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Observability Analysis of Boolean Networks with Biological Applications
Koichi Kobayashi,Jun-ichi Imura 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper discusses the observability analys is of Boolean networks. A Boolean network model is one of the typical models of biological networks such as gene regulatory networks and metabolic networks, and it is one of the significant to picsto consider the analysis and control problems using Boolean network models. In this paper, after the notion of the observability is defined, we derive a necessary and sufficient condition for the system to be observable. Furthermore, we show an example of a neurotransmitter signaling pathway.
Stabilizing Model Predictive Control of Hybrid Systems with Discrete Dynamics
Koichi Kobayashi,Jun-ichi Imura,Kunihiko Hiraishi 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper discusses the stabilization problem of hybrid systems using control Lyapunov functions(CLFs). ACLF approach is one of the powerful method sin thest abilization of nonlinear systems. However, there are a few results for the stabilization of hybrid systems. In this paper, to develop stability theory of hybrid systems with discrete dynamics, a construction method of a CLF is proposed. Furthermore, based on the obtained CLF, a stabilizing model predictive control algorithm is alsoproposed. Finally, the effectiveness of the proposed method is shown by a numerical example.
MPC of 2D Channel Flow via Staggered Grid
Sompach Kongviwattanakul,Kenji Kashima,Jun-ichi Imura 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper discusses the performance of two different for mulations of Model Predictive Control(MPC) over the problem of 2 Dincompressible channel flow control. The objectives are to compareper form anceindex of both formulations in term of computational load on complex system, and be able to solve the problem of channel flow, which control inputs are applied at both to pand bottom walls. The flow dynamics are represented using Navier-Stoke sequations and linearized to the equilibrium Poiseuille flow profile. Discretization is the nimplemented using finite difference methods upon the setting of staggered grid. The simulation results show the performance of both for mulations of MP Constabilizing unstable flow into equilibrium flow profile, and the relationship between computational load and problem size for both formulations.
Linear time-varying modeling of inter-organ regulatory system
Daisuke Eto,Takashi Nakakuki,Jun-ichi Imura 제어로봇시스템학회 2022 제어로봇시스템학회 국제학술대회 논문집 Vol.2022 No.11
In this study, we propose a linear time-varying model of the inter-organ regulatory system. It is well-known that the regulation of energy metabolism is highly controlled by complex metabolic pathways coupled among various organs. On the other hand, a malfunction of this regulatory system can induce various pathological conditions related to the metabolic syndrome, implying that homeostasis of energy expenditure in the inter-organ regulatory system can be treated as a control problem, given an appropriate mathematical model. Moderately abstracting the complex mechanisms and maintaining the comprehensiveness of the inter-organ networks, we construct a simple model comprised of 16 states and 31 rate equations. Since our model is described as a linear time-varying system, it is expected that various control theories can be applied for the model-based analysis of the inter-organ regulatory system.