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Using the linear noise approximation, we approach to the problem of evaluation and prediction of behavior of autonomous oscillatory genetic networks fluctuated by intrinsic noise. In this approach, the state covariance of the networks represents all the information concerning the fluctuation by intrinsic noise, and further, when the genetic network is an autonomous oscillatory system, the state covariance...
The Lyapunov equation, which describes stochastic variations of systems as a covariance equation, plays a central role in evaluation and prediction of behavior of genetic regulatory networks fluctuated by molecular noises. When the genetic network is an autonomously oscillatory system, the Lyapunov equation becomes a periodic differential equation that has generally unbounded solutions. We discuss...
In this paper, we develop a method to realize an autonomous periodic motion of a small blimp system in a horizontal plane. The idea behind the method is to make the dynamics of a small blimp system approach asymptotically to that of the van der Pol equation that has a limit cycle. The method consists of the following two steps: First, we introduce two constraints. One has a role to connect the motion...
We propose a design method of disturbance attenuation type distributed control for identical decoupled linear systems together with conditions for stability of the closed loop global system. Using a simple example of formation flight corrupted by disturbances, we compare the design by the proposed method with that by the LQ control method in Borrelli and Keviczky (2006); we consider two kinds of disturbances,...
The interactions among the components of biological systems, which are DNA, RNA and proteins, create specific cell functions. Recently, many works try to understand mechanism of the interactions from dynamical systems viewpoints, and for this problem, concepts and results in control engineering are expected to play significant role. However, the biological systems are generally nonlinear and complex,...
H/sup /spl infin// control problem is discussed for a class of input delay systems. Recently a solution to the H/sup /spl infin// control problem, which covers the preview and delayed control, is also clarified based on the state-space approach. In case when the time delay occurs between the disturbance and the regulated output of the generalized plant, it is shown that the solvability and the solution...
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