Results 291 to 300 of about 3,186,083 (334)

Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems

Journal of Optimization Theory and Applications, 2005
The author considers a system described by a neutral functional differential equation \[ \dot{x}(t)-C\dot{x}(t-\tau) = A_0x(t) + A_1x(t-h) + Bu(t) \] with \((A_0+A_1,B)\) a controllable pair. To this system he associates the quadratic cost function \[ J(u,\phi) = \int_0^\infty(x^T(t)Qx(t)+u^T(t)Su(t))dt \] where \(Q>0\), \(S>0\) and \(\phi\in C^1\) is ...
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Exponential stability of laminated beam with neutral delay

Afrika Matematika, 2022
Kassimu Mpungu, T. Apalara
semanticscholar   +1 more source

Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations

Mathematics and Computers in Simulation, 2021
Mo Faheem, Akmal Raza, Arshad Khan
semanticscholar   +1 more source

Positive solutions of neutral delay differential equation

2002
Let \(I:=[t_0,T ...
Péics Hajnalka, Karsai János
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Extension to Neutral Time-Delay Systems

2015
In this chapter, we show that the frequency-sweeping framework proposed in this book is applicable to the time-delay systems of neutral type as well. Compared to the time-delay systems of retarded type, the stability of the neutral systems requires an additional necessary condition: the stability of the neutral operator.
Xu-Guang Li, Silviu-Iulian Niculescu, Arben Çela   +2 more
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A theorem on neutral delay systems

Systems & Control Letters, 1985
The author considers neutral delay equations with finitely many discrete non-commensurable delays. As is well known, the eigenvalues s of such an equation are asymptotically (as Im \(s\to \infty)\) determined by the eigenvalues of the difference part of the equation. These eigenvalues can be shifted only via derivative feedback.
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Stabilization of Neutral Time-Delay Systems

IFAC Proceedings Volumes, 2007
Di Loreto, Michaël, Loiseau, Jean-Jacques   +1 more
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STABILITY FOR DELAY DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

IFAC Proceedings Volumes, 2006
Abstract This paper is devoted to stability analysis of Delay Differential Equations of Neutral type. In particular we present two reformulations of the problem, for which the neutral system is transformed into an ordinary differential equation coupled to an algebraic recursion.
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On a periodic neutral delay Lotka–Volterra system

Nonlinear Analysis: Theory, Methods & Applications, 2000
The author considers the neutral delay Lotka-Volterra system of the form: \[ \dot N_i(t)= N_i(t)\Biggl[ r_i(t)- \sum^n_{j=1} \alpha_{ij}N_j(t- \tau_{ij})- \sum^n_{j=1} \beta_{ij}\dot N_j(t- \sigma_{ij})\Biggr],\quad i=1,\dots, n, \] together with the initial conditions: \[ N_i(t)= \varphi_i(t),\quad \dot N_i(t)= \dot\varphi_i(t),\quad i= 1,\dots, n ...
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Oscillation criteria for a class of even-order neutral delay differential equations

Journal of Applied Mathematics and Computation, 2020
O. Moaaz, Choonkill Park, A. Muhib, O. Bazighifan   +3 more
semanticscholar   +1 more source