Non-cooperative intelligent control agents (ICAs) with dedicated cost functions, can lead the system to poor performance and in some cases, closed-loop instability. A robust solution to this challenge is to place the ICAs at the feedback Nash equilibrium point (FNEP) of the differential game between them. This paper introduces the designation of a robust decentralized infinite horizon LQR control system based on the FNEP for a Linear time-invariant system. For this purpose, two control strategies are defined. The first one is a centralized infinite horizon LQR (CIHLQR) problem (i.e. a supervisory problem), and the second one is a decentralized control problem (i.e. an infinite horizon Linear-quadratic differential game). Then, while examining the optimal solution of each of the above strategies on the performance of the other, the necessary and sufficient conditions for the equivalence of the two problems are presented. In the absence of the conditions, by using the least-squares error criterion, an approximated CIHLQR controller is presented. It is shown that the theorems could be extended from a two-agent control system to a multi-agent system. Finally, the results are evaluated using the simulation results of a Two-Area non-reheat power system.

In this paper, a new sliding mode observer (SMO) for state estimation of Linear systems with unknown time-varying delay, and in the presence of unknown input is presented. This method is an extension on well known unknown input SMO, proposed by Zak. In our approach, the design procedure is very simplified in comparison with the other similar SMO. With an adequate choice of a Lyapunov-Krasovskii functional, sufficient conditions are obtained in LMIs terms to guarantee asymptotic stability of the state estimation errors. In order to reach a guaranteed convergence rate, the dynamic properties of observer are also analyzed. The effectiveness, simplicity, and straight-forwardness of method are shown by simulation of a numerical example.

In this paper, the problem of delay dependent robust asymptotically stable for uncertain Linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, Linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm bounded uncertainty. A numerical example is presented to illustrate our present stability criterion allows an upper bound which is bigger on the size of the delay in comparison with those in the literature.

This paper deals with the fault diagnosis of a Linear continuous variable dynamical system represented by a discrete state-space model. The proposed fault diagnoser was based on a special Petri net (PN) called continuous-time delay Petri net (CTDPN). According to the theorem presented in this paper, an exact correspondence between discrete state-space equations and fundamental equations of the CTDPN was established. Based on this theorem, a systematic method was proposed for the realization of classical parity equations by a CTDPN that played the role of the fault diagnoser. By integrating the concept of state-space models and PNs in this paper, new and effective methods can be proposed for the analysis and fault diagnosis of hybrid systems. Finally, the performance of the proposed method was investigated for the fault diagnosis of a DC motor. The results demonstrated that, with the help of the proposed PN, fault diagnosis can be performed well and the traditional diagnoser can be replaced with this novel network.

This study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order Linear continuous-time delaying switched systems. The approach is evaluated in terms of Lp norm performance, aiming to mitigate the challenges associated with time delays in repetitive regulation of fractional-order Linear systems. The generalised Young inequality of the convolution integral is used to leverage the resilience of the PDα-type approach in the iteration domain when the systems are perturbed by constrained external disturbances. We next analyse the convergence of the techniques for noise-free systems. The results demonstrate that it is feasible to guarantee both convergence and robustness over the duration of the experiment in certain situations. We study the convergence of error for the proposed class of fractional-order Linear continuous-time delaying switched systems.

This manuscript presents Hyers{Ulam stability and Hyers{ Ulam{Rassias stability results of non{Linear Volterra integro{delay dynamic system on time scales with fractional integrable impulses. Picard  xed point theorem is used for obtaining existence and uniqueness of solutions. By means of abstract Gr onwall lemma, Gr onwall's inequality on time scales, we establish Hyers{Ulam stability and Hyers{Ulam{Rassias stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results.

A new method is presented in this paper to improve the performance of time delay Multiple-Input Multiple-Output systems. The method uses a specific compensator for each of the control loops by which the non-minimum phase characteristic of the open loop functiond changes to minimum phase. When using the proposed added compensator for robustness of the system it is sufficient that compensater becomes dominant gain with respect to the upper norm of the uncertainty of the process. The proposed method is applicable easily in a convetional feedback control loop.

This paper studies the stability conditions of discrete-time switched Linear systems in the presence of parametric uncertainties and time-delay. The time-varying delay is assumed to be unknown but bounded. Based on the discrete Lyapunov functional, sufficient conditions are investigated to determine the upper bound of admissible time-delay. Furthermore, the average dwell time method that is an effective tool for stability analysis of switched systems is used to derive the exponential stability conditions. These conditions characterize the switching signal that does not depend on any uncertainties. Finally, numerical example is provided to verify the theoretical results.

This paper investigates the problem of stability analysis for Linear systems with time-varying delay. To reduce the conservativeness of sufficient stability conditions, a novel augmented Lyapunov-Krasovskii Functional (LKF) which includes quadratic terms of double-integral phrases is introduced; as well, the technique of free-weighting matrices with new slack variables is employed; moreover, a tighter integral inequality is derived for bounding the cross-product terms in the derivative of chosen LKF. Numerical examples are presented to illustrate the superiority of the proposed method compared to some of the previously developed approaches.

The present study proposes a short-term memory discrete-time Finite Impulse Response (FIR) controller design along with an optimized tuning method. To this end, the loop shaping scheme was employed in the framework of Linear Matrix Inequalities (LMIs) to adjust some characteristics of the open-loop frequency response such as phase margin and bandwidth to the desired values at appropriate frequencies. Unlike the conventional methods whose functions are based on state-space models, the proposed procedure generates LMIs directly in the frequency domain. The proposed controller design procedure was applied to several integrating time-delay systems to illustrate its performance, and the obtained results were compared with the results of some other competing methods.