... the unforced solutions are uniformly bounded for all time independent of the delays Also, the total solutions for admissible bounded controls are also bounded for all time independent of the delays ... dynamic systems, ” International Journal of Systems Science, vol 14, no 4, pp 367–383, 1983 25 M De la Sen and N Luo, “On the uniform exponential stability of a wide class of linear time- delay systems, ” ... problems of dynamic systems such as time- delay and continuous -time/ digital hybrid systems and in those involving switches among different parameterizations This paper is concerned with the investigation...
... Pao, Dynamics of nonlinear parabolic systemswithtime delays, J Math Anal Appl 198 (1996) 751–779 [13] C.V Pao, Systems of parabolic equations with continuous and discrete delays, J Math Anal ... unstable (in the sense of Lyapunov stability) Moreover, for ÿnite continuous or discrete time delays, including the case r1 = r2 = without time delays, the constant (c1∗ ; c2∗ ) is globally asymptotically ... − fi (u )| ≤ Ki |u − u | for u; u ∈ (i = 1; : : : ; N ): (2.18) As a consequence of the above theorems we have the following conclusion for system (1.1) without timedelay ˜ cˆ be constant vectors...
... finite -time H∞controlfor discrete -time system with constant delays To the best of our knowledge, finite -time H∞control problem forlinear discrete -time systemswith interval time- varying delay has ... Delay- dependent H∞control of linear discretetime systemswith an interval-like time- varying delay, International Journal of Systems Science, 39(2008), 427-436 [7] Meng Q., Shen Y., Finite -time H∞controlfor ... further the results of finite -time stability and H∞controlforlinear discrete -time delaysystemswith norm-bounded disturbances Our main propose is to design a state feedback controller which guarantees...
... function of the packet delayfor realtime traffic and K = {50, 100} users τmax − Δτ = 0.04 s) For K = 100, the packet loss rate for each scheduling function is 8.98%, 33.4%, and 16.97% for the TSPS, the ... it requires more information about the buffers status (i.e., each packet must be time stamped for the TSPS scheduler), its superiority has been shown for real -time and nonreal -time applications ... Non-real time traffic, VBR 0.95 0.9 0.85 0.8 0.75 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Packet delay, τ (s) 0.8 0.9 TSPS PFS b2 PFS Figure 5: Cumulative density function of the packet delayfor nonreal-time...
... T Here we consider the time left-scattered minimum m, then Tk scales with t ≥ t0 , and sup T ∞ For t ∈ T, we define forward jump operator σ t inf{s ∈ T, s > t} 1.3 The forward graininess function ... that |f σ t − f s − f Δ t σ t − s | ≤ |σ t − s| 1.5 for all s ∈ U For any positive ε define auxilliary “slow” time scales Tε {εt τ, t ∈ T} 1.6 with forward jump operator and graininess function σ1 ... Example 1.5 in the next section for any real numbers b, a / 0, and estimate 1.18 with m is true Note that for continuous time scale we have μ adiabatic invariant for Lorentz’s pendulum 13 : u2...
... Kneser-type solution for the noted above scalar homogeneous equation of the second order Note one of our results obtained for the system (1.3) with constant coefficients and delays (p(t) ≡ p, q(t) ... necessary and sufficient for Kt0 = ∅ for any t0 ∈ R+ Proof Sufficiency By (5.7) it is obvious that condition (5.2) is satisfied Therefore sufficiency follows from Corollary 5.4 Necessity Let for any t0 ∈ R+ ... W(t) = for t ∈ [0,+∞), then the Sturm separation theorem (between two zeros of each nontrivial solution there is one and only one zero of other solution) is fulfilled for the second-order delay...
... an improved performance Therefore, in this paper, we investigate the memory controller design for the exponential stabilization of linear singular timedelaysystemswithcontroldelay To the best ... , Finite -time controlwithH∞ constraints of linear time- invariant and time- varying systems, J Contr Theory Appl., 2013, 11(2), 165-172 .systems Facta Universitatis, Series: Automatic Control and ... Finite -time H∞controlforlinear continuous system with normbounded disturbance Commun Nonlinear Sci Numer Simulat.,14(2009), 1043-1049 [13] S S., Hung, T T Lee, Memoryless H∞ controller for singular...
... near-optimal performance for the MIMO systemswith a small number of antennas In the systemswith a large number of antennas, we can achieve even higher complexity reduction without significant performance ... diversity In Figures and 4, the performance of MIMO systemswith larger number of antennas are compared Almost the same relative performance tendency is obtained The performance of the ZF-OSIC receiver ... + 1)2 Therefore, the total flop count of optimal selection is FTot−Opt ≈ FOpt−Order + FCGS Page of Simulation results Monte Carlo simulations are performed for a wireless system with multiple...
... Lc = τL−1 /Tc + with τL−1 being the maximum path delay, and h(l) = ρi for l = τi /Tc and zero for all other l values Assuming that the receiver is fully synchronized and time delays are known, ... Receiver performance over different channel models, for CP = and channel estimation with pilot blocks when the channel estimation is performed with the IBI cancellation, the reduction in IBI for CP ... possible for the performance of the proposed receiver for different channels In addition, the AWGN or the matched filter bound and the BER performance of the proposed receiver for the CM1 channel with...
... to deal with problems 1.1 are used in recent years by several authors; see 4, and the references therein for some further information For some recent developments of the secondorder systems 1.1 ... the form Lu, u Φu −ϕ u , 1.13 2π where ϕ u G u, t dt We make the following assumptions G1 There exists ≤ α < such that ∇G u, t 0, 2π , u ∈ R G2 ∇G u, t O |u|α O uniformly for t ∈ o |u| uniformly ... functional 1.16 can be clearly computed, for example, see 8, 16 or 17 for the bounded nonlinearity Hence at least one critical point of Φ u can be obtained But for the use of Morse theory, more regularity...
... Decision and Control, Nevada, December 2002, pp 3736–3741 , Robust stabilizing control methods for singularly perturbed discrete bilinear systems, Pro[5] ceedings of the 4th Asian Control Conference, ... problems on time scales, Advances in Difference Equations 2004 (2004), no 2, 93–109 [4] B S Kim, Y J Kim, and M T Lim, LQG controlfor nonstandard singularly perturbed discrete time systems, Proceedings ... this paper, we extended the perturbation method developed in [15], for a linear timevariant classical digital control system with several widely different coefficients We considered a class of boundary...
... Anti-Lyapunov method forsystems of discrete equations, Nonlinear Analysis 57 (2004), [9] no 7-8, 1043–1057 [10] D Ya Khusainov and G V Shuklin, Linear autonomous time- delay system with permutation ... containing only one delay are often called systemswith pure delay The main goal of the present paper is to extend the notion of the delayed exponential of a matrix relative to discrete delayed equations ... analogue of formula (1.6) for homogeneous and nonhomogeneous problems (1.1), (1.2) with pure delay Discrete matrix delayed exponential Now we give the notion of the so-called discrete matrix delayed...
... REFERENCES [1] J M´guez, M F Bugallo, and P M Djuri´ , “A new class of parı c ticle filters for random dynamic systemswith unknown statistics,” EURASIP Journal on Applied Signal Processing, vol 2004, ... was born in Ferrol, Galiı ı cia, Spain, in 1974 He obtained the Licenciado en Informatica (M.S.) and Doctor en Informatica (Ph.D.) degrees from Universidade da Coru˜ a, Spain, in 1997 and 2000, ... 2000 she was with the Departa´ mento de Electronica y Sistemas at the Universidade da Coru˜ a, Spain, where she n worked in interference cancellation applied to multiuser communication systems In...
... difference with the experimental MSE Figure plots the experimental MSE curves versus SNR for noises with identical average energy of eo = Lc − L+1 = 28 and different covariance matrices For each ... communication systems, ” IEEE Transactions on Communications, vol 44, no 8, pp 1009–1020, 1996 [9] H Liu and G Xu, “Subspace method for signature waveform estimation in synchronous CDMA systems, ” ... 209– 215, 2002 [17] N Yuen and B Friedlander, “Asymptotic performance analysis for signature waveform estimation in synchronous CDMA systems, ” IEEE Transactions on Signal Processing, vol 46, no...
... characteristics (time and frequency selectivity), and terminal resources For example, it has been recently proposed, in [16] for the downlink, and in [17] for the uplink, to perform a two-dimensional ... systems using distributed transmission/directional reception (DTDR),” U.S Patent 5345599, Stanford University, Stanford, Calif, USA, 1994 [22] G J Foschini, “Layered space -time architecture for ... matrix implementing a time reversal It is easily checked that the transmitted block at time instant j + from one antenna is the time- reversed conjugate of the transmitted symbol at time instant j from...
... INTRODUCTION AND REVIEW 1.2 SwitchedLinearSystemsSwitchedsystemswith all subsystems described by linear differential/difference equations are called switchedlinear systems, and have attracted ... dwelltime required for stability of switchedlinearsystems } : ∥eAi t ∥ ≤ αe−βt , ∀t ≥ { for continuous -time subsystems [38, 40] and let Ti := inf α>0,0
... Convergence performance of Algorithm 2.1 for SISO-IC with weak interference channel gains Convergence performance of Algorithm 2.1 for SISO-IC with strong interference ... ID and EH regions for characterizing O-E trade-offs with versus without Rx energy consumption in the case without CSIT 3.14 O-E region with versus without Rx energy ... more easily eavesdrop the information for IRs Therefore, in addition to achieving efficient WPT to ERs, a secure information Chapter Introduction Information Receiver Information Receiver Energy...
... Modal feedforward controller in handling disturbances for such distributed systems (Linear tubular reactor with recycle and linear heat exchanger), in conjunction with Modal feedback controller, ... feedforward controller for the linear distributed parameter system with and without recycles The Modal feedforward controller has been developed based on the lines of Modal feedback controller ... 3.8.1: Unforced and forced concentration profiles for a linear tubular reactor by orthogonal collocation 58 Figure 3.9.1: Forced concentration profiles for a linear tubular reactor with recycle...
... (a) Control effort from Gramian intergral u N 0 100 200 300 400 500 600 Iteration number 700 800 (b) Control effort from control law (2.9) with total time of five second Figure 2.9: Control effort ... leader (square) viii 36 2.13 Vertical line formation Heading control effort (solid line), X position control effort (dashed line), Y position control effort (dotted line) Initial position (circle), ... leader (square) 37 2.14 Triangular shape formation Heading control effort (solid line), X position control effort (dashed line), Y position control effort (dotted line) Initial position (circle),...
... This is a natural assumption for the reaction-diffusion systems (without delay) , and has been used by many authors; see e.g [5, 10, 11, 30] However, in presence of delays, things become more delicate ... solution with respect to the X-norm of the initial datum (compare with [6, 7]) One would need to use the sup-norm of B, which, however, Vol 7, 2007 Reaction-diffusion problems withtime delays ... (2.4) Vol 7, 2007 Reaction-diffusion problems withtime delays 655 This implies the existence of E ∗ – an exponential attractor for ( n , X ) – together with the estimate (see [35, Theorem 1]) ln...