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This paper addresses the stability results of a Markov jump linear system with parameter uncertainties and time-varying delay. A geometric sequence based method is used for delaypartitioning. Then, a modified geometric sequence division (GSD) dependent augmented Lyapunov-Krasovskii functional (LKF) is constructed with respect to the state variables forming in geometric progression. By employing the...
This paper addresses the stability issues of delayed nonlinear systems of the form x(t) = A(t, x(t), x(t − d(t)))x(t)+B(t, x(t), x(t − d(t)))x (t − d(t)), that is, the system matrices depend on time and the present and past states. By means of a trajectory-based comparison approach, the stability of original nonlinear system is transformed into that of a positive linear system called comparison system...
In this paper consensus control of autonomous vehicle platoon is investigated for connected vehicle systems (CVSs) with time delays. Information interaction of the CVSs can be modeled as a network topology. The network topology is extended into the generic framework adapting to any topology, which is represented by a Laplacian matrix. Based on the generic framework, the distributed control protocols...
This paper mainly concerns the issue of asynchronously switched control for a class of continuous-time switched linear systems with persistent dwell time (PDT). Asynchronous switching implies that when a subsystem switches the matched controller remains active for a finite period of time, such that the Lyapunov-like function increases. A semi-time-dependent (STD) multiple Lyapunov-like function with...
In this paper, we study the stability of fractional-order systems with distributed delays under Riemann-Liouville derivatives. First, the sufficient condition for stability of fractional-order system with distributed delays is presented by applying continuous frequency distributed equivalent model with indirect Lyapunov approach and combining Lyapunov-Krasovskii functionals with Jensen inequality...
The performance of interior permanent magnet synchronous motor (IPMSM) drive system is affected by parameters variation and digital control delay, which increases the difficulty and complexity of analyzing and designing, a visualization technique is proposed in discrete time domain. First of all, D-partition method is used to obtain stable region of IPMSM current loop, while the sampling & computation...
The Stability issues in PHIL simulations has always been of major concern due to the inherent delays within the interface devices. Various control algorithms are proposed in literature to overcome this problem. The paper uses a simple filtering technique followed by compensation blocks to overcome the stability problem. This paper further proposes a mathematical approach to consider the stability...
Unknown delayed systems are present in many domains and control this kind of systems remains a difficult problem. Indeed, we can find theses systems in physics, chemistry, aeronautics, etc. The main problem is that the delay is unknown, and so the model is not exactly well-known. By the way, the use of model-free control (MFC) remains a suitable solution to tackle this problem. This paper deals with...
Science of Neural Networks, and even much more so computing applications, have undergone developments beyond any predictions since McCullock-Pitts artificial neuron (1943) up via Hopfield's neurons (1982, 1984) to Kasabov spiking-neurons neucube (2014) and evolving connectionist systems (2003). Still computational functionality of all kinds of neural network implies guaranteed operating steady-state...
In networked load frequency control (LFC) systems, time-varying delays could come from two aspects: measurements' transmission from power plant to control center and control signals from the control center to plant side, because of the use of open communication networks. Those delays can affect the dynamic performance and the stability of the system. In this paper, the two delays are considered in...
This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
This work is devoted to the admissibility analysis for singular time-delay systems by using delta operator approach. By estimating the delay term with a two-term approximation, the singular system in delta operator domain is transformed into an interconnection of a time-invariant subsystem with constant delay and a uncertain one. By resorting to the input-output approach, a delay-range-dependent admissibility...
In this paper, the problem of stability for complex-valued neural networks involving both discrete and distributed delays is considered. Assuming that the activation function can be separated into its real and imaginary part, a sufficient condition is proposed for the asymptotical stability of the addressed neural networks by employing some analysis techniques. Finally, a numerical example is presented...
When designing a controller in DC Microgrid, normally the communication delay, which may cause system instability, has not been taken into account. In this paper, the effect of communication delay on system stability is studied based on a distributed control strategy. To obtain a less conservative condition for system stability, the delay-dependent stability is analyzed. In the case of time-invariant...
In this paper a linear time delay systems of retarded type are presented as a potential model that can capture the behavior of human arm movement. The line tracking experiment is designed to validate the performance of the proposed model. The issue of stability of the time delay systems is presented and the critical delays curve is computed to indicate the stable region of the system in the delay...
A new method is proposed for stability of load frequency control (LFC) scheme with fixed and time-varying delay cases included. Novel conditions with delay dependency in terms of LMI for LFC systems are derived by an augmented Lyapunov-Krasovski (L-K) functional. Our proof deployment for stability analysis of power grid applies the further improved integral inequality in truncated infinite series...
This paper investigate the stabilizing controller design of a class of linear time-invariant systems with one-step random delay in discrete time. Both stabilizing dynamic feedback and state feedback control are in consideration. The dynamic stabilizing controller of the closed-loop stochastic system are determined by the solutions of two discrete algebraic Riccati equations (DAREs). And the state...
In this paper, the problem of sliding mode control (SMC) for mismatched uncertain system is investigated. Some delay dependent robust asymptotical stability conditions are provided. Firstly, we give a lemma. By this lemma, a delay-dependent sufficient condition is presented by means of linear matrix inequalities (LMIs) which makes sliding mode dynamics asymptotically stable. Secondly, an adaptive...
This paper is concerned with global exponential stability problem for a class of neural networks with time-varying delays. An appropriate Lyaponov-krasovskii functional (LKF) is constructed firstly. The symmetric matrices involved in the LKF are not required to be all positive definite. The obtained criterion expressed in terms of linear matrix inequalities (LMIs) shows advantages over the existing...
In this paper, we consider the stability of a class of linear systems with a time-varying delay. By using delay decomposition method, the time-delay interval is decomposed into two sub intervals to construct a suitable Lyapunov-Krasovskii functional, and each term of the Lyapunov-Krasovskii functional do not need to be positive definite, the partial items of Lyapunov-Krasovskii functional are consider...
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