Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms
DOI10.1080/23311835.2016.1147932zbMath1438.34204OpenAlexW2272796825MaRDI QIDQ4966736
Publication date: 27 June 2019
Published in: Cogent Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/23311835.2016.1147932
two-sided boundsdifferential calculus of normslinear stochastic vibration system excited by white noise with output equationoutput-related covariance matrixoutput-related mean vector
Input-output approaches in control theory (93D25) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)
Cites Work
- Computing the maximum transient energy growth
- On the vibration-suppression property and monotonicity behavior of a special weighted norm for dynamical systems \(\dot x=Ax, x(t_0)=x_0\)
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Extension and further development of the differential calculus for matrix norms with applications.
- New upper bounds for free linear and nonlinear vibration systems with applications of the differential calculus of norms
- A relation between the weighted logarithmic norm of a matrix and the Lyapunov equation
- Differential calculus for \(p\)-norms of complex-valued vector functions with applications
- Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems
- Illustration of the logarithmic derivatives by examples suitable for classroom teaching
- Logarithmic derivative of a square matrix
- Minimization of norms and logarithmic norms by diagonal similarities
- A further remark on the logarithmic derivatives of a square matrix
- How Close Can the Logarithmic Norm of a Matrix Pencil Come to the Spectral Abscissa?
- Two-sided bounds on the mean vector and covariance matrix in linear stochastically excited vibration systems with application of the differential calculus of norms
- On norm equivalence between the displacement and velocity vectors for free linear dynamical systems
- Solving Ordinary Differential Equations I
- Two-Sided Bounds on the Displacement y(t) and the Velocity ý(t) of the Vibration Problem Mÿ+Bý + Ky = 0,y(t0)= y0,ý(t0) ý0= with Application of the Differential Calculus of Norms
- Matrix and other direct methods for the solution of systems of linear difference equations
- On Logarithmic Norms
- Logarithmic Norms for Matrix Pencils
- Differential calculus for the matrix norms |·|1 and |·|∞ with applications to asymptotic bounds for periodic linear systems
- Higher Order Logarithmic Derivatives of Matrices in the Spectral Norm
- Second Logarithmic Derivative of a Complex Matrix in the Chebyshev Norm
- Stability and Asymptotic Estimates in Nonautonomous Linear Differential Systems
- A Finite Series Solution of the Matrix Equation $AX - XB = C$
- The Matrix Equation $AX + XB = C$
- New upper bounds for excited vibration systems with applications of the differential calculus of norms
- Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms
- Differential calculus for some \(p\)-norms of the fundamental matrix with applications
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