Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]
, 2005 Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S. +5 more
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Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
core +4 more sources
Stability analysis of geodesics in dynamical Chern–Simons black holes: a geometrical perspective
European Physical Journal C: Particles and FieldsWe apply the Kosambi–Cartan–Chern theory to perform an extensive examination of Jacobi stability of geodesics around rotating black hole solutions to dynamical Chern–Simons gravity, a theory that introduces modifications to General Relativity via a ...
Tonatiuh Tiscareño +2 more
doaj +1 more source
Adaptive Control Design and Stability Analysis of Robotic Manipulators
Actuators, 2018 In this paper, the author presents the adaptive control design and stability analysis of robotic manipulators based on two main approaches, i.e., Lyapunov stability theory and hyperstability theory.
Bin Wei
doaj +1 more source
Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links
Advanced Science, EarlyView.An analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Qiang Li +5 more
wiley +1 more source
A two-variable approach to solve the polynomial Lyapunov equation
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
core +2 more sources
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Lyapunov Functions to Caputo Fractional Neural Networks with Time-Varying Delays
Axioms, 2018 One of the main properties of solutions of nonlinear Caputo fractional neural networks is stability and often the direct Lyapunov method is used to study stability properties (usually these Lyapunov functions do not depend on the time variable).
Ravi Agarwal +2 more
doaj +1 more source
Exploiting Ferroelectric and Spintronic Dynamics for Neural Network Computation
Advanced Intelligent Systems, EarlyView.Ferroelectric and spintronic devices, relying on the control of polarization and magnetization, offer intrinsically fast, durable, energy‐efficient, and low‐latency building blocks for analog in‐memory computing. The hysteretic dynamics of an order parameter are leveraged to provide nonvolatile, multistate memory and nonlinear switching. Brain‐inspired
Dashiell Harrison +4 more
wiley +1 more source
Lyapunov-theory-based radial basis function networks for adaptive filtering
, 2002 Two important convergence properties of Lyapunov-theory-based adaptive filtering (LAF) adaptive filters are first explored. The LAF finite impulse response and infinite impulse response adaptive filters are then realized using the radial basis function ...
Zhihong Man (18924160) +2 more
core +1 more source