A controller is presented for point stabilization of the extended chained form system. The extended chained form system can not be stabilized by means of continuous pure-state feedback. Moreover, it can not be exponentially stabilized by smooth feedback, since the linearization around equilibrium points is uncontrollable. In this paper, a controller is given that ρ-exponentially stabilizes the ...

Probe insertion technique is considered as an exclusively frequency domain approach. It has been developed to increase robustness of the harmonic balance method, when simulating autonomous circuits to avoid the DC degenerate solution. This technique evidences several good properties, for instance when simulating oscillators either employing high quality factor resonators or AC coupled ones. In ...

Since there are many problems of traditional extended clustering algorithm in wireless sensor network like short extended time, over energy consumption, too many deviated position the of cluster head nodes and so on, this paper proposes the EESA algorithm. The algorithm makes many improvements on the way of dividing clusters, strategy of electing the cluster head and construction method of data...

The method of slow invariant manifolds (SIMs), applied previously to model the reduced kinetics of spatially homogeneous reactive systems, is extended to systems with diffusion. Through the use of a Galerkin projection, the governing partial differential equations are cast into a finite system of ordinary differential equations to be solved on an approximate inertial manifold. The SIM construct...

Multi-homogeneous homotopy continuation method is one of the most efficient approaches in solving all isolated solutions of a polynomial system of equations. Finding the optimal partition of variables with the minimal multihomogeneous Bézout number is clearly an optimization problem. Multi-homogeneous continuation using the optimal partition of variables reduces the computational cost in path t...

Rapid and convenient biosensing platforms could be beneficial to timely diagnosis and treatment of diseases in virtually any care settings. Sandwich immunoassays, the most commonly used methods for protein detection, often rely on expensive tags such as enzyme and tedious wash and incubation procedures operated by skilled labor. In this report, we revolutionized traditional sandwich immunoassay...

The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 differen...