu
In this brief paper, we consider the problem of minimizing the asymptotic exit rate of diffusion processes from an open connected bounded set pertaining to a multi-channel system w…
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…
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…
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…
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…
On the entropy of equilibrium measures and game-theoretic equilibrium feedback operators in multi-channel dynamical systems
Getachew K. Befekadu, Panos J. Antsaklis
We investigate the connection between the entropy of equilibrium measures and game-theoretic equilibrium feedback operators in a multi-channel dynamical system. Specifically, we sh…
Relating maximum entropy, resilient behavior and game-theoretic equilibrium feedback operators in multi-channel systems
Getachew K. Befekadu, Panos J. Antsaklis
In this paper, we first draw a connection between the existence of a stationary density function (which corresponds to an equilibrium state in the sense of statistical mechanics) a…
A brief remark on the topological entropy for linear switched systems
Getachew K. Befekadu
In this brief note, we investigate the topological entropy for linear switched systems. Specifically, we use the Levi-Malcev decomposition of Lie-algebra to establish a connection…
On a connection between the reliability of multi-channel systems and the notion of controlled-invariance entropy
Getachew K Befekadu
The purpose of this note is to establish a connection between the problem of reliability (when there is an intermittent control-input channel failure that may occur between actuato…