Results 71 to 80 of about 10,834,365 (253)
Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach
MathematicsThis paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
doaj +1 more source
IEEE Access, 2020 This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology.
Sha-Jun Zhou +2 more
doaj +1 more source
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
IEEE Access, 2020 This paper investigates the stability analysis of sampled-data control systems with nonuniform sampling and communication delays. First, by taking full advantage of effective information of the sampling intervals [tk, tk+1) and [tk-τ, tk+1-τ
Hong-Hai Lian +3 more
doaj +1 more source
Stepwise structure of Lyapunov spectra for many-particle systems using a random matrix dynamics [PDF]
Physical Review E, 2002 The structure of Lyapunov spectra for many particle systems with a random interaction between the particles is discussed. The dynamics of the tangent space is expressed as a master equation, which leads to a formula that connects the positive Lyapunov exponents and the time correlations of the particle interaction matrix.
Taniguchi, Tooru, Morriss, Gary P.
openaire +3 more sources
A criterion of existence and uniqueness of the Lyapunov matrix for a class of time delay systems [PDF]
, 2016 The Lyapunov matrix for systems of linear time-delay equations is a matrix-valued function which is a solution of a special dynamic system with some additional boundary conditions.
Egorov, Alexey V.
core
Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities [PDF]
, 2011 An output feedback-based sliding-mode control design methodology for discrete-time systems is considered in this article. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be ...
Floquet, Thierry +7 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
Lyapunov stability analysis of higher-order 2D systems
, 2010 We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda +8 more
core +2 more sources
Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays
Discrete Dynamics in Nature and Society, 2014 The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent
Ting Lei, Qiankun Song, Zhenjiang Zhao
doaj +1 more source