time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. the stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. it is well-known that the stabi...

In this paper, damping of interarea oscillations using simultaneous coordination of static Var compensator (SVC) and power system stabilizer (PSS) is considered.  To be effective in damping of oscillations, the best-input signal of power oscillation damper (POD) associated with SVC is selected using Hankel singular values (HSVs), and right-hand plane zeros (RHP-zeros). The 4-machine-2 area...

Small-amplitude excitations in a deformable discrete nonlinear Schrödinger equation. A detailed analysis of the small-amplitude solutions of a deformed discrete nonlin-ear Schrödinger equation is performed. For generic deformations the system possesses " singular " points which split the infinite chain in a number of independent segments. We show that small-amplitude dark solitons in the vicini...

a nonstandard finite difference (nsfd) scheme has been constructed and analyzed for a mathematical model that describes lotka–volterra food web model. this new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. linearized stability theory and schur–cohn criteria are used for local asymptoticstab...

First-order system least squares (FOSLS) is a methodology that offers an alternative to standard methods for solving partial differential equations. This paper studies the first-order system least-squares approach for scalar second-order elliptic boundary value problems with discontinuous coefficients. In a companion paper [M. Berndt, T. A. Manteuffel, S. F. McCormick, and G. Starke, Analysis o...

This article deals with the optimization, expressed as the minimization of the 2 norm of the tracking error, of the regulation transients caused by instantaneous, wide parameter variations occurring in the regulated systems. The parameter-varying regulated system is modeled by a set of discrete-time, linear, time-invariant systems and the regulated system switching law is assumed to be complete...

The origin of pairing based cryptosystems is in the MOV attack [10] on the elliptic curve discrete logarithm problem. The attack was first envisioned by Gerhard Frey. The idea was to use the bilinear properties of the Weil pairing to reduce a discrete logarithm problem in an elliptic curve over a finite field Fq to a discrete logarithm problem in Fqk . It is known [1] that most of the time for ...

A new delay-dependent criterion is developed for robust stability of linear discrete-time singular systems with state-delay and parametric uncertainties. The time-delay is varying between known bounds and the uncertainties are assumed to be time-invariant and norm-bounded appearing in the state and delay matrices. The new criterion is achieved by an expanded state-space system representation. A...