Results 121 to 130 of about 8,963 (248)
, 2017 This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov ...
Hong-Bing Zeng +5 more
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Flexible control Lyapunov functions
2009 American Control Conference, 2009 A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state trajectory is contained within a cone with a fixed, predefined shape, and which is centered at and converges to a desired converging point.
openaire +2 more sources
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
A Lyapunov functional for a system with a time-varying delay
, 2012 The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is ...
Duda, J.
core
IET Smart Energy Systems, Volume 2, Issue 2, Page 158-169, June 2026.A TD3‐based deep reinforcement learning controller is developed for a multiport converter in low‐power EV applications. The data‐driven, model‐free strategy improves dynamic performance under constant power load destabilisations and demonstrates advanced intelligent control suited for next‐generation smart and integrated energy systems.
Amirhossein Hosseini +2 more
wiley +1 more source
IET Smart Energy Systems, Volume 2, Issue 2, Page 102-119, June 2026.A resilient estimation and control framework is developed for smart‐grid cyber‐physical systems to simultaneously detect cyberattacks and estimate physical faults. The proposed method ensures accurate estimation and robust performance under disturbances and sparse sensor attacks.
Jin Li, Youmin Zhang
wiley +1 more source
Lyapunov theorems for systems described by retarded functional differential equations
, 2006 Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are provided. © 2005 Elsevier Ltd.
Karafyllis, I.
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Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
wiley +1 more source
Nash Equilibrium and Robust Stability in Dynamic Games: A Small-Gain Perspective
This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness
Jiang, Zhong-Ping +2 more
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MathematicsIn this paper, for the first time, a simultaneous design of a model predictive control plan and persistent dwell-time switching signal utilizing the conventional multiple Lyapunov–Krasovskii functional is proposed for linear delayed switched systems that
Yasser Falah Hassan +4 more
doaj +1 more source