In this paper, we investigate the nonlinear dynamics of connected vehicle systems. Vehicle-to-vehicle (V2V) communication is exploited when controlling the longitudinal motion of a few vehicles in the traffic flow. In order to achieve the desired systemlevel behavior, the plant stability and the head-to-tail string stability are characterized at the nonlinear level using Lyapunov functions. A m...

We consider an asymptotic stability of a circular system where the coupling Laplacians are different for each state used for synchronization. It is shown that there must be a symmetric coupling in the output state to guarantee the stability for agents with two integrators in the open loop. Systems with agents having three or more integrators cannot be stabilized by any coupling. In addition, re...

We construct a simple class of exact solutions of the electroweak theory including the naked Z–string and fermion fields. It consists in the Z–string configuration (φ, Z θ), the time and z components of the neutral gauge bosons (Z 0,3 , A 0,3) and a fermion condensate (lepton or quark) zero mode. The Z–string is not altered (no feed back from the rest of fields on the Z–string) while fermion co...

Transversal vibrations of an axially moving string under boundary damping are investigated. Mathematically, it represents a homogenous linear partial differential equation subject to nonhomogeneous boundary conditions. The string is moving with a relatively (low) constant speed, which is considered to be positive.  The string is kept fixed at the first end, while the other end is tied with the ...

The paper focuses on the design of a platoon control system which takes into consideration safe travel by using the string stability theorem and the knowledge of the inclinations of the road along the route of the platoon. By choosing the velocity of the platoon fitting in with the inclinations of the road the number of unnecessary accelerations and brakings can be reduced, thus so can the oper...

There are two important examples of physical systems which violate the strong energy condition : Universes (like, it would seem, our own) with a positive cosmological constant, and wormholes. We suggest that a positive cosmological constant can be reconciled with string theory by considering wormholes in string backgrounds. This is argued in two directions : first, we show that brane-worlds wit...

We show that B-type π-stable D-branes do not reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We construct the almost Hermitian YangMills/Einstein equations for the non-linear deformations of Yang-Mills instantons that appear in the low-energy geometric limit of strings. Since we can show that solutions exist iff they are π-stable, this...

We use the low energy effective U(1) action on the Coulomb branch of N = 4 super Yang-Mills theory to construct approximate field configurations for solitonic dyons in these theories, building on the brane prong description developed in hep-th/0101114. This dovetails closely with the corresponding description of these dyons as string webs stretched between D-branes in the transverse space. The ...

The relativistic string with massive ends (the meson model) and four various string baryon models: q-qq, q-q-q, Y and ∆ are considered. In particular, the rotational motions for all these systems are applied to describing the leading Regge trajectories, and also the classical dynamics beyond the usual rectilinear string rotations is studied. For the string meson model the two types of quasirota...