Results 11 to 20 of about 35,286 (235)
Discrete & Continuous Dynamical Systems - A, 2020 The approximation of the value function associated to a stabilization problem formulated as optimal control problem for the Navier-Stokes equations in dimension three by means of solutions to generalized Lyapunov equations is proposed and analyzed. The specificity, that the value function is not differentiable on the state space must be overcome.
Tobias Breiten, Karl Kunisch
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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
Vasile Sima
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ON THE SENSITIVITY OF THE SOLUTION OF THE GENERALIZED LYAPUNOV EQUATION [PDF]
Korean Journal of Mathematics, 2013 Summary: Some results on the sensitivity of the solution of the generalized Lyapunov equation \[ A^{n-1}X + A^{n-2}XA^{\ast} + \cdots + X (A^{\ast})^{n-1} = B \] are shown follow easily from well-known theorems in functional analysis.
Hosoo Lee
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An increasing rank Riemannian method for generalized Lyapunov equations [PDF]
, 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 ...
Zhenwei Huang, Wen Huang
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Structural Spectral Methods of Solving Continuous Generalized Lyapunov Equation
Avtomatika i telemehanikazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Igor B. Yadykin, I. A. Galyaev
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Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos [PDF]
EntropyThis paper examines the nonlinear behavior of the generalized stochastic intermediate dispersive velocity (SIdV) equation, which has been widely analyzed in a non-noise deterministic framework but has yet to be studied in any depth in the presence of ...
Samad Wali +4 more
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Efficient low-rank solution of generalized Lyapunov equations
Numerische Mathematik, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shank, Stephen D. +2 more
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Stability and inertia theorems for generalized Lyapunov equations
Linear Algebra and its Applications, 2002 The author considers the continuous-time Lyapunov equation \(E^*XA+A^*XE=-G\) and its discrete-time analog \(A^*XA-E^*XE=-G\) with given matrices \(E\), \(A\), \(G\) and unknown matrix \(X\). Such equations arise in control problems, stability theory for differential and difference equations and in problems of spectral dichotomy.
Tatjana Stykel
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Entropy, 2023 We studied the dynamical behaviors of degenerate stochastic differential equations (SDEs). We selected an auxiliary Fisher information functional as the Lyapunov functional.
Qi Feng, Wuchen Li
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Applied Sciences, 2023 This study proposes a new approach to realize generalized function projective synchronization (GFPS) between two different chaotic systems with uncertain parameters.
Bin Zhen, Yu Zhang
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