Results 101 to 110 of about 10,834,365 (253)
Lyapunov stability analysis of higher-order 2-D systems
We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Kojima, Chiaki +2 more
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A Lyapunov matrix based stability criterion for a class of time-delay systems [PDF]
, 2017 This paper is devoted to the stability analysis of linear time-invariant systems with multiple delays. First, we recover some basic elements of our research.
Mondié, Sabine +2 more
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley +1 more source
Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
AxiomsThis paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang +2 more
doaj +1 more source
Construction of Lyapunov function for power system based on solving linear matrix inequality
Electrical Engineering in Japan, 2005 AbstractThis paper presents construction of Lyapunov functions for power systems based on solving the Linear Matrix Inequality (LMI) derived from the Lyapunov stability theorem considering the dynamics of load characteristic and AVR control system. The proposed Lyapunov function is constructed as a quadratic form of state variables and an integral term
Ishigame, Atsushi +3 more
openaire +2 more sources
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source
IEEE Access, 2019 Bipartite consensus protocol is designed for multi-agent systems with time-varying delays. Then, the bipartite consensus problem is transformed into a corresponding stability problem by methods of gauge transformation and state transformation.
Xiaodan Zhang, Kaien Liu, Zhijian Ji
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Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley +1 more source
Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay
Discrete Dynamics in Nature and Society, 2010 This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix ...
Jun Li +4 more
doaj +1 more source
Classification of Processes by the Lyapunov exponent [PDF]
This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
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