In the paper, we study weak invariance of differential inclusions with non-fixed time impulses under compactness type assumptions. When the right-hand side is one sided Lipschitz an extension of the well known relaxation theorem is proved. In this case also necessary and sufficient condition for strong invariance of upper semi continuous systems are obtained. Some properties of the solution set...

Synthetic biology is a rapidly expanding discipline at the interface between engineering and biology. Much research in this area has focused on gene regulatory networks that function as biological switches and oscillators. Here we review the state of the art in the design and construction of oscillators, comparing the features of each of the main networks published to date, the models used for ...

We propose a novel framework for experimental designs of liberalised wholesale power markets, namely the Agent-based Computational Economics of the Wholesale Electricity Market (ACEWEM) framework. Here, we describe a detailed market simulation whereby the strategies of power generators emerge as a result of a stochastic profit maximisation learning algorithm based upon the GAMLSS (Generalized A...

Mangrove forests are dynamic ecosystems found along low-lying coastal plains tropical, subtropical, and some warm-temperate coasts, predominantly on tidal flats fringing deltas, estuaries, bays, oceanic atolls. These landforms present varied hydrodynamic geomorphological settings for mangroves to persist could influence the extent of within-site propagule transport subsequent local regeneration...

A constrained stochastic weather generator (CSWG) for producing daily mean air temperature and precipitation based on annual from tree-ring records is developed tested in this paper. The principle stochastically generating assumes that temperatures any year can be approximated by a sinusoidal wave function plus perturbation the baseline. CSWG three additional assumptions: (1) In each month, tot...

Cognition is often defined as a dual process of physical and non-physical mechanisms. This duality originated from past theory on the constituent parts natural world. Even though material causation not an explanation for all processes, phenomena at cellular level life are modeled by causes. These include explanations function organ systems, including nervous system information processing in cer...

The main goal of this paper is to give a rigorous mathematical description of systems for processing quantum information. To do it authors consider abstract state machines as models of classical computational systems. This class of machines is refined by introducing constrains on a state structure, namely, it is assumed that state of computational process has two components: a control unit stat...

Regularization is a technique widely used to improve the stability of solutions to statistical problems. We propose a new regularization concept, performance-based regularization (PBR), for data-driven stochastic optimization. The goal is to improve upon Sample Average Approximation (SAA) in finite-sample performance while maintaining minimal assumptions about the data. We apply PBR to mean-CVa...