Results 81 to 90 of about 10,834,365 (253)
On the Lyapunov Matrix for Integral Delay Systems with a Class of General Kernel
IFAC-PapersOnLine, 2019 Abstract We study integral delay systems with exponential kernel. The computation of the Lyapunov matrix is shown to reduce to an auxiliary system of differential equations with boundary conditions of mixed type. We prove that the solution of the auxiliary system exist and is unique if the integral delay system satisfies the Lyapunov condition.
Reynaldo Ortiz, Sabine Mondié
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The vibrating screening equipment in industry usually requires power supply to each driving motor to keep up with its normal operation. The self‐synchronization transmission motion of two motors can achieve the screening requirement and save electrical energy by driving one single inductor motor. Nevertheless, this technology is currently only
Lei Jia, Di Zhang, Dawei Gu
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Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay
Abstract and Applied Analysis, 2011 The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper.
Yali Dong, Shengwei Mei, Xueli Wang
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Stability conditions for time delay systems in terms of the Lyapunov matrix
IFAC-PapersOnLine, 2018 Abstract An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof strategies are outlined in the retarded type case. The state of the art and potential extensions to other classes of delay systems are discussed.
Sabine Mondié +2 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori +1 more
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LMI-Based Stability of Nonlinear Non-Autonomous Fractional-Order Systems With Multiple Time Delays
IEEE Access, 2019 Linear matrix inequality (LMI), as a class of stability conditions for non-autonomous fractional-order (NAFO) systems, is proposed in this paper. Based on the fractional-order Lyapunov direct method, the Mittag-Leffler stability of fractional-order ...
Shuo Zhang, Lu Liu, Xinshu Cui
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Equivalence of Lyapunov matrix equations for continuous and discrete systems
Electronics Letters, 1967 It is shown that, through the transformation B=(A+I)(A+I)- 1 , the Lyapunov matrix equations for continuous and discrete systems A'L+LA=-C and A'LA-L=-C, respectively, may be converted one to the other.
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Lyapunov and non-Lyapunov stabilty of linear discrete time delay systems
, 2003 This paper extends some of the basic results in the area of Lyapunov (asymptotic) and finite time and practical stability to linear, discrete, time invariant time-delay systems, New definitions have been established for the latter concept of stability ...
N. Yi-Yong +7 more
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Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, EarlyView.A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
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