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A GENERALIZATION OF BIHARI’S LEMMA FOR DISCONTINUOUS FUNCTIONS AND ITS APPLICATION TO THE STABILITY PROBLEM OF DIFFERENTIAL EQUATIONS WITH IMPULSE DISTURBANCE
"... Abstract. This paper presents a generalization of nonlinear integral inequal-ities of the Gronwall–Bellman–Bihari type for discontinuous functions and its application to the investigation of the practical stability of solutions of systems of integro-differential equations with impulse perturbations ..."
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Abstract. This paper presents a generalization of nonlinear integral inequal-ities of the Gronwall–Bellman–Bihari type for discontinuous functions and its application to the investigation of the practical stability of solutions of systems of integro-differential equations with impulse perturbations
Chapter 1 Stabilization and Control over Gaussian Networks
"... Abstract We provide an overview and some recent results on real-time communication and control over Gaussian channels. In particular, the problem of remote stabilization of linear systems driven by Gaussian noise over Gaussian relay channels is considered. Necessary and sufficient conditions for mea ..."
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Abstract We provide an overview and some recent results on real-time communication and control over Gaussian channels. In particular, the problem of remote stabilization of linear systems driven by Gaussian noise over Gaussian relay channels is considered. Necessary and sufficient conditions
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Int. J. Robust Nonlinear Control 2001; 11:1415–1434 (DOI: 10.1002/rnc.667) Generalization of the Nyquist robust stability margin and its application to systems with real affine parametric uncertainties
"... The critical direction theory for analysing the robust stability of uncertain feedback systems is generalized to include the case of non-convex critical value sets, hence making the approach applicable for a much larger class of relevant systems. A redefinition of the critical perturbation radius is ..."
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The critical direction theory for analysing the robust stability of uncertain feedback systems is generalized to include the case of non-convex critical value sets, hence making the approach applicable for a much larger class of relevant systems. A redefinition of the critical perturbation radius
A Sharp Nonlinear Gagliardo–Nirenberg-Type Estimate and Applications to the Regularity of Elliptic Systems
"... We prove the inequality us+2 dx ≤ Cn su2BMO us−22u2 dx s ≥ 2 and to give a sample of possible applications, we show how it can be used to obtain -regularity results for the solutions of a wide class of nonlinear degenerate elliptic systems −div (up−2u) = Gx u u where G grows as up. ..."
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We prove the inequality us+2 dx ≤ Cn su2BMO us−22u2 dx s ≥ 2 and to give a sample of possible applications, we show how it can be used to obtain -regularity results for the solutions of a wide class of nonlinear degenerate elliptic systems −div (up−2u) = Gx u u where G grows as up.
Robust Analysis and Control for a Class of
"... This paper deals with the problem of robust analysis and control of a class of non- linear discrete-time systems with (constant) uncertain parameters. We use poly- nomial Lyapunov functions to derive stability conditions in terms of linear matrix inequalities (LMIs). Although the use of polynomia ..."
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This paper deals with the problem of robust analysis and control of a class of non- linear discrete-time systems with (constant) uncertain parameters. We use poly- nomial Lyapunov functions to derive stability conditions in terms of linear matrix inequalities (LMIs). Although the use
Regularity of generalized sphere valued p-harmonic
, 2003
"... Abstract. We prove (see Theorem 1.3 below) that a generalized harmonic map into a round sphere, i.e. a map u ∈ W 1,1loc (, Sn−1) which solves the system div (ui∇uj − uj∇ui) = 0, i, j = 1,..., n, is smooth as soon as |∇u | ∈ Lq for any q> 1, and the norm of u in BMO is sufficiently small. Here, ..."
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Abstract. We prove (see Theorem 1.3 below) that a generalized harmonic map into a round sphere, i.e. a map u ∈ W 1,1loc (, Sn−1) which solves the system div (ui∇uj − uj∇ui) = 0, i, j = 1,..., n, is smooth as soon as |∇u | ∈ Lq for any q> 1, and the norm of u in BMO is sufficiently small. Here
U-INVARIANT SAMPLING 1 U-Invariant Sampling: Extrapolation and Causal Interpolation from Generalized Samples
"... Abstract—Causal processing of a signal’s samples is crucial in on-line applications such as audio rate conversion, compression, tracking and more. This paper addresses the problems of predict-ing future samples and causally interpolating deterministic sig-nals. We treat a rich variety of sampling me ..."
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Abstract—Causal processing of a signal’s samples is crucial in on-line applications such as audio rate conversion, compression, tracking and more. This paper addresses the problems of predict-ing future samples and causally interpolating deterministic sig-nals. We treat a rich variety of sampling
Feedback Communication Systems: Fundamental Limits and Control-Theoretic Approach
, 2010
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