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Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Classical Conservative Properties of Five Difference Schemes for Coupled Klein-Gordon-Schr ?dinger Equations
Klein-Gordon-Schr膐dinger equations difference schemes conservation
2012/8/7
In this paper we compare the classical conservative properties of 痸e
di甧rence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the
quantum physics, and investigate the numerical ...
Accuracy of Classical Conservation Laws for Hamilton PDES Under Runge-Kutta Discretizations
Accuracy of Classical Conservation Laws Hamilton PDES Runge-Kutta Discretizations
2012/8/7
We investigate conservative properties of Runge-Kutta methods
for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth-
ods preserve precisely norm square conservation law. Based on...
Bar complexes and extensions of classical exponential functors
Bar complexes extensions classical exponential functors
2011/1/21
We compute Ext-groups between classical exponential func-tors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-gro...
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
asymptotic rates of zero-error classical classical channels
2010/12/15
It is known that the number of di erent classical messages which can be communicated
with a single use of a classical channel with zero probability of decoding error can sometimes
be increased by us...
Classical non mass preserving solutions of coagulation equations
Classical non mass preserving solutions coagulation equations
2010/12/6
In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists
in the loss of mass ...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
2010/4/8
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...