Results 61 to 70 of about 36,359 (205)
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.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
Stabilizability,Observability and Detectability for Discrete Stochastic Systems
Journal of Measurement Science and Instrumentation, 2010 This paper mainly discusses stabilizatbility,exact observability and exact detectability of discrete stochastic systems with both static and control dependent noise via the spectrum technique.The authors put forward a definition of the spectrum and give ...
Meng LI, Hui-ying SUN, Min SANG
doaj
Attenuation of Line Spectra and Vibration Based on a Chaotification Method and Global Analysis
Shock and Vibration, 2022 The chaotification method can be used to weaken the line spectra component of the ship's radiated noise. The main obstacle that plagues the engineering realization of this innovative concept is how to realize the small-amplitude chaotic motion of the ...
Zhao-Lun Zuo, Xiang Yu, Shi-Jian Zhu
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Numerical solution of stable generalized complex Lyapunov equations
Journal of Engineering Sciences and Innovation, 2022 Generalized Lyapunov equations are often encountered in systems theory, analysis and design of control systems, and in many applications, including balanced realization algorithms, procedures for reduced order models, or Newton methods for generalized algebraic Riccati equations. An important application is the computation of the Hankel singular values
openaire +1 more source
An increasing rank Riemannian method for generalized Lyapunov equations
, 2023 In this paper, we consider finding a low-rank approximation to the solution of a large-scale generalized Lyapunov matrix equation in the form of $A X M + M X A = C$, where $A$ and $M$ are symmetric positive definite matrices. An algorithm called an Increasing Rank Riemannian Method for Generalized Lyapunov Equation (IRRLyap) is proposed by merging the ...
Huang, Zhenwei, Huang, Wen
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Synchronization of coupled nonidentical dynamical systems
, 2011 We analyze the stability of synchronized state for coupled nearly identical dynamical systems on networks by deriving an approximate Master Stability Function (MSF).
Acharyya, Suman, Amritkar, R. E.
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao +3 more
wiley +1 more source
Solving rank structured Sylvester and Lyapunov equations
, 2018 We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and the right-hand side have low-rank off-diagonal blocks.
Massei, Stefano +2 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source
On Uniqueness of Strong Solution of Stochastic Systems
Abstract and Applied Analysis, 2014 A kind of the well-known matrix Riccati equations which arise in certain stochastic optimal problems is investigated. With the aid of the operator spectrum and the generalized Lyapunov equation approach, we give a sufficient condition for existence and ...
Gang Li, Ming Chen
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