This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality.

Experimental observation of Bose-Einstein condensation ~BEC! in ultracold atomic clouds @1# has stimulated a new direction in the study of macroscopic quantum phenomena. Basically, the interaction between two confined bosons in a condensate is determined by the s-wave scattering length a and it can be either repulsive (a.0) or attractive (a,0). Although first BEC experiments were commonly reali...

A new stability criterion on Nichols chart is presented. It provides an alternative graphical method for stability analysis on Nichols chart. Furthermore this result can be used to test the stability of the new nominal closed-loop system arising in QFT controller design method for non-minimum phase and unstable plants, which is diicult to test with the existing stability criterion.

In this paper, to concern the delay-dependent stability criterion, we adopt the integral inequality lemma on the LR method. Some variables are introduced to relax the integral term that is generated by the integral inequality lemma. Actually, the form of the criterion shows that, without any model transformations, we can obtain a stability criterion that can be extended to the stabilization pro...

In this work, a fractional-order synthetic drugs transmission model with psychological addicts has been proposed along treatment. The effects of are deadly and sometimes even violent. We have studied the local global stability different criterion. existence uniqueness criterion positivity boundedness solutions also established. stabilities decided by basic reproduction number R0. analyzed sensi...

The non-classical nature of quantum entanglement is a key ingredient in the rapidly developing science of quantum information. One of the important tasks involved is quantifying quantum entanglement, which is essential in assessing the performance of a quantum system in several applications such as quantum teleportation, quantum cryptography, quantum computation and quantum communication There ...

In this paper, the minimum error entropy criterion has been utilized to design controller for non-linear networked control systems (NCSs), where time delays in the communication channels are of random nature. A recursive optimization solution has been developed based on the recently developed stochastic distribution control strategy. The local stability condition of the closed loop NCSs has bee...

The paper deals with the problem of nonlinear fuzzy observers for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models with local nonlinear terms. On the basis of the Lyapunov stability criterion and incremental quadratic inequalities, the sufficient LMI design conditions are outlined. Numerical example is given to illustrate the procedure and to validate the perfor...

Closed field line confinement systems can develop convective cells when the MHD interchange stability criterion is violated. Using a previously derived set of reduced equations [ V.P. Pastukhov and N.V. Chudin, Plasma Physics Reports 27, 907 (2001)] it is shown that a true steady state solution can exist. For an assumed large-scale vortex pattern the plasma pressure profile that is implied by t...

Chaos criterion for quantum field theory is proposed. Its correspondence with classical chaos criterion in semi-classical regime is shown. It is demonstrated for real scalar field that proposed chaos criterion can be used to investigate stability of classical solutions of field equations. Phenomenon of chaos attracts much attention in various fields of physics. Originally it was associated with...