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This paper presents a methodology and design of a model-free-based proportional-integral reduced-order observer for a class of nondifferentially flat systems. ... The problem is tackled from a differential algebra point of view, that is, the state observer for nondifferentially flat systems is based on algebraic differential polynomials of the output. ... The model-free-based PI observer gains were set to k i = 15 and k p = 8. ...doi:10.2478/amcs-2019-0048 fatcat:dhl6pkq7izd2fiygvlosygcnca
We buid up a model for the relative free G-graded algebra and we obtain, as an application, the "factoring" property for the T_G-ideals of block triangular matrices with entries from the finite dimensional ... Grassmann algebra E for some particular Z_2-grading. ... In this paper we consider a PI G-graded algebra A and we construct a model for its relatively free G-graded algebra. ...arXiv:1211.6310v2 fatcat:nntwvbdtyfgkddj3typq4k7fxy
We establish that the problem of computing a gcd-free basis for a set of polynomials is in AfC~for any arbitrary field F. ... This leads to a proof that arithmetic for a simple algebraic extension is in N@. ... Acknowledgments The authors thank Gilles Viilard for useful discussions. The content of this paper has been studied during the PhD thesis of the first author, which was bound to LMC-IMAG, Grenoble. ...doi:10.1145/266670.266682 dblp:conf/cap/GautierR97 fatcat:7v6fdjfwafcfzbu7hr56v773ci
We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. ... Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments. ... model-free control. ...doi:10.3182/20090706-3-fr-2004.00256 fatcat:tn6pji7c2nf77ly3iqiy4x53za
In this way, free field resolutions and screening operators are constructed for deformed W -algebras. ... The author proves that the free algebra of the variety of com- mutative alternative algebras M (of characteristic 3) with n > 2 free generators is associator nilpotent of index n — 1 and associa- tor solvable ...
We construct a Gaudin type lattice model as the Wess-Zumino-Witten model on elliptic curves at the critical level. Bethe eigenvectors are obtained by the bosonisation technique. ... is valid not only for the WZW model but also for the free field theories which we use later. ... For Example 2.1, the central extensionĝ Pi S is naturally isomorphic to the space ofĝ-valued functions on S,ĝ S =ĝ ⊗ C O S , whereĝ is the affine Lie algebra associated to g. ...doi:10.1088/0305-4470/34/11/330 fatcat:qslvghfuyja55deusfbmau5l7m
This paper presents a thorough discussion of the free field repre- sentation for a Wess-Zumino-Witten model (WZWM) [E. Witten, Comm. Math. ... In fact all main ideas concerning the construction of the free field representa- tions for any coset model were presented in Subsection 4.7 of our papers cited earlier. ...
Journal of Algebra
TO THE MEMORY OF CALVIN C. ELGOT Matrix theories are algebraic theories (in the sense of Lawvere) in which each morphism p: [m] + [n] is an m x n matrix of morphisms pij : [ 1 ] + [ 11. ... theories are based on algebraic sets of formal power series. ... Reutenauer for helpful comments. ...doi:10.1016/0021-8693(84)90035-8 fatcat:h6xlk26gibgdbehkxd7rqrkdkm
In the present paper, I examine these theorems from an operator algebraic point view in order to apply these theorems to algebraic quantum field theory. ... Then I point out that not all observational propositions in local algebras can be taken as definite, in addition to nonrelativistic quantum mechanics. ... Acknowledgements The author would like to thank a referee for valuable comments on an earlier version of this paper. ...doi:10.4288/jafpos1956.15.25 fatcat:gzscfb3isncrjo3dl23jjcrxge
In the case when K is finitely generated over k we then see that for σ a k-algebra automorphism of K and δ a k-linear derivation of K, K(x;σ) having a free subalgebra on two generators is equivalent to ... Moreover, if we assume that k is uncountable, without any restrictions on the characteristic of k, then D contains the k-group algebra of the free group of rank two. ... For free algebras, however, the results appear to be harder to obtain. ...arXiv:1507.08811v1 fatcat:4avyqrvpwfdtxfyu7hv75f7xlq
In this paper we investigate the polynomial identities of the relatively free algebras of finite rank of the variety V defined by the Grassmann envelope of B. ... We specialize our studies for the algebra UT_2(G) and UT_2(G^(k)), which can be seen as the Grassmann envelope and k-th Grassmann envelope, respectively, of the superalgebra UT_2(K[u]), where u^2=1. ... We give a model for the relatively free algebra of the variety generated by A as a subalgebra of matrices over the relatively free algebra of R. ...arXiv:2006.14541v1 fatcat:oxyckjyoczh2joxzvxg4apsfoy
We show how to calculate the operator algebra and the operator Lie algebra of a stochastic labelled-graph grammar. ... More specifically, we carry out a generic calculation of the product (and therefore the commutator) of time-evolution operators for any two labelled-graph grammar rewrite rules, where the operator corresponding ... Acknowledgements The author wishes to acknowledge the hospitality of the Sainsbury Laboratory Cambridge University, the Center for Nonlinear Studies of the Los Alamos National Laboratory, and the Kavli ...arXiv:1909.04118v1 fatcat:da5zhocwn5hohcqorxraglazai
Define operators Pi” by Pi“ = FY ‘R’"(1). me can obtain the following decomposition of the R-matrix: R(x) = 3, p,(x)P(“. ... ; Hopf algebra; Quantization of Lie bi-algebra; Quan- tum double; Representation theory; Representations for generic g; Representations for q being a root of unity; Hamiltonian system; Classical symmetric ...
Journal of Algebra
In this paper we study the Gelfand-Kirillov dimension of the relatively free algebras of verbally prime and related algebras. ... We compute the GK dimensions of several algebras and thus obtain a new proof of the fact that the algebras M 1,1 (E) and E ⊗ E are not PI equivalent in characteristic p > 2. ... Berele for his useful remarks and suggestions. Thanks are due to the referee whose valuable comments improved the paper. ...doi:10.1016/j.jalgebra.2006.04.009 fatcat:d22bwmjqvzav7no7ziec4dt4vu
the supergauge algebra appearing in this model determine the interaction uniquely. ... In a previous paper the electromagnetic problem of the Neveu-Schwarz model was considered on the basis of the supergauge algebra and the photon gauge substitution. ... One of the authors (T.S.) is partly indebted to the Yukawa Foundation for making his Associateship at the ICTP possible. ...doi:10.1143/ptp.51.1172 fatcat:gxdke2kbtvfx5j4rr2vx2btop4
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