... control of fractional systems can be found, e.g., in [12-14] Authors’ contributions All authors, together, carried out the studies of steering linear fractional control systems, edited, read ... shown, e.g., in [4] that for (3.1) and (3.2) a solution exists 3.1 Linear control system in the form of a-integrator Consider a linear fractional differential equation (C Dαs + z)(t) = v(t), t ... 1)(t) = i=n i=n (t − ts )(i−n)α(3:27) ((i − n)α + 1) 3.3 Linear control system in the general state space form Consider a controllable linear fractional control system of the form : (C Dαs + x)(t)...
... suggested for investigating the asymptotic stability of neutral nonlinear systems The investigation of nonlinear neutral delayed systems with two time dependent bounded delays in to determine the ... function v x xT Hx has been used to investigate the stability of systems 1.1 in see as well The stability of linear neutral systems of type 1.1 , but with different delays h1 and h2 , is studied ... neutral-type nonlinear delayed systems: an LMI approach,” Journal of Zhejiang University A, vol 7, supplement 2, pp 237–244, 2006 10 K Gu, V L Kharitonov, and J Chen, Stability of Time-Delay Systems, ...
... the secondorder systems 1.1 , see In this paper, we use this kind of condition to consider the existence of periodic solutions of first-order linear Hamiltonian system with a nonlinear perturbation ... differenziali ordinarie quasilineari condizioni lineari,” Annali di Matematica Pura ed Applicata Serie Quarta, vol 57, pp 49–61, 1962 12 I T Kiguradze, “Boundary value problems for systems of ordinary ... Hamiltonian systems, ” Communications on Pure and Applied Mathematics, vol 33, no 5, pp 609–633, 1980 19 Y Long and X J Xu, “Periodic solutions for a class of nonautonomous Hamiltonian systems, ” Nonlinear...
... Z You, and E Song, “An efficient algorithm for optimal linear estimation fusion in distributed multisensory systems, ” IEEE Transactions on Systems, Man, and Cybernetics, vol 36, no 5, pp 1000–1009, ... Aerospace and Electronic Systems, vol 26, no 6, pp 1011–1021, 1990 [13] W H Kwon, P S Kim, and P Park, “A receding horizon Kalman FIR filter for linear continuous-time systems, ” IEEE [14] [15] ... xt(N) are computed and then linearly fused at the second stage based on the FF First step (Calculation of LRHKFs) According to (1) and (2), we have N local dynamic subsystems with the state vector...
... 3, pp 295–302, 1985 B Aulbach and S Hilger, Linear dynamic processes with inhomogeneous time scale,” in Nonlinear Dynamics and Quantum Dynamical Systems (Gaussig, 1990), vol 59 of Mathematical ... Mathematics, vol 18, no 1-2, pp 18–56, 1990 12 G Hovhannisyan, “Asymptotic stability for 2×2 linear dynamic systems on time scales,” International Journal of Difference Equations, vol 2, no 1, pp 105–121, ... Physics, vol 37, no 3, pp 1070–1081, 1979 O Costin and R Costin, “Rigorous WKB for finite-order linear recurrence relations with smooth coefficients,” SIAM Journal on Mathematical Analysis, vol...
... a linear second order differential equation with retarding argument,” Differentsial’nye Uravneniya, vol 31, pp 622–629, 1995 [7] A L Skubaˇ evski˘, “The oscillatory solutions of a second order linear ... solutions of a linear differential equation with retarded argument,” Differentsial’nye Uravneniya, vol 10, pp 426–430, 571, 1974 [9] N V Azbelev and A Domoshnitsky, “On the question of linear differential ... Applications References [1] T A Chanturiya, “Specific conditions for the oscillation of solutions of linear differential equations with retarded argument,” Ukrainski˘ Matematicheski˘ Zhurnal, vol 38,...
... 1041–1057 , Anti-Lyapunov method for systems 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 ... investigation goes back to [10] dealing with the linear system of differential equations with constant coefficients and constant delay One of the systems considered has the form ˙ x(t) = Bx(t − τ), ... problems for systems of the form (1.3), since the usually used method of steps (being nevertheless hidden in the notion of delayed exponential) gives unwieldy formulas Discrete systems of the...
... and oscillations for systems with sector restricted nonlinearities or linear quadratic stabilization are considered, the associated linear discrete-time periodic Hamiltonian systems have to be ... Hamiltonian systems are a subset of the symplectic systems; if we refer to [26] where systems (1.5) with real coefficients are called canonical, we may say that in the discrete-time case canonical systems ... symplectic systems and Hamiltonian systems (with complex coefficients) are a subset of the J-unitary systems On the contrary, symplectic (or J-unitary) and canonical (or Hamiltonian) systems coincide...
... and D Aeyels, Stabilization of positive linearsystemsSystems and Control Letters 44 (2001) 259–271 16 Ph H A Ngoc and N K Son, Stability radii of linearsystems under multiperturbations, Numerical ... radii of linear discrete-time systems and symplectic pencils, Inter J Nonlinear and Robust Control, (1991) 79–97 11 D Hinrichsen and N K Son, Stability radii of positive discrete-time systems ... extended to linear positive systems in infinitedimentional spaces [4, 19],to systems subjected to perturbations of more general forms [11, 20] and, more recently, to positive retarded systems described...
... observability conditions of linear autonomous systems , Nederl Acad Wetensch Proc Ser A, 72, 443–448 15 [11] Hinrichsen, D., Pritchard, A.J (1986), ‘Stability radii of linearsystems , Systems Control Lett., ... problem was considered in [14, 24] for linear delay systems Therefore, it is natural and meaningful to continuous studying controllability radius for linear neutral systems The aim of this paper is ... the controllability radius of linearsystems under unstructured perturbations is derived by Esing in [5] After that, formulas for controllability radius of linearsystems under structured perturbation...
... Examples of Linear and Nonlinear Systems Table 5-1 provides examples of common linear and nonlinear systems As you go through the lists, keep in mind the mathematician's view of linearity (homogeneity, ... coefficient B Current All linearsystems have the property of static linearity The opposite is usually true, but not always There are systems that show static linearity, but are not linear with respect ... Alternatives to Linearity To appreciate the importance of linear systems, consider that there is only one major strategy for analyzing systems that are nonlinear That strategy is to make the nonlinear...
... generation mobile communication systems and beyond 3 Source Destination Figure 1.2 MIMO system To exploit the benefits of MIMO systems, transceiver design for MIMO systems is of great meaning and ... design for conventional MIMO systems has been extensively studied in various scenarios in the past decade [23–26] 1.1.3 AF MIMO Relay Systems The benefits of multiple-antenna systems can be directly ... Design for AF MIMO-OFDM Relay Systems: In this chapter, joint design of linear relay precoder and destination equalizer for dual-hop non-regenerative AF MIMO-OFDM systems under channel estimation...
... useful on systems with more variables than equations Many examples are in the next subsection Another way that linearsystems can differ from the examples shown earlier is that some linearsystems ... go in the same way We can study how linearsystems are reduced by instead studying how the associated homogeneous systems are reduced 22 Chapter One LinearSystems Studying the associated homogeneous ... solve a linear system There is an algorithm that always Section I Solving LinearSystems works The next example introduces that algorithm, called Gauss’ method (or Gaussian elimination or linear...
... Continuous LinearSystems We can consider linearity as a view of our mind There exists no general technique for the design of controllers for non -linear systems This explains why linear models ... continuous linearsystems / Kaddour Najim p cm Includes bibliographical references and index ISBN-13: 978-1-905209-12-5 ISBN-10: 1-905209-12-6 Linearsystems Automatic control Mathematics Linear ... continuous linearsystems / Kaddour Najim p cm Includes bibliographical references and index ISBN-13: 978-1-905209-12-5 ISBN-10: 1-905209-12-6 Linearsystems Automatic control Mathematics Linear...
... Isomonodromy transformations of linearsystems of difference equations By Alexei Borodin Abstract We introduce and study “isomonodromy” transformations of the matrix linear difference equation Y (z ... 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 for linearsystems of difference ... theory of linear difference equations, Trans Amer Math Soc 12 (1911), 243–284 [Bi2] ——— , The generalized Riemann problem for linear differential equations and the allied problems for linear difference...
... above conditions generates languages that are semilinear and can be recognized in polynomial time The definition of linear context-free rewriting systems is deliberately not specific about the kinds ... a gcfg and its interpretation function m maps symbols onto operations whose yield functions are linear regular operations In order to simplify the remaining discussion we assume that m maps directly ... where the equation is regular (all the variables appearing on one side appear on the other) and linear (the variables appear only once on the left and right) For example, the operations of head...
... Negra corpus Translation: After that coal dust had caught fire Linear Context-Free Rewriting SystemsLinear Context-Free Rewriting Systems (LCFRS; Vijay-Shanker et al., 1987; Weir, 1988) subsume ... mez-Rodr´guez, Marco Kuhlmann, and o ı Giorgio Satta 2010 Efficient parsing of wellnested linear context-free rewriting systems In Proceedings of NAACL HLT 2010., pages 276– 284 Pierre Boullier 1998 Proposal ... Optimal reducChesnay, France URL http://www.inria tion of rule length in linear context-free rewritfr/RRRT/RR-3342.html ing systems In Proceedings of NAACL HLT Adriane Boyd 2007 Discontinuity revisited:...
... finite copying parallel rewriting systems Theoretical Computer Science, 223:87–120 Acknowledgments Giorgio Satta 1992 Recognition of linear context-free rewriting systems In Proceedings of the 30th ... Computational Linguistics (ACL’87) Daniel Gildea 2010 Optimal parsing strategies for linear context-free rewriting systems In Human Language Technologies: The 11th Annual Conference of the North American ... mez-Rodr´guez and Giorgio Satta 2009 o ı An optimal-time binarization algorithm for linear context-free rewriting systems with fan-out two In Proceedings of the Joint Conference of the 47th Annual...