Chiral orbifold models are defined as gauge field theories with a finite gauge group Γ. We start with a conformal current algebra A associated with a connected compact Lie group G and a negative definite integral invariant bilinear form on its Lie algebra. Any finite group Γ of inner automorphisms or A (in particular, any finite subgroup of G) gives rise to a gauge theory with a chiral subalgeb...

1 UNINOVA and DEE, Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa, Campus da FCT da UNL, Quinta da Torre, 2829-516 Caparica, Portugal 2 INESC ID, Rua Alves Redol, 9, 2o, 1000-029 Lisboa, Portugal 3 L2F INESC ID, Rua Alves Redol, 9, 2o, 1000-029 Lisboa, Portugal 4 Academia Militar, Rua Gomes Freire, 1150-175 Lisboa, Portugal Abstract – In this paper the modeling of Fractional ...

Chiral orbifold models are deened as gauge eld theories with a nite gauge group ?. We start with a conformal current algebra A associated with a connected compact Lie group G and a negative deenite integral invariant bilinear form on its Lie algebra. Any nite group ? of inner automorphisms or A (in particular, any nite subgroup of G) gives rise to a gauge theory with a chiral subalgebra A ? A o...

An algebra is a vector space (over C) with a multiplication such that A is a ring with identity, i.e. there is a map A × A → A, (a, b) 7→ ab, which is bilinear and satisfies the associative and distributive laws. The following are examples of algebras: (1) The group algebra of a group G is the vector space CG with basis G and with multiplication forced by the multiplication in G (and the biline...

In this paper, we are concerned with a modified complex short pulse (mCSP) equation of defocusing type. Firstly, show that the mCSP is linked to coupled dispersionless type via hodograph transformation, thus, its Lax pair can be deduced. Then bilinearization formulated dependent variable and transformations. One- two-dark soliton solutions found by Hirota’s bilinear method their properties anal...

The bilinear Generalized predictive controller is modified to account for unmodelled plant uncertainties and bounded disturbances. First, a generalized predictive control law is derived by means of minimizing a quadratic cost function and then modified by introducing an estimate of the modeling error as a feedback. The robustness results are derived by neither requiring a prior knowledge of the...

Chiral orbifold models are defined as gauge field theories with a finite gauge group Γ. We start with a conformal current algebra A associated with a connected compact Lie group G and a negative definite integral invariant bilinear form on its Lie algebra. Any finite group Γ of inner automorphisms or A (in particular, any finite subgroup of G) gives rise to a gauge theory with a chiral subalgeb...

The paper investigates the optimal control problem for a stochastic linear di®erential system, driven by a persistent disturbance generated by a nonlinear stochastic exogenous system. The assumption of incomplete information has been assumed, that is neither the state of the system, nor the state of the exosystem are directly measurable. The standard quadratic cost functional has been considere...

Polynomials in differentiation operators are considered. Joint covariance with respect to Darboux transformations of a pair of such polynomials (Lax pair) as a function of one-field is studied. Methodically, the transforms of the coefficients are equalized to Frechèt differential (first term of the Taylor series on prolonged space) to establish the operator forms. In the commutative (Abelian) c...

A fundamental aspect of signal processing is filtering. Filtering involves the manipulation of the spectrum of a signal by passing or blocking certain portions of the spectrum, depending on the frequency of those portions. Discrete time IIR filter design can be a very complex procedure in discrete time domain. Therefore, transformations have been developed to use well known design methods in co...