dynamics of nonlinear time delay systems pdf

... 1STABILIZATION AND CONTROL OF UNSTABLE TIME DELAY SYSTEMS LEE SEE CHEK NATIONAL UNIVERSITY OF SINGAPORE 2012 Trang 2STABILIZATION AND CONTROL OF UNSTABLE TIME DELAY SYSTEMS LEE SEE CHEK ... in industry Study of time delay systems remains ahot research topic while the unstable systems are gaining great attention from researchersrecently Control of unstable delay systems is the most ... DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE 2012 Trang 3Abstract Control theories and designs for stable delay-free systems

Ngày tải lên: 09/09/2015, 17:57

... investigate exponential stability of general nonlinear time-varying differential systems of the form x.t P / D f t , x.t //, t> > (1) Stability analysis of the nonlinear time-varying differential system ... Int J Robust Nonlinear Control (2012) DOI: 10.1002/rnc STABILITY OF NONLINEAR TIME-VARYING SYSTEMS To state the next result, we now consider a linear time-varying differential system of the form ... The remainder of the proof is similar to that of the proof of Theorem 2.2 Suppose all hypotheses of Corollary 2.4 hold Thus, (10) is exponentially stable Consider a perturbed system of the form

Ngày tải lên: 16/12/2017, 10:05

... function of a delay element is given bye −sh 1.2 Examples of Time-delay Systems Some typical examples of time-delay systems in engineering are discussed here.1.2.1 Shower A simple example of a time-delay ... some examples of time-delay systems are discussedand then a brief review on the control of time-delay systems, followed by anoverview of this book, is given 1.1 What Is a Delay? Time delay is the ... unstable when the value of the delay exceeds the following bound: Trang 261.3 A Brief Review of the Control of Time-delay Systems 91.3 A Brief Review of the Control of Time-delay Systems The first effective

Ngày tải lên: 07/09/2020, 15:53

... such systems and got some consequences But in the study of such systems, there are still many problems to be considered 2 Time delay systems 2.1 Continuous time delay systems 2.1.1 Continuous time ... lot of systems that have the phenomena of time delay and singular characteristics simultaneously We denote such systems as the singular (descriptor) differential (difference) systems with time delay ... class of systems has been one of the main interests for many researchers In general, the introduction of time delay factors makes the analysis much more complicated When the general time delay systems

Ngày tải lên: 20/06/2014, 07:20

... series of assumptions Noticably, the linear delayed system of Δ given in Eq (22) is with time-dependent coefficients The specific example shown in Section 4 with coupled modified Mackey-Glass systems ... numbers, and τ dis the time lag by which the state variable of the slave is retarded in comparison with that of the master The synchronization error is defined as Dynamics of synchronization error ... is completely nonidentical to that of slave if S I=S M ∩ S S ≡Φ Otherwise, if there are I components of nonlinear transforms whose function forms and value of delays are shared between the master’s

Ngày tải lên: 20/06/2014, 07:20

... Bezruchko, B P (2005) Reconstruction of time-delayed feedback systems from time series, Physica D 203: 209–223 Pyragas, K (1998a) Synchronization of coupled time-delay systems: Analytical estimations, ... variable delay times and synchronization in time-delayed systems, Chaos, Solitons and Fractals 25: 325–331. Shahverdiev, E M & Shore, K A (2005) Generalized synchronization of time-delayed systems, ... (Chopra, 2009), and the issue of time delay for robotic systems has been studied through the passivity property For systems with time delays, both delay dependent and delay independent control strategies

Ngày tải lên: 20/06/2014, 07:20

... 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 ... pp 521–542, 1999 10 E K Boukas, “State feedback stabilization of nonlinear discrete-time systems with time-varying time delay,” Nonlinear Analysis: Theory, Methods & Applications, vol 66, no ... Sun and J G Hsieh, “Robust stabilization for a class of uncertain nonlinear systems with timevarying delay: Razumikhin-type approach,” Journal of Optimization Theory and Applications, vol 98, no

Ngày tải lên: 21/06/2014, 20:20

... of the Lagrangian dynamics of mechanical systems, the next chapter proceeds with the Lagrangian dynamics of electrical networks and the remaining chapters address a wide class of ... rigid body is the sum of the kinetic coenergy of translation of the total mass lumped at the center of mass and the kinetic coenergy of rotation around the center of mass): 1 2 1 ˙ ... length... various elementary parts of the system The choice of generalized coordinates is not unique The derivation of the variational form of the equations of dynamics from its vector counterpart

Ngày tải lên: 02/07/2014, 06:20

... which contain derivatives of the variables of one order lower than the order of the differential equations. The most celebrated of these first integrals is that of conservation of energy (1.23); it ... moments about Oz of the external forces from the cable of the pendulum and the gravity vanish). 1.10 More on continuous systems In this section, additional aspects of continuous systems are discussed. ... 30 1 Lagrangian dynamics of mechanical systems Recall that the Lagrangian reads L = T ∗ − V = T ∗ 2 + T ∗ 1 + T ∗ 0 − V (1.68) where T ∗ 2 is a homogenous quadratic function of ˙q k , T ∗ 1 is

Ngày tải lên: 02/07/2014, 06:20

... for the solutions of time-invariant linear delay systems. Keywords: time delay system, exponential estimate, Lyapunov-Krasovskii func- tional. 1 Introduction The objective of this note is to ... Laplace transform of the solutions of the time delay system. The note is organized as follows. After some preliminaries on delay systems in the next section we describe the construction of the Lyapunov-Kr ...  . (23) 10 [...]... analysis of time- delay systems Automatica, 39:15–20, 2003 [10] V L Kharitonov and E Plischke Lyapunov matrices for time- delay systems Report ???, Zentrum f¨

Ngày tải lên: 06/07/2014, 21:20

... SPACE EXPLORATION OF REAL-TIME EMBEDDED SYSTEMS UNMESH DUTTA BORDOLOI NATIONAL UNIVERSITY OF SINGAPORE 2008 INTERACTIVE DESIGN SPACE EXPLORATION OF REAL-TIME EMBEDDED SYSTEMS UNMESH DUTTA ... analysis of real-time systems. In Proc. 16th Euromicro Conference on Real-Time Systems (ECRTS), pages 187–195. IEEE Computer Society, 2004. [5] A. Albert. Comparison of event-triggered and time-triggered ... Hardware/Software Partitioning We develop an efficient scheme for design space exploration in the context of hardware/software co -design of real- time systems Such systems nowadays

Ngày tải lên: 11/09/2015, 16:04

... 1DYNAMIC SCHEDULING OF REAL-TIME CONTROL SYSTEMSQIAN LIN A DISSERTATION SUBMITTED FORTHE DEGREE OF MASTER OF ENGINEERINGDEPARTMENT OF MECHANICAL ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE 2004 ... nominal release time Therelease time may be delayed due to the preemption of higher priority tasks • Task execution time e is the average time required to complete the execution of the task when ... attributesinclude the task release time, the task period, the task execution time, the responsetime and the task deadline • The release time is the moment of time when the task becomes eligible

Ngày tải lên: 04/10/2015, 17:06

... for linear time-varying delay systems is more difficult, because time-varying delay systems have more complicated dynamic behaviors than the sys-tems without delay or with constant delays Furthermore, ... appropriate properties available as in the un-delayed case Consequently, the problem of the finite-time control of linear time-delay systems with bounded controls is of interest in its own right Motivated ... works cannot be applied readily to the systems with time-varying delays The main difficulty is that the investigation of the spectrum of the time-varying delay system matrices is still complicated

Ngày tải lên: 14/10/2015, 08:03

... finite-time H ∞ control for discrete-time system with constant delays To the best of our knowledge, finite-time H ∞ control problem for linear discrete-time systems with interval time-varying delay ... Trang 1Finite-time stability and H ∞ control of lineardiscrete-time delay systems with norm-bounded disturbances Le A Tuana and Vu N Phatb, ∗ aDepartment of Mathematics College of Sciences, Hue ... behavior of the system within a finite interval time, and therefore it finds many applications A lot of interesting results on finite-time stability and stabilization in the context of linear discrete-time

Ngày tải lên: 14/10/2015, 08:06

... discrete nature of heartbeats, which are unevenly spaced in time, often leads to the use of interpolation procedures, which are likely to introduce bias in the estimation of nonlinear/complexity ... the computation of more than one reference point estimation, this may not be sufficient to properly catch the time-varying dynamics of the com-puted measure Third, most of the nonlinearity and ... heartbeat dynamics, which can be thought of as the output of a nonlinear deterministic system (the pacemaker cells of the sinus node) forced by a high-dimensional input (neural activity of fibers

Ngày tải lên: 19/11/2022, 11:43

... decades, discrete-time systems with delay have drawn much attention from the researchers This is due to their important role in many practical systems The stability of time-delay systems is a fundamental ... We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying ar-guments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majo-rants ... results for difference equations with delay, for example, see 3 12 This paper deals with the absolute stability of nonlinear nonautonomous discrete-time systems with delay, whose linear part has slowly

Ngày tải lên: 22/06/2014, 06:20

... all of the papers discussed above, the authors investigated delay- independent stabilization and control of time- delay systems. Delay- dependent stabilization and H ∞ control of time- delay systems ... designing delay- dependent adaptive controllers for a class of uncertain time- delay systems with time- varying delays in the presence of nonlinear perturbation. In Nounou (2006), the nonlinear ... stabilization of the closed-loop system. In Nounou et al. (2007), the authors focused on the stabilization of the class of time- delay systems with parametric uncertainties and time varying state delay...

Ngày tải lên: 20/06/2014, 07:20