Gene regulatory circuits can receive multiple simultaneous inputs, which can enter the system through different locations. It is thus necessary to establish how these genetic circuits integrate multiple inputs as a function of their relative entry points. Here, we use the dynamic circuit regulating competence for DNA uptake in Bacillus subtilis as a model system to investigate this issue. Speci...

This work proposes a space–time least-squares Petrov–Galerkin (ST-LSPG) projection method for model reduction of nonlinear dynamical systems. In contrast to typical nonlinear model-reduction methods that first apply (Petrov– )Galerkin projection in the spatial dimension and subsequently apply time integration to numerically resolve the resulting low-dimensional dynamical system, the proposed me...

In this paper, a dynamical model-based SMC (Sliding Mode Control) is proposed fortrajectory tracking of a 3-RPS (Revolute, Prismatic, Spherical) parallel manipulator. With ignoring smallinertial effects of all legs and joints compared with those of the end-effector of 3-RPS, the dynamical model ofthe manipulator is developed based on Lagrange method. By removing the unknown Lagrange multipliers...

Keywords: Relative controllability Time delays Distributed delays Fractional derivative Mittag–Leffler function a b s t r a c t This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the...

This paper discusses the disturbance estimation problem for continuous-time multivariable dynamical systems with arbitrarily relative degrees. The disturbances, which are assumed bounded, refer to the combination of the external disturbances, the nonlinearities and the model uncertainties of the system. First, the disturbance observer is proposed for multivariable minimum phase systems. Then, t...

We explore the hypothesis that intergestural phasing relations are implemented via coupling terms in a nonlinear dynamical systems model. We extend the dynamical model of relative phasing to include the possibility of attractor states that are characterized by phase windows, and contrast this behavior with standard models that display punctate relative phasing.

We describe a structure of model for shortterm swing dynamics of multi-machine power grids, exhibiting an instability phenomenon termed the Coherent Swing Stability (CSI). This model is based on the swing equations with a linear term representing the interconnection between synchronous machines in a power grid. We analyze the New England 39-bus test system exhibiting CSI and show that the pheno...

We consider the FitzHugh-Nagumo system under the influence of white Gaussian noise in the excitable regime. We present an analytical approximation in the limit of fast activator time scale. Marginal probability densities of a reduced system and dynamical quantities such as the pulse rate are found and the mean interspike interval and its relative standard deviation are investigated. The latter ...