Abstract: In this paper, the problem of delay-dependent stabilization for singular systems with multiple internal and external incommensurate constant point delays is investigated. The condition when a singular system subject to point delays is regular independent of time delays is given and it can be easily test with numerical or algebraic methods. Based on LyapunovKrasovskii functional approa...

The goal of the paper is two-fold. first which to derive an explicit formula compute generating series a closed-loop system when plant, given in Chen-Fliess description multiplicative output feedback connection with another description. In addition, dynamic has natural interpretation as transformation group acting on plant. second two-part this same part albeit replaced by memoryless map, so ca...

Stochastic games are often used to model reactive processes. We consider the problem of synthesizing an optimal almost-sure winning strategy in a two-player (namely a system and its environment) turnbased stochastic game with both a qualitative objective as a Rabin winning condition, and a quantitative objective as a discounted reward. Optimality is considered only over the almost-sure winning ...

Error metric comparisons based on quality are typically dealt with by using visual image comparisons and model deviation measurement computations performed on the models after simplification. Performance measures of simplification techniques are measured based on computation time, regardless of the excess hardware resources used to improve these results. Comparisons of error metrics which are i...

Abstract. In this paper we discuss the problem of generically finding nearcollisions for cryptographic hash functions in a memoryless way. A common approach is to truncate several output bits of the hash function and to look for collisions of this modified function. In two recent papers, an enhancement to this approach was introduced which is based on classical cycle-finding techniques and cove...

Several models of probabilistic systems comprise both probabilistic and nondeterministic choice. In such models, the resolution of nondeterministic choices is mediated by the concept of policies (sometimes called adversaries). A policy is a criterion for choosing among nondeterministic alternatives on the basis of the past sequence of states of the system. By fixing the resolution of nondetermi...

in this paper, by applying three functional operators the previous results on the(poisson) variance of the external profile in digital search trees will be improved. we study the profile built over $n$ binary strings generated by a memoryless source with unequal probabilities of symbols and use a combinatorial approach for studying the poissonized variance, since the probability distribution of...

Memoryless scalar quantization (MSQ) is a common technique to quantize generalized linear samples of signals. The non-linear nature makes the analysis corresponding approximation error challenging, often resulting in use simplifying assumption, called “white noise hypothesis” (WNH) that useful, yet also known be not rigorous and, at least certain cases, valid. We obtain reconstruction estimates...

In probability theory and statistics, the term Markov property refers to memoryless of a stochastic process. It is named after Russian mathematician Andrey Andreyevich Markov. Every matrix gives linear equation system, solution this system us subset $\mathbb{R}_{n}^{n}$. This paper presents new manifold structure on set matrices. addition, matrices drawable, geometrical interpretation For proof...