We consider the bilinear optimal control of an advection-reaction-diffusion system, where arises as velocity field in advection term. Such a problem is generally challenging from both theoretical analysis and algorithmic design perspectives, mainly because state variable depends nonlinearly on and, additional divergence-free constraint coupled together with equation. Mathematically, proof exist...

This paper considers the problem of estimating the parameters of a bilinear system from input-output measurements. A novel approach to this problem is proposed, one based upon the so-called Expectation Maximisation algorithm, wherein maximum likelihood estimates are generated iteratively without the need for a gradient-based search algorithm. This simple method is shown to perform well in simul...

PIECEWISE BILINEAR PRECONDITIONING OF HIGH-ORDER FINITE ELEMENT METHODS SANG DONG KIM Abstract. Bounds on eigenvalues which are independent of both degrees of high-order elements and mesh sizes are shown for the system preconditioned by bilinear elements for high-order finite element discretizations applied to a model uniformly elliptic operator.

This paper deals with the design of a reduced-order H∞ filter for a stochastic bilinear system with a prescribed H∞ norm criterion. The considered system is bilinear in control and with multiplicative noises in the dynamics and in the measurement equations. The problem is transformed into the search of a unique gain matrix by using Sylvester-like constraints. The approach is based on the resolu...

A novel method is presented for the identification of a continuous-time bilinear system from the input–output data generated by a single experiment with multiple pulses. In contrast to the conventional approach utilizing multiple experiments, the current work documents the advantage of using a single experiment and sets up a procedure to obtain bilinear system models. The special pulse inputs e...