Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.linear-quadratic games;linear feedback Nash equilibrium;affine systems;solvability conditions;Riccati equations

The Open-Loop Linear Quadratic Differential Game for Index One Descriptor Systems

In this paper we consider the linear quadratic differential game for descriptor systems that have index one. We derive both necessary and sufficient conditions for existence of an open-loop Nash equilibrium.Linear quadratic differential games;open-loop information structure;descriptor systems

Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon. The performance function is assumed to be indefinite and the underlying system affine. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.linear-quadratic games;linear feedback Nash equilibrium;affine systems;solvability conditions;Riccati equations

The Open-Loop Discounted Linear Quadratic Differential Game for Regular Higher Order Index Descriptor Systems

In this paper we consider the discounted linear quadratic differential game for descriptor systems that have an index larger than one. We derive both necessary and sufficient conditions for existence of an open-loop Nash (OLN) equilibrium. In a small macro-economic stabilization game we illustrate that the corresponding optimal response is generically cyclic.linear quadratic differential games;open-loop information structure;descriptor systems

The Optimal Linear Quadratic Feedback State Regulator Problem for Index One Descriptor Systems

In this note we present both necessary and sufficient conditions for the existence of a linear static state feedback controller if the system is described by an index one descriptor system. A priori no definiteness restrictions are made w.r.t. the quadratic performance criterium. It is shown that in general the set of solutions that solve the problem constitutes a manifold. This feedback formulation of the optimization problem is natural in the context of differential games and we provide a characterization of feedback Nash equilibria in a deterministic context.linear quadratic optimal control;descriptor systems;static stabilizing state feedback control

The Open-Loop Linear Quadratic Differential Game for Index One Descriptor Systems

In this paper we consider the linear quadratic differential game for descriptor systems that have index one. We derive both necessary and sufficient conditions for existence of an open-loop Nash equilibrium.

The Optimal Linear Quadratic Feedback State Regulator Problem for Index One Descriptor Systems

In this note we present both necessary and sufficient conditions for the existence of a linear static state feedback controller if the system is described by an index one descriptor system. A priori no definiteness restrictions are made w.r.t. the quadratic performance criterium. It is shown that in general the set of solutions that solve the problem constitutes a manifold. This feedback formulation of the optimization problem is natural in the context of differential games and we provide a characterization of feedback Nash equilibria in a deterministic context.

Gambaran Paparan Debu dan Fungsi Paru pada Pekerja Pembuatan Perabot Rumah Tangga di CV Kochi Sohor Terjun Medan Marelan Tahun 2013

Description of dust exposure and lung function in workers home furnishings maker on CV Kochi Sohor Terjun North Sumatera in 2013. The dust exposure in the working environment indirectly may result in variously disorder on health, one of them is a respiratory disorder that since then it is going to impact one's productivity. Noted that respiratory disorder might be influenced by amount the dust level around working environment and the worker's attitude over wood's dust exposure perhaps by using one's self protecting tool (APD), working service, previously illness history, smoking history of the worker. This study aims to know whether the influence of the wood's dust exposure against the function of wood of those workers in furniture with informal sector on CV Kochi Sohor Terjun Medan Marelan. The research adopted an description with sectional across approaching. It is involved 6 samples taken out population presented while conducting the field research. In collecting the data, the writer provided questionnaire, with tester of dust level in a High volume sampler, and the tool to measure the function of lungs there used Spirometer Sibelmed Datospir Mod 120B. The result of this research seen by a 2 working area measured that not exceeding the total dust level above quality standard of the Area of wood folding 4.53 mg/m3, and the refinery site 2.38 mg/m3 (< 10 mg/m3 NAB). The respondent got lowering function of lungs in a light restrictive 4 people and another 1 got reducing function of lungs in moderate restrictive. The result of bi-variant indicated no found any relation between the uses APD, working service, previous illness history, age, smoking history with reduced function of lungs. It is expected having a health check over all workers whose got reducing function of lungs or not and for not getting deteriorated function of lungs

Potential use of Fourier transform infrared spectroscopy for differentiation of bovine and porcine gelatins

In order to classify unknown gelatin into their species of origin, a simple and rapid method for the qualitative determination was developed using Fourier transform infrared (FTIR) in combination with attenuated total reflectance (ATR) and discriminant analysis. The spectra were analysed using a chemometric method, principal component analysis (PCA), to classify and characterise gelatin compounds using regions of the FTIR spectra in the range of 3290–3280 cm−1 and 1660–1200 cm−1 as calibration models. Results from PCA, which were subsequently represented by the Cooman’s plot showed a clear distinction between gelatin samples of bovine and porcine origins. This qualitative approach, besides providing a rapid determination of the source of gelatin, may also be established based on a second derivative study of the FTIR spectrum to alleviate any doubt of the gelatin source for applications in the food and pharmaceutical industries