Stability-preserving model order reduction for linear stochastic Galerkin systems by Roland Pulch

Subjects: Get full text

Robust Stabilization and Observer-Based Stabilization for a Class of Singularly Perturbed Bilinear Systems by Ding-Horng Chen, Chun-Tang Chao, Juing-Shian Chiou

Subjects: “…Lyapunov equation…”
Get full text

Analysis and Prediction of Electric Power System’s Stability Based on Virtual State Estimators by Natalia Bakhtadze, Igor Yadikin

Subjects: Get full text

Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms by Igor Yadykin

Subjects: Get full text

JacLy: a Jacobian-based method for the inference of metabolic interactions from the covariance of steady-state metabolome data by Mohammad Jafar Khatibipour, Furkan Kurtoğlu, Tunahan Çakır

Subjects: Get full text

Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications by Viorica Mariela Ungureanu

Subjects: “…Lyapunov equations…”
Get full text

Spectral Decomposition of Gramians of Continuous Linear Systems in the Form of Hadamard Products by Igor Yadykin

Subjects: Get full text

A computationally effective time-restricted stability preserving H2-optimal model order reduction approach by Xin Du, Kife I. Bin Iqbal, M. Monir Uddin, Md. Tanzim Hossain, Md. Nazmul Islam Shuzan

Subjects: Get full text

A dual reduction strategy for reduce-order modeling of periodic control system by Mohammad-Sahadet Hossain, Muhtasim Alam Chowdhury, Md. Samiur Rahman

Subjects: Get full text

Karakterisasi Kestabilan Sistem Singular Dengan Teorema Lyapunov by Perpustakaan UGM, i-lib

“…Then, it will be repaired by the generalized Lyapunov equation which is similar to the original. The result of generalized Lyapunov equation is equivalent to the generalized Lyapunov equation which proposed by Takaba. …”

Stability analysis of 2‐D discrete and continuous state‐space systems by Apostolos Kanellakis, Ayman Tawfik, Panajotis Agathoklis

“…These results are based on the criteria first presented by Huang, De Carlo, Strintzis, Murray, Delsarte, et al. and on the discrete Lyapunov equation with complex elements for 2‐D systems. …”
Get full text

Sparsity as cellular objective to infer directed metabolic networks from steady-state metabolome data: a theoretical analysis. by Melik Öksüz, Hasan Sadıkoğlu, Tunahan Çakır

“…Since metabolome data are derived from the underlying metabolic network, reverse engineering of such data to recover the network topology is of wide interest. Lyapunov equation puts a constraint to the link between data and network by coupling the covariance of data with the strength of interactions (Jacobian matrix). …”
Get full text

Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics by Iivari Pietikäinen, Ondřej Černotík, Radim Filip

“…In many applications, linearised form of the interaction is used, which allows for the system dynamics to be fully described using a Lyapunov equation for the covariance matrix of the Wigner function. …”
Get full text

DETECTABILITY OF LINEAR DISCRETE TIME LINEAR SYSTEMS DEFINED BY POSITIVE OPERATORS by V.M. Ungureanu

“…We also extend a result in [1], which mainly state that, under detectability hypothesis, the considered linear discrete-time system is exponentially stable if and only if an associated Lyapunov equation has a bounded solution.…”
Get full text

Fast Computation of Optimal Damping Parameters for Linear Vibrational Systems by Nevena Jakovčević Stor, Ivan Slapničar, Zoran Tomljanović

“…Optimal viscosities are those for which the trace of the solution of the Lyapunov equation with the linearized matrix is minimal. …”
Get full text

Infinite horizon stable predictive control by Rossiter, J, Gossner, JR, Kouvaritakis, B

“…Also an alternative means of computing the implied infinite horizon GPC cost, avoiding the need for solving a Lyapunov equation, is presented. © 1996 IEEE.…”

New Schemes for Positive Real Truncation by Kari Unneland, Paul Van Dooren, Olav Egeland

“…For the suggested method, only one Lyapunov equation and one Riccati equation are solved in order to obtain positive real reduced order systems, which is less computationally demanding. …”
Get full text

Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts by Wei Wang, Chunyan Han

“…An optimal filter is constructed using a deterministic continuous‐time system with finite jumps, where the filter gains are determined by integrating a specific continuous‐time Riccati equation with finite jumps, based on a suitable algebraic Lyapunov equation. Compared with the discrete‐time filter, the optimal filter can provide the state estimates of the measurement sampling intervals and measurement sampling moments. …”
Get full text

LQR tuning of power system stabilizer for damping oscillations by Mustafa, Mohamad Wazir

“…In each step of this approach, I solve a first-order or asecond-order linear matrix Lyapunov equation for shifting unstable pole. This presented methodyields a solution, which is optimal with respect to a quadratic performance index. …”

Adaptive neural fault‐tolerant control of an uncertain 2‐DOF helicopter system with actuator faults and output error constrains by Liang Cao, Jian Zhang, Shuangyin Liu, Zhijia Zhao

“…The tan‐type barrier Lyapunov equation is used to solve the system's output error constraint. …”
Get full text