Results 21 to 30 of about 200 (141)
Improved Stability Criteria for Markovian Jump Systems with Time-Varying Delays
Abstract and Applied Analysis, 2014 The delay-dependent stochastic stability problem of Markovian jump systems with time-varying delays is investigated in this paper. Though the Lyapunov-Krasovskii functional is general and simple, less conservative results are derived by using the convex ...
Yu-cai Ding, Hui Liu, Baodan Tian
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IEEE Access, 2018 This paper studies boundary control for exponential stabilization for a distributed parameter system, modeled by semi-linear parabolic partial integro-differential equations (PIDEs) in a 1-D spatial domain.
Chengdong Yang +5 more
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An optimal Poincaré-Wirtinger inequality in Gauss space [PDF]
Mathematical Research Letters, 2013 Let $ $ be a smooth, convex, unbounded domain of $\R^N$. Denote by $ _1( )$ the first nontrivial Neumann eigenvalue of the Hermite operator in $ $; we prove that $ _1( ) \ge 1$. The result is sharp since equality sign is achieved when $ $ is a $N$-dimensional strip.
BRANDOLINI, BARBARA +3 more
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Regularity for energy-minimizing area-preserving deformations [PDF]
, 2014 In this paper we establish the square integrability of the nonnegative hydrostatic pressure p, that emerges in the minimization probleminfK∫Ω|∇v|2,Ω⊂R2as the Lagrange multiplier corresponding to the incompressibility constraint det∇v=1 a.e. in Ω.
A.L. Karakhanyan +10 more
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Viscous motion in an oceanic circulation model [PDF]
, 1981 The barotropic motion of a viscous fluid in a laboratory simulation of ocean circulation may be modelled by Beards ley's vorticity equations. It is established here that these equations have unique smooth solutions which depend continuously on initial ...
Bennett, A.F., Kloeden, P.E.
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Heat conduction in fine scale mixtures with interfacial contact resistance [PDF]
, 1998 Heat conduction in a fine scale mixture of two conductors is examined in the presence of a contact resistance between phases. The problem is studied rigorously in the context of periodic homogenization.
Lipton, Robert
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ON SOME FURTHER WIRTINGER-BEESACK INTEGRAL INEQUALITIES [PDF]
Demonstratio Mathematica, 1999 Similarly as in \textit{B. Florkiewicz} and \textit{K. Wojteczek} [Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 5, 947-958 (1999)], the authors prove that the second-order Hardy-type inequality \[ \int_I [h(x)]^2 s(x) dx \leq \int_I [h''(x)]^2 r(x) dx \] holds for all functions \(h\) from a certain class \(H\subset AC^1(I)\). Here \(I = (\alpha,\beta)\
Florkiewicz, Bronisław +1 more
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Wirtinger inequality and nonlinear differential systems [PDF]
Archivum Mathematicum, 2013 The author investigates the first order system \[ u'=A(t)u+B(t)\varphi _{1/\alpha }(v),\quad v'=-C(t)\varphi _{\alpha }(u)-D(t)v, \tag{1} \] where \(A,B,C,\) and \(D\) are continuous real-valued functions on a given interval and \(B(t)>0\). The Picone type identity is established for (1) and various other qualitative results (as Wirtinger-type ...
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E7, Wirtinger inequalities, Cayley 4-form, and homotopy [PDF]
Duke Mathematical Journal, 2009 We study optimal curvature-free inequalities of the type discovered by C. Loewner and M. Gromov, using a generalisation of the Wirtinger inequality for the comass. Using a model for the classifying space BS^3 built inductively out of BS^1, we prove that the symmetric metrics of certain two-point homogeneous manifolds turn out not to be the systolically
Bangert, Victor +3 more
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IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.The main contribution of this paper is the consideration of information throughout the entire sampling period. By proposing a sampling point‐dependent Lyapunov functional, a new dissipative criterion and a sampled‐data control strategy are derived through the application of free‐matrix‐based integral inequalities.
Du Xiong +3 more
wiley +1 more source