Robust FiniteTime Stabilization of Linear Systems with Multiple Delays in State and Control

Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx

... Annals of Mathematics, 160 (2004), 1141–1182 Isomonodromy transformations of linear systems of diﬀerence equations By Alexei Borodin Abstract We introduce and study isomonodromy transformations of ... solution of an associated isomonodromy problem for a linear system of diﬀerential equations with rational coeﬃcients The goal of this paper is to develop a general theory of isomonodromy transformations ... n Then there exists a unique formal ˆ solution of (1.1) of the form (1.2) with Y0 = I ISOMONODROMY TRANSFORMATIONS 1149 Proof As in the proof of Proposition 1.1, we may assume that n = Comparing...

QUASILINEAR CONTROL: Performance Analysis and Design of Feedback Systems with Nonlinear Sensors and Actuators pot

... the subtitle Performance Analysis and Design of Feedback Systems with Nonlinear Actuators and Sensors In view of the above, one may ask a question: If all feedback systems include nonlinear instrumentation, ... Quasilinear Control Performance Analysis and Design of Feedback Systems with Nonlinear Sensors and Actuators ShiNung Ching Massachusetts Institute of Technology Yongsoon ... linearization of the closed loop system of Figure 2.4 First, we address the case of nonlinear actuators and sensors separately and then the case of nonlinearities in both actuators and sensors simultaneously...

efstathiou k. metamorphoses of hamiltonian systems with symmetries

... Konstantinos Efstathiou Metamorphoses of Hamiltonian Systems with Symmetries 123 Author Konstantinos Efstathiou MREID Universit´ du Littoral e 189A av Maurice ... two degree of freedom systems with three3 fold symmetry are described by the 2-DOF H´non-Heiles Hamiltonian [70] e Therefore, we can consider our Hamiltonian as a natural 3-DOF analogue of the latter ... study of the family of systems with Hamiltonian (1.10) near the limit → Finally in §2.6 we make some remarks about the bifurcations of the relative equilibria of this family We detail the action of...

channel adaptive technologies and cross layer designs for wireless systems with multiple antennas

... PUBLICATION Channel- Adaptive Technologies and Cross- Layer Designs for Wireless Systems with Multiple Antennas Channel- Adaptive Technologies and Cross- Layer Designs for Wireless Systems with Multiple Antennas ... with respect to the target channel Channel -Adaptive Technologies and Cross- Layer Designs for Wireless Systems with Multiple Antennas: Theory and Applications By V K N Lau and Y.-K R Kwok ISBN 0-471-64865-5 ... Channel- Adaptive Technologies and Cross- Layer Designs for Wireless Systems with Multiple Antennas Theory and Applications Vincent K N Lau The Hong Kong University of Science and Technology...

Báo cáo hóa học: " Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales" pdf

... a Hopf bifurcation in the layer problem It might be tempting to proceed by determining the nature of the Hopf bifurcation in the layer problem and then asserting that the Hopf bifurcation in the ... traps in determining the criticality of a Hopf bifurcation when we try to apply GSPT; the criticality of a Hopf bifurcation in the layer problem may not match that of the corresponding Hopf bifurcation ... problems with the use of GSPT in analysing models with Hopf bifurcations, and in particular show that the criticality of a Hopf bifurcation in a full slow-fast system may not match the criticality of...

Báo cáo hóa học: "Integro-differential inequality and stability of BAM FCNNs with time delays in the leakage terms and distributed delays" doc

... Integro-differential inequality and stability of BAM FCNNs with time delays in the leakage terms and distributed delays Journal of Inequalities and Applications 2011 2011:43 Page 18 of 18 ... simulation is shown in Figure and Conclusions In this paper, a class of impulsive BAM FCNNs with time delays in the leakage terms and distributed delays has been formulated and investigated Some ... on the stability of neural networks To the best of our knowledge, few authors have considered impulsive BAM FCNNs with time delays in the leakage terms and distributed delays Motivated by the...

Báo cáo hóa học: " Research Article About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory" pot

... domain Caputo Fractional Linear Dynamic Systems with Point Constant Delays and the Contraction Mapping Theorem Consider the linear functional Caputo fractional dynamic system of order α with r delays: ... with the investigation of ﬁxed points in Caputo linear fractional dynamic systems of real order α which involved delayed dynamics subject to a ﬁnite set of bounded point delays which can be of ... independent of the sizes of the delays and the stability properties of linear time- invariant fractional dynamic diﬀerential systems subject to point delays may be characterized with sets of precise...

Báo cáo sinh học: " Research Article Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers" potx

... system was integer and has no interval uncertainty To the best of our knowledge, stabilization of fractional-order open-loop systems with interval uncertainties via fractional-order controllers ... uncertain fractional-order nonlinear systems with interval Jacobian matrix Robust Stability of FO-LTI Interval System From previous section, for the robust stability check of the uncertain fractional ... control of fractional-order interval nonlinear systems Finally, numerical simulations are also provided to show eﬀectiveness of proposed controller in order to achieve robust stabilization of unstable...

Báo cáo hóa học: " Research Article Nonexpansive Matrices with Applications to Solutions of Linear Systems by Fixed Point Iterations Teck-Cheong Lim" docx

... approaches to ∞ as k → ∞ This completes the proof We now consider applications of preceding theorems to approximation of solution of a linear system Ax b, where A ∈ Mn and b a given vector in Cn ... necessity part of a If is an eigenvalue of A and x is a corresponding eigenvector, then Ak x x / for every k and of course Bk x fails to converge to If λ is an eigenvalue of A with |λ| > and ... converges to a solution vector z of Ax b with rate o ζk , 30 − μ λ : λ an eigenvalue of B, λ / < ζ < 31 yk − z where ζ is any number satisfying max μ 10 If Ax Fixed Point Theory and Applications...

Báo cáo hóa học: " Research Article Stabilization of Discrete-Time Control Systems with Multiple State Delays" doc

... exponential stabilizability of discrete-time systems with time-delayed states Finally, as an application, we consider the global stabilization of the nonlinear control systems Preliminaries In this ... observability, controllability, and stabilization of linear elastodynamic systems, ” SIAM Journal on Control and Optimization, vol 37, no 2, pp 521–542, 1999 10 E K Boukas, State feedback stabilization of ... theorem for discrete-time systems, ” IEEE e Transactions on Automatic Control, vol 41, no 6, pp 903–907, 1996 12 E N Chukwu, Stability and Time-Optimal Control of Hereditary Systems, vol 188 of Mathematics...

Báo cáo hoa học: " Stability of neutral-type descriptor systems with multiple time-varying delays" pptx

... Stability of neutral-type descriptor systems with multiple time-varying delays Yuxia Zhao∗ and Yuechao Ma College of Science, Yanshan University, Qinhuangdao ... This article deals with the problem of stability of descriptor neutral systems with multiple delays Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion ... In this article, the problem of stability of neutral type descriptor systems with time-varying delays is researched Using free-weight matrix method in combination with Lyapunov–Krasovskii functional...

Báo cáo hóa học: " Research Article Analysis of Coded FHSS Systems with Multiple Access Interference over Generalized Fading Channels" ppt

... (33) over the fading amplitudes and the number of interfering users, the PEP of coded FHSS systems over Rician fading channels with imperfect CSI is given by (24) with Λ(k) being replaced with ... performance of a coded FHSS system over Nakagami fading with perfect CSI for diﬀerent number of users and hop lengths of m = and m = 64 Comparing the sets of curves corresponding to the cases of m = ... impact of interference on the performance of the system Figure shows the SINR required for the coded FHSS system to achieve Pb = 10−5 over Rayleigh fading versus the number of users K with perfect...

Stability analysis and controller design of linear systems with random parametric uncertaintie

... thesis studies the stability analysis and distribution control of systems with random parametric uncertainties Parametric uncertainties are common in natural and man-made systems due to inaccurate ... Chapter Stability Analysis of Systems with A Single Uncertain Parameter Chapter Stability Analysis of Systems with A Single Uncertain Parameter In this thesis, we study the stability analysis and controller ... is important to analyze the stability and design controllers for systems with parametric uncertainties 1.1.1 Robust Stability and Control Theory Systems with bounded uncertainties have been studied...

Approaches to the design of model predictive controller for constrained linear systems with bounded disturbances

... Based on the review given in the previous section, a picture of the recent development of MPC for constrained linear systems with additive disturbances, together with its comparison with the Linear ... by (1.6) has to be reformulated to take into account: (i) the effect of w(t) and (ii) the interpretations of constraints (1.6d) and (1.6e) in the presence of w(t) For the control of system (1.10), ... priori in the parametrization, one method of designing this feedback gain is introduced to control the asymptotic behavior of the closed-loop system The underlying idea of the method is that the support...

Robust FiniteTime Stabilization of Linear Systems with Multiple Delays in State and Control

... feedback controllers in stabilization problem in Lyapunov sence of linear control state- delay systems without control delays In this paper, we propose a new design tool to solve the ﬁnite-time stabilization ... have studied the problem of robustly ﬁnite-time stabilization for a class of linear systems with multiple delays in state and control Based on a Lyapunov functional method and LMI technique, new ... class of time-varying nonlinear systems Automatica, 48(2012), 499-504 [5] F Amato, R Ambrosino, C Cosentino, G.De Tommasi, Finite-time stabilization of impulsive dynamical linear systems Nonlinear...

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