The general problem of the stability of motion

1992/03/01 by A. M. LYAPUNOV, A. M. Lyapunov · 63 citations
Engineering · #Control and Dynamics of Mobile Robots #Guidance and Control Systems #Control and Stability of Dynamical Systems

paper · doi:10.1080/00207179208934253

Abstract

(1992). The general problem of the stability of motion. International Journal of Control: Vol. 55, No. 3, pp. 531-534.

Cited by

• Stability Criteria for Switched and Hybrid Systems
• Computational Methods for Linear Matrix Equations
• The phenomenon of reversal in the Euler-Poincar `e-Suslov nonholonomic\n systems
• Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems
• DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS
• Finite-Time Synchronization of Fractional-Order Nonlinear Systems with State-Dependent Delayed Impulse Control
• Interpolation between Residual and Non-Residual Networks
• Lyapunov exponent, universality and phase transition for products of random matrices
• Smooth Morse-Lyapunov Functions and Morse Theory of Strong Attractors for Nonsmooth Dynamical Systems
• Meta Learning in the Continuous Time Limit
• Reset-Free Lifelong Learning with Skill-Space Planning
• OIM: Oscillator-based Ising Machines for Solving Combinatorial Optimisation Problems
• Regularity of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting
• Uncertainty in Neural Relational Inference Trajectory Reconstruction
• Learning the Arrow of Time
• ISCO, Lyapunov exponent and Kolmogorov-Sinai entropy for Kerr-Newman Black hole
• Optimal Sampling for Dynamic Complex Networks with Graph-Bandlimited Initialization
• Quantum Field Theory in Accelerated Frames
• Reinforcement learning in convergently non-stationary environments: Feudal hierarchies and learned representations
• Measures and LMI for space launcher robust control validation
• On Systemic Destruction of Human Locomotor System
• Reversible Architectures for Arbitrarily Deep Residual Neural Networks
• Equilibrium and Non-equilibrium Gross-Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization
• Stochasticity of Deterministic Gradient Descent: Large Learning Rate for Multiscale Objective Function
• Finite Time Stabilization of Nonautonomous First Order Hyperbolic\n Systems
• When do Trajectories have Bounded Sensitivity to Cumulative\n Perturbations?
• Non-uniform Small-gain Theorems for Systems with Unstable Invariant Sets
• Exponential Stability of Nonlinear Fractional Stochastic System with Poisson Jumps
• Switching Controller Synthesis for Delay Hybrid Systems under Perturbations
• Convex Computation of the Basin of Stability to Measure the Likelihood of Falling: A Case Study on the Sit-to-Stand Task
• Nonuniform Dichotomy Spectrum Intervals: Theorem and Computation
• Algebraic and Dynamic Lyapunov Equations on Time Scales
• Algebraic Relaxations and Hardness Results in Polynomial Optimization and Lyapunov Analysis
• Steady State Statistics of Emergent Patterns in a Ring of Oscillators
• Lyapunov Functions for First-Order Methods: Tight Automated Convergence Guarantees
• Description of Stability for Two and Three-Dimensional Linear Time-Invariant Systems Based on Curvature and Torsion
• Do planetary seasons play a fundamental role in attaining habitable climates?
• GOALS: Gradient-Only Approximations for Line Searches Towards Robust and Consistent Training of Deep Neural Networks
• On a theory of stability for nonlinear stochastic chemical reaction networks. [europepmc]
• The Maximum Lyapunov Exponent During Walking and Running: Reliability Assessment of Different Marker-Sets. [europepmc]
• Stability and predictability in human control of complex objects. [europepmc]
• On the convective heat and zero nanoparticle mass flux conditions in the flow of 3D MHD Couple Stress nanofluid over an exponentially stretched surface. [europepmc]
• Industrial Symbiosis Systems: Promoting Carbon Emission Reduction Activities. [europepmc]
• An Adaptive Sliding-Mode Iterative Constant-force Control Method for Robotic Belt Grinding Based on a One-Dimensional Force Sensor. [europepmc]
• Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences. [europepmc]
• Swaying slower reduces the destabilizing effects of a compliant surface on voluntary sway dynamics. [europepmc]
• A Novel Epidemic Model for Wireless Rechargeable Sensor Network Security. [europepmc]
• Epidemic Analysis of Wireless Rechargeable Sensor Networks Based on an Attack-Defense Game Model. [europepmc]
• Research on the Evolution of the Express Packaging Recycling Strategy, Considering Government Subsidies and Synergy Benefits. [europepmc]
• A Two-Steps-Ahead Estimator for Bubble Entropy. [europepmc]
• On the Importance of Being Flexible: Dynamic Brain Networks and Their Potential Functional Significances. [europepmc]
• Exploring an Efficient Evolutionary Game Model for the Government-Enterprise-Public during the Double Carbon Policy in China. [europepmc]
• A Comparative Study on the Influence of Undersampling and Oversampling Techniques for the Classification of Physical Activities Using an Imbalanced Accelerometer Dataset. [europepmc]
• SIRA: a model for propagation and rumor control with epidemic spreading and immunization for healthcare 5.0. [europepmc]
• How to promote the sustainable development of virtual reality technology for training in construction filed: A tripartite evolutionary game analysis. [europepmc]
• A tripartite game analysis of industrial structure upgrading and green development of regional economy: A case study of Shanxi Province, China. [europepmc]
• A three-player game model for promoting enterprise green technology innovation from the perspective of media coverage. [europepmc]
• On the Precise Link between Energy and Information. [europepmc]
• Evolutionary game analysis of data sharing among large and medium-sized enterprises in the perspective of platform empowerment. [europepmc]
• Deep learning resilience inference for complex networked systems. [europepmc]
• Flexibility of intrinsic neural timescales during distinct behavioral states. [europepmc]
• A Chaos Synchronization Diagnostic: Difference Time Series Peak Complexity (DTSPC). [europepmc]
• Concept transfer of synaptic diversity from biological to artificial neural networks. [europepmc]

Related

• Stability conditions of an ODE arising in human motion and its numerical simulation
• Structurally Stable Properties of Control Systems
• Stability and stabilization: Discontinuities and the effect of disturbances
• Solving dynamic equations by a semi-analytical method
• Convex Computation of the Basin of Stability to Measure the Likelihood of Falling: A Case Study on the Sit-to-Stand Task