The particle filter (PF) has emerged as a powerful tool for solving nonlinear and/or non-Gaussian filtering problems. When some of the states enter the model linearly, this can be exploited by using particles only for the “nonlinear” states and employing conditional Kalman filters for the “linear” states; this leads to the Rao-Blackwellised particle filter (RBPF). However, it is well known that...

this paper proposes a three-step method for solving nonlinear volterra integralequations system. the proposed method convents the system to a (3 × 3)nonlinear block system and then by solving this nonlinear system we ndapproximate solution of nonlinear volterra integral equations system. to showthe advantages of our method some numerical examples are presented.

In this paper, we propose a controllable embedding method for highand low-dimensional geometry processing through sparse matrix eigenanalysis. Our approach is equally suitable to perform non-linear dimensionality reduction on big data, or to offer non-linear shape editing of 3D meshes and pointsets. At the core of our approach is the construction of a multi-Laplacian quadratic form that is asse...

In this paper, we consider input-affine invertible MIMO nonlinear systems which can be transformed into a special normal form by means of the structure algorithm. The normal form highlights a partial state, a subset of state variables, which plays in this setting a role similar to that of the outputs and its derivatives in a SISO system. It is shown that, if a system in this class can be asympt...

Nonlinear multichannel filters have successfully been applied to biomedical signals, multichannel images as well as processing of vector fields. In multichannel signals, component variances and correlations among components may be unequal and time-varying. Such changes can be expressed as an affine transformation of the input signal. In this paper, we investigate how the performance and statist...

switching supervisory is the most important section of a feedback control process inmimo hybrid systems. by choosing a non-compatible controller, system may go tounstable mode or high overshoot response. in this paper, a new method of switchingfor selecting mbc controllers is discussed. results of the simulation show the mimo(2-in 2-out) linear hybrid system can be switched stable and low overs...

In this paper we deal with the problem of rendering hybrid/nonlinear systems into convergent closed-loop systems by means of a feedback law or switching rules. We illustrate our approach to this problem by means of two examples: the antiwindup design for a marginally stable system with input saturation, and the design of a switching rule for a piece-wise affine system operating in different modes.

This paper deals with the fuzzy based H∞ control problem for time-delay affine Takagi-Sugeno (T-S) fuzzy models. A class of nonlinear time-delay systems is approximated by a time-delay affine T-S fuzzy model in this paper. Based on LyapunovRazumikhin theorem and S-procedure, the stability and stabilization problems are solved by employing a Parallel Distributed Compensation (PDC) type H∞ fuzzy ...