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For LTI systems with a time-varying input delay, an explicit formula for predictor feedback was presented by Nihtila in 1991. In this note we construct a time-varying Lyapunov functional for the closed-loop system and establish exponential stability. The key challenge is the selection of a state for a transport PDE, which has a non-constant propagation speed, and which is the basis of the stability...
This paper addresses an Euler-Bernoulli beam equation under boundary control and collocated observation for which observation suffers a constant time delay. Since this system is well-posed in the sense of D.Salamon, exactly observable and controllable, we construct an infinite-dimensional observer which results in a well-posed observer system. After designing estimated state feedback control we show...
The dynamics of hybrid systems with mode dynamics of different dimensions is described. The first part explores structural properties of such multi-mode multidimensional (M3D) systems. The second part considers such models under sequential switching at random times. More specifically, the backward Kolmogorov equation is derived. This is applied to a causally restricted hybrid system containing a mode...
In a previous paper, these authors showed that posets provide a useful modeling framework for a reasonably large class of decentralized control problems. In this paper we show more connections between posets and decentralized control. Firstly, we show that previously known results about systems with time delays follow naturally using the poset framework. We also mention extensions of this to infinite-dimensional...
This paper extends the nonlinear ISS small-gain theorem to a large-scale time delay system composed of three or more subsystems. En route to proving this small-gain theorem for systems of differential equations with delays, a small-gain theorem for operators is examined. The result developed for operators allows applications to a wide class of systems, including state space systems with delays.
This work presents a set of cascade high gain observers for triangular nonlinear systems with delayed output measurement. A sufficient condition ensuring the exponential convergence of the observation error towards zero is given. This result is illustrated by some simulations.
This paper addresses the problem of constructing Lyapunov-Krasovskii functionals for verifying integral input-to-state stability(iISS) and input-to-state stability(ISS) of time-delay nonlinear systems. Based on decomposition of a time-delay system into a dynamic component (a functional differential equation) and static components (functional algebraic equations), this paper develops an iISS small-gain...
We try to synchronize physical models described by wave equations with nonlinear boundary conditions. These systems are distributed parameter systems in which ideal turbulence, introduced by Sharkovsky et al., occurs. The behavior of such systems can be quite intricate both in time and space. However, by using the d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to...
This paper addresses the H?? stability analysis of neutral time-delay systems with multiple commensurate delays including those with poles asymptotic to the imaginary axis. This extends previous work where only the single delay case was considered. Some frequency-domain tests for this kind of stability are proposed.
In this paper, we consider stochastic recursive optimal control problem of the stochastic delayed system described by forward-backward stochastic differential equation with delay. By virtue of classical spike variational approach, duality method and the anticipated backward stochastic differential equation, we obtain the maximum principle of the optimal control for this problem.
We investigate three stochastic problems (linear dynamics quadratic criterion, minimum-cost path, equipment replacement) with time-delayed control dynamics. We show how the concept of ??stage lookahead?? helps to reduce the number of arguments in the optimal value function of dynamic programming in order to alleviate the so-called curse of dimensionality.
Diagnosis for delay defects becomes more significant as the CMOS process advances to nanometer regime. The most challenging problems of delay fault diagnosis in nanometer process come from the process variation, which results in small delay variations. Small delay variations are difficult to be diagnosed by using existing methods based on a specific fault model. This paper presents a new estimation...
As an important tool to study practical problems of biology, engineering and image processing, the cellular neural networks (CNNs) has caused more and more attention. Some interesting results about the existence of solution for cellular neural networks have been obtained. In this paper, by means of iterative analysis, the existence of periodic solution and the uniform stability of the equilibrium...
This paper describes a new methodology for designing bilateral controllers based on transparency that applies a modified scheme of control by state of convergence. The design is based on modelling the behavior of the master and slave which regard state space equations, and also taking into account that perfect transparency cannot be reached. This methodology allows designing the controllers in order...
This paper proposes an AI-based heuristic optimization techniques based on particle swarm optimization (PSO) to solve two applications i.e. identification of a DC motor and tuning PID controller parameters. The identification of a DC motor application, the 2nd order transfer function with time delays is obtained by the searching poles location mechanism based on PSO. This method has following steps...
In this paper, a model describing dynamics of Cohen-Grossberg-type bidirectional associative memory neural networks with neutral time-varying delays is investigated by using the continuation theorem of Mawhin's coincidence degree theory and the properties of an M-matrix. Without assuming the continuous differentiability of time-varying delays, some sufficient conditions on the existence of the periodic...
This paper proposes the analysis and design of robust fuzzy control to nonlinear systems with time delay. The nonlinear system to be controlled, is studied in the context of Linear Parameters Varying (LPV) systems, it is partitioned into several linear sub-models of second order with time delay, in terms of transfer function, forming a convex polytope. Once defined the linear sub-models of the plant,...
Aiming at first-order inertial systems with time-delay this paper presents a new method of auto disturbance rejection control (ADRC) parameter tuning, in which it confirms the corresponding relationship of ADRC parameters for different objects in groups of the ??/T value, and with the method of time transformation and gain transformation. The procedure of different objects parameter tuning is simplified...
The construction of Lyapunov-Krasovskii functionals for a linear time-delay system depends on so-called Lyapunov matrices. These matrices satisfy a system of matrix delay equation with specific boundary conditions. We study the problem of uniqueness of this system's solution.
The Smith predictor is a well-known method for designing controllers for plants with I/O delays. Assuming the time delay known, this control configuration compensates the delay within the loop making it possible to design the controller just considering the (rational) delay-free part of the plant. Since the original Smith predictor does not allow to deal with unstable plants, intensive research has...
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