Bang-bang control of a second-order non-linear stable plant with second-order nonlinearity
Bang-bang control of a second-order non-linear stable plant with fourth- order nonlinearity
Bifurcations and chaos in a periodically forced prototype adaptive control system
Bilinear system as a modelling framework for analysis of microalgal growth
A mathematical model of the microalgal growth under various light regimes is required for the optimization of design parameters and operating conditions in a photobioreactor. As its modelling framework, bilinear system with single input is chosen in this paper. The earlier theoretical results on bilinear systems are adapted and applied to the special class of the so-called intermittent controls which are characterized by rapid switching of light and dark cycles. Based on such approach, the following...
Bilinear systems and chaos
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.
Brève communication. Sur la commande en temps minimum du système