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Linear matrix inequalities in system and control theory
Linear matrix inequality system the control theory and linear matrix inequality affine combination symmetric positive semidefinite matrix
2015/8/12
A wide variety of problems in system and control theory can be formulated (or reformulated) as convex optimization problems involving linear matrix inequalities, that is, constraints requiring an affi...
Outgoing Cuntz Scattering System for a Coisometric Lifting and Transfer Function
multivariate operator theory row contraction contractive lifting outgoing Cuntz scattering system transfer function multi-analytic operator
2012/6/29
We study a coisometry that intertwines Popescu's presentations of minimal isometric dilations of a given operator tuple and of a coisometric lifting of the tuple. Using this we develop an outgoing Cun...
The Toda chains take a particular place in the theory of integrable systems,in contrast with the linear group structure for the Gaudin model this system is related to the corresponding Borel group and...
Forced Nonlinear Resonance in a System of Coupled Oscillators
Forced Nonlinear Resonance System of Coupled Oscillators
2011/1/19
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t ∼ "−2 one component of ...
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
A nonlocal quasilinear multi-phase system nonconstant specific heat heat conductivity
2010/11/23
In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneous third type bounda...
Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
the Vlasov Equation the Vlasov - Poisson System
2010/11/23
Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus impos...
Higher order Painleve system of type D^{(1)}_{2n+2} and monodromy preserving deformation
Painleve system monodromy preserving deformation
2010/11/8
The higher order Painleve system of type D^{(1)}_{2n+2} is proposed by Y. Sasano. It is an extension of the sixth Painleve equation for the affine Weyl group symmetry and expressed as a Hamiltonian sy...
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Nonlinear Stability the Periodic Non-Periodic Zakharov System
2010/11/22
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic flow generated for...
On the existence of bounded solutions for a nonlinear elliptic system
bounded solutions a nonlinear elliptic system
2010/11/9
This work deals with the system $(-\Delta)^m u= a(x)\, v^p$, $(-\Delta)^m v=b(x)\, u^q$ with Dirichlet boundary condition in a domain $\Omega\subset\RR^n$, where $\Omega$ is a ball if $n\ge 3$ or a sm...
MIMO Identical Eigenmode Transmission System (IETS) - A Channel Decomposition Perspective
Identical Eigenmode Transmission System Channel Decomposition Perspective
2010/12/8
In the past few years considerable attention has been given to the design of Multiple-Input Multiple-Output (MIMO) Eigenmode Transmission Systems (EMTS). This paper presents an in-depth analysis of a ...
Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
Multiple M0-brane system arbitrary dimensional supergravity background
2010/12/16
The equations of motion of multiple M0–brane (multiple M-wave or mM0) system in an arbitrary
D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter-action w...
Different deformations of the Poincar´e symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincar&acut...
The boundary value problem for the nonlinear parabolic system is
solved by the finite difference method with nonuniform meshes. The existence
and a priori estemates of the discrete vector solutions ...
Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions
Strongly coupled Global existence Finite time blow-up Upper and lower solutions
2007/12/10
This paper deals with the strongly coupled parabolic system $u_{t}=v^{m}{\Delta}u,v_{t}=u^{n}{\Delta}v,\ (x,t)$ $\in {\Omega}\times (0,T)$ subject to nonlinear boundary conditions ${\partial}u/{\parti...