Results 51 to 60 of about 2,005 (225)
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
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
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A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Boundedness in functional dynamic equations on time scales
Advances in Difference Equations, 2006 Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales.
Raffoul Youssef N, Akin-Bohner Elvan
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In the work we proposed the model of immunosensor, which is based on the system of lattice differential equations with delay. The conditions of local asymptotic stability for endemic state are gotten.
Vasyl Martsenyuk +2 more
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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Robust exponential stability of nonlinear impulsive switched systems with time-varying delays
Nonlinear Analysis, 2012 This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome
Xiu Liu, Shouming Zhong, Xiuyong Ding
doaj
Asymptotic Stabilization of Oilwell Drillstring Torsional and Axial Vibrations
MathematicsThis paper takes as its starting point the distributed parameter models for both torsional and axial vibrations of the oilwell drillstring. While integrating several accepted features, the considered models are deduced following the Hamilton variational ...
Daniela Danciu, Vladimir Răsvan
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On Continuation and Convex Lyapunov Functions
IEEE Transactions on Automatic ControlFinal version, 12 pages, to appear in the IEEE Transactions on Automatic ...
Wouter Jongeneel, Roland Schwan
openaire +3 more sources