Theory of hidden oscillations and stability of control systems
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Publication:1995350
DOI10.1134/S1064230720050093zbMath1458.93195OpenAlexW3092159138MaRDI QIDQ1995350
Publication date: 23 February 2021
Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064230720050093
Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Chaos control for problems involving ordinary differential equations (34H10)
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Cites Work
- On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
- Computation of the phase detector characteristic of a QPSK Costas loop
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Localization of hidden Chua's attractors
- Computation of the phase detector characteristic of classical PLL
- Hidden attractors in dynamical systems
- The Lyapunov dimension and its estimation via the Leonov method
- Algorithm for constructing counterexamples to the Kalman problem
- Algorithm for localizing Chua attractors based on the harmonic linearization method
- A direct method for calculating Lyapunov quantities of two-dimensional dynamical systems
- Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
- On the Kalman problem
- Second-order counterexamples to the discrete-time Kalman conjecture
- Mathematical models of the Costas loop
- Convergent solutions of ordinary and functional-differential pendulum- like equations
- The frequency theorem (Kalman-Yakubovich lemma) in control theory
- Hidden chaotic sets in a Hopfield neural system
- Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates
- Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems
- Stability domain analysis of an antiwindup control system for an unstable object
- Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
- Hidden attractor in smooth Chua systems
- Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system
- Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
- On the Gardner problem for phase-locked loops
- Attractor dimension estimates for dynamical systems: theory and computation. Dedicated to Gennady Leonov
- Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
- Delayed feedback stabilization and the Huijberts-Michiels-Nijmeijer problem
- Dynamic programming for impulse feedback and fast controls. The linear systems case
- Stabilizing chaos with predictive control
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Scenario of the Birth of Hidden Attractors in the Chua Circuit
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- The double scroll
- On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
- Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
- Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems
- Deterministic Nonperiodic Flow
- Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory
- Controlling Dynamics of Hidden Attractors
- Nonlinear Analysis of Phase-locked Loop-Based Circuits
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