Improved Delay-Range-Dependent Stability Condition for T–S Fuzzy Systems with Variable Delays Using New Extended Affine Wirtinger Inequality
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DOI: 10.1007/s40815-019-00795-8
Abstract: In this paper, a new integral inequality lemma along with an appropriate Lyapunov–Krasovskii functional (LKF) is proposed for fuzzy time-delay system to enhance the delay upper bound estimate. The proposed lemma is referred to hereafter… read more here.
Keywords: extended affine; delay; inequality; stability condition ... See more keywords
Integrable representations for toroidal extended affine Lie algebras
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DOI: 10.1016/j.jalgebra.2018.11.003
Abstract: Let $\fg$ be any untwisted affine Kac-Moody algebra, $\mu$ any fixed complex number, and $\wt\fg(\mu)$ the corresponding toroidal extended affine Lie algebra of nullity two. For any $k$-tuple $\bm{\lambda}=({\lambda}_1, \cdots, {\lambda}_k)$ of weights of $\fg$,… read more here.
Keywords: extended affine; lie algebra; affine lie; toroidal extended ... See more keywords
Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori
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DOI: 10.1016/j.jalgebra.2020.11.010
Abstract: Abstract Let sl N ˆ ( C q ) be the core of extended affine Lie algebra of type A N − 1 coordinated by the rational quantum 2-torus C q . In this paper,… read more here.
Keywords: algebra; affine lie; lie; coordinated rational ... See more keywords
Extended affine Lie superalgebras and their affinizations
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DOI: 10.1080/00927872.2018.1448840
Abstract: Abstract Extended affine Lie superalgebras are super versions of the defining axioms of extended affine Lie algebras or more generally invariant affine reflection algebras. This class includes finite dimensional basic classical simple Lie superalgebras and… read more here.
Keywords: lie superalgebras; affine lie; lie; superalgebras affinizations ... See more keywords
Groups of Extended Affine Lie Type
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DOI: 10.4171/prims/55-3-5
Abstract: We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame… read more here.
Keywords: affine lie; lie; extended affine; groups extended ... See more keywords