We analyze nonlinear effects in optically driven arrays of nonlinear metallic nanoparticles. We demonstrate that such plasmonic systems are characterized by a bistable response, and they can support the propagation of dissipative switching waves (or plasmonic kinks) connecting the states with different polarization. We study numerically the properties of such plasmonic kinks which are character...

In the present work a Decision Support System (DSS) is described, that supports decision making with regard to the selection of the appropriate control design approach for nonlinear plants. More specifically, this DSS supports decision making concerning several aspects of designing safe switching controllers. Decisions are based on specific available information about the plant’s description an...

This paper addresses the problem of controlling a state space region positively invariant while guaranteeing asymptotic stability for a class of nonlinear noncascade systems. Therefore a nonsmooth feedback controller is developed, achieving dissipa-tivity of the linear subsystem. This in turn allows switching of a control parameter of an additional asymptotic stabilizing control law. The freedo...

This work focuses on regime-switching jump diffusions, which include three classes of random processes, Brownian motions, Poisson processes, and Markov chains. First, a scalar linear system is treated as a benchmark model. Then stabilization of systems with one-sided linear growth is considered. Next, nonlinear systems that have a finite explosion time are treated, in which regularization (expl...

This paper presents a switch methodology together with a sum of squares (SOS) techniques to synthesize a nonlinear controller for a polynomial Takagi-Sugeno (TS) fuzzy model. A polynomial T-S fuzzy model adopts a polynomial representation of the nonlinear dynamics in its consequent part, which make it less susceptible to linearization errors. With respect to polynomial T-S fuzzy models, a fuzzy...