Search results for "Applied Mathematic"
showing 10 items of 4398 documents
On the analysis of a new Markov chain which has applications in AI and machine learning
2011
Accepted version of an article from the conference: 2011 24th Canadian Conference on Electrical and Computer Engineering. Published version available from IEEE: http://dx.doi.org/10.1109/CCECE.2011.6030727 In this paper, we consider the analysis of a fascinating Random Walk (RW) that contains interleaving random steps and random "jumps". The characterizing aspect of such a chain is that every step is paired with its counterpart random jump. RWs of this sort have applications in testing of entities, where the entity is never allowed to make more than a pre-specified number of consecutive failures. This paper contains the analysis of the chain, some fascinating limiting properties, and some i…
Stability andl1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model
2013
This paper considers the problem of delay-dependent stability andl1-gain analysis for positive 2D systems with state delays described by the Roesser model. Firstly, the copositive-type Lyapunov function method is used to establish the sufficient conditions for the addressed positive 2D system to be asymptotically stable. Then,l1-gain performance for the system is also analyzed. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the proposed results.
Application of Wavelet Networks to Adaptive Control of Robotic Manipulators
2011
Published version of a chapter in the book: Intelligent Robotics and Applications. Also available from the publisher at; http://dx.doi.org/10.1007/978-3-642-25489-5_39 In this paper, a wavelet-based adaptive control is proposed for a class of robotic manipulators, which consist of nonlinearities for friction effects and uncertain terms as disturbances. The controller is calculated by using a mixed of feedback linearization technique, supervisory control and H∞ control. In addition, the parameter adaptive laws of the wavelet network are developed using a Lyapunov-based design. It is also shown that both system tracking stability and convergence of the error estimation can be guaranteed in th…
Fuzzy Sliding Mode Controller Design Using Takagi-Sugeno Modelled Nonlinear Systems
2013
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/734094 Open access Adaptive fuzzy sliding mode controller for a class of uncertain nonlinear systems is proposed in this paper. The unknown system dynamics and upper bounds of the minimum approximation errors are adaptively updated with stabilizing adaptive laws. The closed-loop system driven by the proposed controllers is shown to be stable with all the adaptation parameters being bounded. The performance and stability of the proposed control system are achieved analytically using the Lyapunov stability theory. Simulations show that the …
IKT i matematikkopplæringen- tidstjuv eller tryllemiddel? : en studie av faktorer som kan påvirke bruken av IKT generelt og GeoGebra spesielt hos lær…
2010
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2010 Denne oppgaven er basert på en studie av svar på et elektronisk spørreskjema som jeg designet ut fra en kombinasjon av egne problemstillinger, relevant forskningslitteratur og tilsvarende internasjonale studier. Jeg mottok svar fra over 300 matematikklærere fra ulike deler av landet. Respondentene jobbet i 10. klasse eller i kursene 1P og/eller 1T i den videregående opplæringen. Problemstillinger Målet med oppgaven er å få en større innsikt i hvilke faktorer som er avgjørende for at noen lærere velger å ta i bruk matematisk programvare i opplæringen og andre ikke. Jeg undersøker også hvor utbredt det dynamiske matematikkverktøy…
An exploratory study of Grade 8 Albanian students' solution processes in mathemathics word problems
2012
Masteroppgave i matematikkdidaktikk- Universitetet i Agder, 2012 This dissertation is a case study, which set out to explore Grade 8 Albanian students‟ difficulties in mathematics word problems‟ solution processes. In particular the present study explores the role of two factors, these being the context in which the problem statement is framed, and the provision of ready-made diagram that represent the components of the problem statement and the relation between them. To identify students‟ difficulties on word problems, I used Duval‟s (2006) cognitive approach. In Duval‟s (2006) theory, conversion between different registers and treatment within the same register are considered as two types…
Albanian upper secondary students´ ways of working with equations : a case study based on task-based interviews
2010
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2010 Equations are an important part in algebra in the Albanian school mathematics curriculum. This case study focuses on the way six Albanian students approach and solve equations. The students that took part were in the first year of upper secondary school (10th school year), and they have chosen to have more mathematics than the knowledge required. Students are motivated to work with mathematics, and their mathematics background is approximately the same. They came from different lower secondary schools but the programs that they have followed are the same. The research question that has directed this research is: How do the Alba…
Læreres gjennomføring av tilpasset opplæring i matematikk : en kvalitativ studie av to lærere som har vært på etterutdanningskurs i matematikk
2009
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2009 Temaet for denne masteroppgaven er tilpasset opplæring. I Norge har retten til tilpasset opplæring vært lovfestet siden 1998. Mitt forskningsspørsmål lyder: Hvordan gjennomfører lærere på mellomtrinnet tilpasset opplæring i matematikk? Studien omhandler læreres matematikkundervisning i forhold til tilpasset opplæring og elevenes faglige prestasjoner. Det empiriske utgangspunktet er to lærere som begge har deltatt på etterutdanningskurs i matematikk hos meg og underviser i en 5. og i en 7. klasse på to skoler i samme kommune. I denne studien har jeg benyttet kvalitativ metode. Dataene er innhentet gjennom spørreskjema, fokusgrup…
Regneprøven som kartleggingsprøve i matematikk på småskoletrinnet : en analyse i forhold til forskning på tallforståelse og regneferdighet
2011
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2011 This master thesis is about an obligatory national assessment test in numeracy and calculation for 2nd grade in Norwegian primary school, referred to as “Regneprøven”. The following research questions have been formulated based on a development project at three schools: What information could Regneprøven provide on students' numeracy and arithmetic skills after 2nd grade? In order to refine the research question and the research field, I have asked the four questions below: I. What is the theoretical basis for Regneprøven? II. In what way do Regneprøven and the competency goals of LK06 correspond? III. In what way do Regneprøve…
Hva mener du, lærer? : kommunikasjonsproblemer i matematikk-klasserommet
2010
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2010 I masteroppgaven min fokuserer jeg på misforståelser/miskommunikasjon i matematikkundervisningen. Jeg har fått tilgang til videoer fra tre klasser (1. klasse, videregående skole) som jobbet med et inquirybasert opplegg i matematikk. Temaet var lineære funksjoner. Jeg har valgt ut ei gruppe elever fra hver klasse, og har analysert tre analoge episoder for hver gruppe. I analysen av disse har jeg lagt vekt på misforståelser som oppstår i forbindelse med tolkningen av oppgavene elevene blir gitt. Basert på erfaringer fra denne analysen har jeg så utformet en oppgave om figurtall som deltakere ved et videreutdanningskurs for lærere…