We propose a new implementation of the sign function based spectral divide-and-conquer method for the generalized non-symmetric eigenvalue problem. The basic idea is to use the generalized matrix sign function to spli...
Linear time-periodic systems arise whenever a nonlinear system is linearized about a periodic trajectory. Stability of the solution may be proven by rigorous bounds on the solution. The key idea of this paper is to de...
In this paper, the Human Cognitive State (HCS) in the context of human and complex system interaction was classified by using the Fuzzy C-Means (FCM) algorithm. The most important features for the HCS pattern classifi...
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In this paper, we address the problem of an autonomous robotic vehicle collecting a finite but unknown number of objects with non-negligible masses and unknown locations in a restricted area and moving them to a parti...
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ISBN:
(纸本)9781479909964
In this paper, we address the problem of an autonomous robotic vehicle collecting a finite but unknown number of objects with non-negligible masses and unknown locations in a restricted area and moving them to a particular spot in minimum time. An adaptive certainty-equivalent navigation and control policy is introduced based on a pick-up and an exploration/drop-off mode. While the input signal in pick-up mode is easily obtained in real time, complete exploration and drop-off corresponds to a hybrid optimal control problem (OCP) with exponential complexity in the finitely discretized space. We propose a trajectory planning algorithm by restricting the motion of the robot to a finite weighted graph. Further, we describe a discrete-time approximation of the hybrid OCP and compare both approaches with respect to computational complexity and accuracy.
The M.E.S.S. software suite for solving large scale matrix equations and related problems is the successor of the obsolete LyaPack MATLAB® toolbox. The software suite consists of a new MATLAB toolbox and a separa...
We investigate the application of the LR Cholesky algorithm to symmetric hierarchical matrices, symmetric simple structured hierarchical matrices and symmetric hierarchically semiseparable (HSS) matrices. The data-spa...
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In this paper, the Human Cognitive State (HCS) in the context of human and complex system interaction was classified by using the Fuzzy C-Means (FCM) algorithm. The most important features for the HCS pattern classifi...
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In this paper, the Human Cognitive State (HCS) in the context of human and complex system interaction was classified by using the Fuzzy C-Means (FCM) algorithm. The most important features for the HCS pattern classification were extracted from a set of measured physiological variables based on the comparison of their respective rates of correct classification. The results have shown the usefulness of the FCM algorithm as well as the selected features for the challenging HCS classification problem.
This paper describes methods and the obtained results for objective evaluation of software architectures in the automotive embedded domain. Software architecture is the key factor for influencing and fulfilling non-fu...
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This paper describes methods and the obtained results for objective evaluation of software architectures in the automotive embedded domain. Software architecture is the key factor for influencing and fulfilling non-functional requirements that are addressed to a software system. Among others scalability, extensibility and portability are to be mentioned as major criteria. Until today however there is no approach that allows evaluating and measuring the quality of such software architectures objectively and quantitatively. The approach described here tries to close this gap and offers software architects methods and tools to be applied automatically to any existing architecture draft measuring an objective 'quality value'. Initially a quality model is developed which consists of several quality characteristics and quality attributes which are highly adapted and specialized to the specific needs of the automotive embedded software domain. After the identification of relevant quality attributes eight objective architecture metrics are developed and presented. The whole methodology is fully integrable into existing development processes. The suggested steps and artifacts can be added as optional upgrade. For a better understanding of the surrounding environment the current development process and necessary extensions are also explained. All metrics have been implemented in a fully functioning prototypical tool which can be operated via a graphical user interface (GUI) on any Java compliant system without further requirements. The user can freely configure which metrics shall be applied and how they are weighted to do an individual evaluation according to the software's specific needs or requirements. To prove its benefit for automotive applications and long-term establishment in the software development process the approach is evaluated. This is done in two consecutive steps. Firstly the general functioning and applicability is approved by using the metrics for several
We discuss the infinite time-horizon linear-quadratic optimal control problem for differential-algebraic equations. In contrast to previous approaches we do not impose any assumptions on the system except for impulse ...
Descriptor Lur’e equations are an important tool for the solution of linear-quadratic optimal control problems for differential-algebraic systems. In this article we discuss how one can construct all solutions of the...
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