Analytical dynamics of fractional type discrete system

2018 ◽  
Vol 11 (1) ◽  
pp. 15-47 ◽  
Author(s):  
Katica R. (Stevanovic) Hedrih
Keyword(s):  
Discrete System ◽  
Analytical Dynamics ◽  
Fractional Type

Regulation of a Decentralized Discrete System Having Delayed Interconnections

1982 ◽  
Author(s):  
A. Elkashlan ◽  
A.I.A. salama ◽  
M. El-Geneidy ◽  
O.A. Sebekhy
Keyword(s):  
Discrete System

scholarly journals Pair-production of cusps on a string in AdS3

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
David Vegh
Keyword(s):  
Pair Production ◽  
Discrete System ◽  
Gordon Equation ◽  
Equation Of Motion ◽  
Pair Creation ◽  
Speed Of Light ◽  
Final State ◽  
Classical Motion ◽  
Direct Energy ◽  
The Moment

Abstract The classical motion of a Nambu-Goto string in AdS3 spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to the sinh-Gordon (shG), cosh-Gordon (chG), or Liouville equation, depending on the value of the scalar curvature of the induced metric. In this paper, I examine solutions that contain both shG-type and chG-type regions. The boundary between these regions moves with the speed of light. I show that near such boundaries (generalized) solitons can be classically pair-produced. The solitons move subluminally (superluminally) in the shG (chG) region on the worldsheet, and they correspond to cusps on the string. A direct energy cascade is observed at the moment of pair-creation.For the calculations, I use an exact discretization of the equation of motion. The solutions are segmented strings. In this discrete system, pair-production leads to a complete evaporation of the shG region. The final state is a gas of cusps in a chG environment.

State Feedback Robust H∞ Control for Generalized Discrete System and Simulation

2013 ◽  
Vol 467 ◽  
pp. 621-626
Author(s):  
Chen Fang ◽  
Jiang Hong Shi ◽  
Kun Yu Li ◽  
Zheng Wang
Keyword(s):  
Discrete System ◽  
State Feedback ◽  
Closed Loop ◽  
The State ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Robust Controller ◽  
Closed Loop Systems

For a class of uncertain generalized discrete linear system with norm-bounded parameter uncertainties, the state feedback robust control problem is studied. One sufficient condition for the solvability of the problem and the state feedback robust controller are obtained in terms of linear matrix inequalities. The designed controller guarantees that the closed-loop systems is regular, causal, stable and satisfies a prescribed norm bounded constraint for all admissible uncertain parameters under some conditions. The result of the normal discrete system can be regarded as a particular form of our conclusion. A simulation example is given to demonstrate the effectiveness of the proposed method.

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