We investigate vortex dynamics of a periodically driven Bose-Einstein condensate confined in a spatially two-dimensional optical lattice. An exact Floquet solution of the Gross-Pitaevskii equation is obtained for a certain parameter region which can be divided into the phase-jumping and phase-continuing regions. In the former region, the exact solution can describe spatiotemporal evolution of m...

In this paper the problem of robust stabilization of a general class of discrete-time linear stochastic systems subject to Markovian jumping and independent random perturbations is investigated. A stochastic version of the bounded real lemma is derived and the small gain theorem is proved. Finally, methodology for the designing of a stabilizing feedback gain for discrete-time linear stochastic ...

In this paper, the stability problem is studied for a class of stochastic neutral-type neural networks with Markovian jumping parameters. By using fixed point theorem, the existence and uniqueness of solution for the neural networks system are obtained. Furthermore, based on the Lyapunov-Krasovskii functional, a linear matrix inequality (LMI) approach is developed to establish sufficient condit...

Gene regulatory networks (GRNs) represent complex nonlinear coupled dynamical systems that models gene functions and regulations at the system level. Previous research has described GRNs as coupled nonlinear systems under parametric perturbations without considering the important aspect of stochasticity. However, a realistic model of a GRN is that of a hybrid stochastic retarded system that rep...

This paper studies the problem of the stochastic stability and H∞ control for the continuous-time time-delay systems with randomly Markovian jumping parameters. A new delay-dependent condition on the stochastic stability is proposed using a new stochastic Lyapunov-Krasovskii functional. The condition is formulated as a set of coupled linear matrix inequalities. Then a new stable H∞ control desi...

This paper develops a result on the design of robust steady-state estimator for a class of uncertain discrete-time systems with Markovian jump parameters. This result extends the steady-state Kalman filter to the case of norm-bounded time-varying uncertainties in the state and measurement equations as well as jumping parameters. We derive a linear state estimator such that the estimation-error ...

This paper is concerned with delay-dependent state estimator for neutral-type neural networks with mixed timevarying delays and Markovian jumping parameters. The addressed neural networks have a finite number of modes, and the modes may jump from one to another according to a Markov process. By construction of a suitable Lyapunov– Krasovskii functional, a delay-dependent condition is developed ...

In this paper, robust stochastic stabilization and H∞ control for a class of uncertain discrete-time linear systems with Markovian jumping parameters are considered. Based on a new bounded real lemma derived upon an inequality recently proposed, a new iterative state-feedback controller design procedure for discrete time-delay systems is presented. Sufficient conditions for stochastic stabiliza...