We consider model order reduction of bilinear descriptor systems using an interpolatory projection framework. Such nonlinear descriptor systems can be represented by a series of generalized linear descriptor systems (also called subsystems) by utilizing the Volterra-Wiener approach [22]. Standard projection techniques for bilinear systems utilize the generalized transfer function of these subsy...

The e€ects of a clearance or interference on the normal mode frequencies of a n-dof system with bilinear sti€ness and without damping are investigated through various modi®cations of the bilinear frequency relation. First, the exact penetration distances and bilinear natural frequencies of a single-degree-offreedom system are analytically obtained in terms of the amount of clearance and the str...

let $a$ be an abelian topological group and $b$ a trivial topological $a$-module. in this paper we define the second bilinear cohomology with a trivial coefficient. we show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. also we show that in the category of locally compact abelian groups a central extension with a continuous section can b...

comparison of linear and nonlinear (bilinear) time series models in reference crop evapotranspiration prediction in urmia synoptic stationreference crop evapotranspiration (eto) prediction is one of the important elements in optimizing agricultural water consumption. in this regard, one of the prediction approaches is to use the stochastic time series methods. in this research, ar (p) and arma(...

In this paper the existence of a quadratic control Lyapunov function for bilinear systems is considered. The existence of a control Lyapunov function ensures the existence of a control law which ensures the global asymptotic stability of the closed loop control system. In this paper we will derive conditions for the existence of a control Lyapunov function for bilinear systems. These conditions...

Finite state bilinear systems are described by a system of differential equations which are linear in state, linear in control, but not jointly linear in both as are traditional linear systems. An introduction to the physical relevance of these systems, their controllability and optimal control is analyzed in references [i] and [2]. It is shown that linear system controllability and performance...

The bilinear Generalized predictive controller is modified to account for unmodelled plant uncertainties and bounded disturbances. First, a generalized predictive control law is derived by means of minimizing a quadratic cost function and then modified by introducing an estimate of the modeling error as a feedback. The robustness results are derived by neither requiring a prior knowledge of the...

The purpose of this paper is to introduce the concept of L-fuzzybilinear operators. We obtain a decomposition theorem for L-fuzzy bilinearoperators and then prove that a L-fuzzy bilinear operator is the same as apowerset operator for the variable-basis introduced by S.E.Rodabaugh (1991).Finally we discuss the continuity of L-fuzzy bilinear operators.

A proper bilinear form is proposed for the N = 1 supersymmetric modified Korteweg-de Vries equation. The bilinear Bäcklund transformation for this system is constructed. As applications, some solutions are presented for it.