In many scientific and medical applications wavefront-sensorless adaptive optics (AO) systems are used to correct the wavefront aberration by optimizing a certain target parameter, which is nonlinear with respect to the control signal to the deformable mirror (DM). Hysteresis is the most common nonlinearity of DMs, which can be corrected if the information about the hysteresis behavior is prese...

The goal of this paper is to compute the generating series a closed-loop system when plant described in terms Chen-Fliess and static output feedback applied. first step reconsider so called Wiener-Fliess connection consisting followed by memoryless function. Of particular importance will be contractive nature map, which needed show that has representation. To explicitly series, two Hopf algebra...

We consider a quantum wire connected to the leads and subjected to dissipation along its length. The dissipation manifests as tunneling into (out of) the chain from (to) a memoryless environment. The evolution of the system is described by the Lindblad equation. Already infinitesimally small dissipation along the chain induces a quantum phase transition (QPT). This is a decoherence QPT: the red...

We consider a memoryless single station service system with servers S = {m1, . . . , mK}, and with job types C = {a, b, . . .}. Service is skill based, so that server mi can serve a subset of job types C(mi). Waiting jobs are served on a first come first served basis, while arriving jobs that find several idle servers are assigned to a feasible server randomly. We show that there exist assignme...

The letter M stands for memoryless, i.e. the Poisson process with exponential distribution. Other possibilities include D for deterministic inter-arrival times, and G denoting a general distribution of inter-arrival times. Therefore, the M/M/1 queueing system consists of customers arriving according to a Poisson process with rate λ, and one server with a service time per customer that is expone...

This paper is concerned with the problem of robust exponential stabilization for a class of uncertain hybrid systems with mixed time-varying delays in both the state and control. By using a Lyapunov-Krasovskii functional, a memoryless switching controller design is proposed to guarantee the global exponential stabilization. Based on matrix inequality technique, we establish some new delay-depen...

Since the introduction of Alternating-time Temporal Logic (AT L), many logics have been proposed to reason about different strategic capabilities of the agents of a system. In particular, some logics have been designed to reason about the uniform memoryless strategies of such agents. These strategies are the ones the agents can effectively play by only looking at what they observe from the curr...

An optimal joint source-channel coding (OJSCC) scheme is developed for encoding memoryless generalized Gaussian distribution (GGD) sources and transmission over noisy channels, including memoryless channels and bursty channels. In particular, we are able to incorporate both transition probability and bit error rate of a bursty channel model into an end-to-end rate-distortion (R-D) function. Thi...

We consider the Shannon cipher system with a variable key rate, and study the necessary and sufficient conditions for perfect secrecy in the sense that the exponential rate of the probability of breaking into the system would not be improved by observing the cryptogram. For a memoryless plaintext source, we derive achievable lower bounds on the number of key bits needed for almost every plainte...

In this paper, a method for optimizing the index map between the output indices of a vector quantizer and the channel symbols for a channel with a power constraint and multilevel signaling is presented. The method is based on simulated annealing and makes use of dynamic scaling of the signal constellation during the optimization procedure in order to optimize for a fixed transmitted power. The ...