The control of nonlinear chaotic system and the estimation of parameters is a vital issue in nonlinear science. Studies on parameter estimation for chaotic systems have been investigated recently. A variant of Particle Swarm Optimization (PSO) known as Chaotic Multi Swarm Particle Swarm Optimization (CMS-PSO) is proposed which is inspired from the metaphor of ecological co-habitation of species...

This paper focuses on the convergence rate and numerical characteristics of the nonlinear information consensus filter for object tracking using a distributed sensor network. To avoid the Jacobian calculation, improve the numerical characteristic and achieve more accurate estimation results for nonlinear distributed estimation, we introduce square-root extensions of derivative-free information ...

• This paper studies the Michaelis–Menten model (MM), which plays an important role in pharmacokinetics, from a theoretical as well as a computational point of view. An analytical method for the nonlinear least squares estimation of the MM is introduced. It is proved that the MM model has not a unique parameter estimation (through the nonlinear least squares), and there is not a unique optimal ...

Combined state and parameter estimation of dynamical systems plays a crucial role in extracting system response from noisy measurements. A wide variety of methods have been developed to deal with the joint state-parameter estimation of nonlinear dynamical systems. The Extended Kalman Filter method is a popular approach for the joint systemparameter estimation of nonlinear systems. This method c...

This paper presents a state estimation algorithm of a single variable nonlinear system to which the stochastic approximation is applied. First, under a weaker condition than any previous one, it is shown that the estimation error by this algorithm converges to zero in the mean square for a disturbance free message process. Further, it is clarified that, under a still weaker condition, the estim...

State estimation techniques are used for improving the quality of measured signals and for reconstructing unmeasured quantities. In chemical reaction systems, nonlinear estimators are often used to improve the quality of estimated concentrations. These nonlinear estimators, which include the extended Kalman filter, the receding-horizon nonlinear Kalman filter and the moving-horizon estimator, u...

Soliton solutions to nonlinear wave equations have been recently proposed as signaling waveforms in a variety of communication contexts. One such system modulates the relative positions or amplitudes of multiple solitons generated by a nonlinear ladder circuit. At the receiver, there are inherent difficulties in the problems of parameter estimation and detection of soliton signals due to the no...