Results 101 to 110 of about 72,691 (241)
Lyapunov stability and its application to systems of ordinary differential equations [PDF]
An outline and a brief introduction to some of the concepts and implications of Lyapunov stability theory are presented. Various aspects of the theory are illustrated by the inclusion of eight examples, including the Cartesian coordinate equations of the
Kennedy, E. W.
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Homogeneous Observer‐Based Affine Formation Tracking
International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2692-2704, 25 March 2026.ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López +3 more
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2907-2926, 25 March 2026.ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2463-2473, 15 March 2026.ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye +6 more
wiley +1 more source
Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3303-3316, 15 March 2026.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley +1 more source
Lyapunov Techniques for Stochastic Differential Equations Driven by Fractional Brownian Motion
Abstract and Applied Analysis, 2014 Little seems to be known about evaluating the stochastic stability of stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm) via stochastic Lyapunov technique.
Caibin Zeng, Qigui Yang, YangQuan Chen
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Model Reference Adaptive Control Based on Lyapunov Stability Theory
TELKOMNIKA Indonesian Journal of Electrical Engineering, 2014 According to the obvious characteristics of time-varying nonlinear controlled object, in order to improve the control performance, can use appropriate adaptive control strategy. Based on the research object system of a certain amount of input to control variables, according to Lyapunov stability theory, the research object system input/output variable ...
Minan TANG +3 more
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Event‐Triggered Saturating Control for Synchronization of Lur'e Type Complex Dynamic Networks
International Journal of Robust and Nonlinear Control, Volume 36, Issue 4, Page 2184-2198, 10 March 2026.ABSTRACT This article addresses the problem of synchronizing discrete‐time Lur'e type complex dynamic networks (CDNs) via dynamic event‐triggered control. In particular, it is considered that the control signal of each node is subject to input saturation. Using the Lyapunov Stability Theory, properties of slope‐restricted nonlinearities, and the linear
C. Lisbôa +3 more
wiley +1 more source
A Stochastic Discrete Fractional Cournot Duopoly Game: Modeling, Stability, and Optimal Control
ComplexityA stochastic discrete fractional Cournot duopoly game model with a unique interior Nash equilibrium is developed in this study. Some sufficient criteria of the Lyapunov stability in probability for the proposed model at the interior Nash equilibrium are ...
Jie Ran, Yonghui Zhou
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Abstract and Applied Analysis, 2015 A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high ...
Shih-Yu Li +5 more
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