Results 261 to 270 of about 287,878 (297)

String stability of interconnected systems

IEEE Transactions on Automatic Control, 1996
For interconnected systems of the type \[ \dot x_i= f(x_i, x_{i- 1},\dots, x_{i- r+ 1}),\tag{1} \] \(i\in \mathbb{N}\), \(x_i\equiv 0 \forall i\leq i_0\) with some fixed \(i_0\), where \(x_i\in \mathbb{R}^n\), \(f: (\mathbb{R}^n)^r\to \mathbb{R}^n\), \(f(0, \dots, 0)= 0\), the authors introduce the notion of string stability.
Swaroop, D., Hedrick, J. K.
exaly   +2 more sources

Conditions for string stability

Systems and Control Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

String Stability Analysis for Heterogeneous Vehicle Strings

2007 American Control Conference, 2007
The spacing errors of a string stable, homogeneous vehicle string attenuate uniformly down the vehicle chain. This result is useful for implementing vehicle formation control because it provides a guideline for the proper intervehicle spacing. In the heterogeneous case, the differing dynamics of the vehicles means the spacing errors do not attenuate or
Elaine Shaw, J. Karl Hedrick
openaire   +1 more source

Perturbative Stability of Smooth Strings

Physical Review Letters, 1987
Polyakov's theory of surfaces embedded in Euclidean space-time with an extrinsic curvature term is stable under small fluctuations only if the number of dimensions is positive and less than 26.
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Stabilization of Generic Trees of Strings

Journal of Dynamical and Control Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ammari, Kais, Jellouli, Mohamed, Khenissi, Moez   +2 more
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String stability in traffic flows

Applied Mathematics and Computation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corli A., Fan H.
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Existence and stability of nontopological strings

Physical Review D, 1988
The existence of a class of nontopological ``string'' soliton solutions is demonstrated. The string consists of a long, thin region of false vacuum supported against collapse by the pressure of massless particles trapped in its interior. It is shown that the string configuration is stable against decay into free particles.
, Copeland, , Kolb, , Lee
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Gravitational stability of local strings

Physical Review Letters, 1987
The full coupled gravity-string field equations are considered and they are used to show that a general local string will have an asymptotically conical structure. For the case of the Abelian Higgs model with U(1) gauge invariance, the gravitational field of a simple local string to first order in Geta/sup 2/ is exhibited.
openaire   +2 more sources