Development of tools for modeling hybrid systems with memory

Gökgöz, Nurgul
Regulatory processes and history dependent behavior appear in many dynamical systems in nature and technology. For modeling regulatory processes, hybrid systems offer several advances. From this point of view, to observe the capability of hybrid systems in a history dependent system is a strong motivation. In this thesis, we developed functional hybrid systems which exhibit memory dependent behavior such that the dynamics of the system is determined by both the location of the state vector and the memory. This property was explained by various examples. We used the hybrid system with memory in modeling the gene regulatory network of human immune response to Influenza A virus infection. We investigated the sensitivity of the piecewise linear model with memory. We introduced how the model can be developed in future.


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Selçuk, Ahmet Melih; Öktem, Hakan; Department of Scientific Computing (2007)
Inference of regulatory relations in dynamical systems is a promising active research area. Recently, most of the investigations in this field have been stimulated by the researches in functional genomics. In this thesis, the inferential modeling problem for switching hybrid systems is studied. The hybrid systems refers to dynamical systems in which discrete and continuous variables regulate each other, in other words the jumps and flows are interrelated. In this study, piecewise linear approximations are u...
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Inference of regulatory networks has received attention of researchers from many fields. The challenge offered by this problem is its being a typical modeling problem under insufficient information about the process. Hence, we need to derive the apriori unavailable information from the empirical observations. Modeling by inference consists of selecting or defining the most appropriate model structure and inferring the parameters. An appropriate model structure should have the following properties. The model...
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n this paper, we consider the monitoring and control of industrial projects that are performed by executing different activities within a given time duration. Hereby, it is desired to apply project control to each activity in order to avoid unexpected deviations in the project cost, respecting that the amount and cost of project control needs to be limited. We model the general setting of industrial project control as an optimal control problem with the goal of maximizing the cost reduction (savings) when a...
Citation Formats
N. Gökgöz, “Development of tools for modeling hybrid systems with memory,” M.S. - Master of Science, Middle East Technical University, 2008.