Results 1 to 10 of about 83,867 (245)

Inverse and Direct Solutions of the Discrete Time Lyapunov Equation With System Matrix in Companion Form

IEEE Access, 2021
The discrete time Lyapunov equation is used in many applications and there is interest in its inverse and direct solutions. New methods are proposed to obtain solutions for cases where the system matrix is in controllable canonical form.
Apostolos Kanellakis, Ayman Tawfik, Panajotis Agathoklis   +2 more
doaj   +1 more source

Fast iterative solutions of Riccati and Lyapunov equations

Open Mathematics, 2022
In this article, new iterative algorithms for solving the discrete Riccati and Lyapunov equations are derived in the case where the transition matrix is diagonalizable with real eigenvalues.
Assimakis Nicholas, Adam Maria
doaj   +1 more source

Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation

Mathematics, 2022
In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
doaj   +1 more source

Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

مجلة بغداد للعلوم, 2023
            In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony.
hadeel G. Abd Ali, Mudhir A. Abdul Hussain   +1 more
doaj   +1 more source

New Schemes for Positive Real Truncation [PDF]

Modeling, Identification and Control, 2007
Model reduction, based on balanced truncation, of stable and of positive real systems are considered. An overview over some of the already existing techniques are given: Lyapunov balancing and stochastic balancing, which includes Riccati balancing.
Kari Unneland, Paul Van Dooren, Olav Egeland   +2 more
doaj   +1 more source

A Lyapunov Function For Logistic Equation On Time Scales

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat Hatipoğlu
doaj   +1 more source

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]

, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner, C.M. Newman, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, Ch. Dellago, D. Gupalo, D. Panja, D. Panja, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, F. Bonetto, G. Benettin, G. Paladin, G.P. Morriss, G.P. Morriss, Gary P. Morriss, H. van Beijeren, H. van Beijeren, H. van Beijeren, H.A. Posch, I. Shimada, J.-P. Eckmann, J.-P. Eckmann, Lj. Milanović, M. Dolowschiák, M.P. Wojtkowski, P. Gaspard, R. Livi, R. van Zon, R. van Zon, S. Sarman, S. Sastry, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, U. Dressler, W.G. Hoover, W.G. Hoover, Ya.G. Sinai   +43 more
core   +1 more source

Noise-Tolerant Zeroing Neural Network for Solving Non-Stationary Lyapunov Equation

IEEE Access, 2019
As a crucial means for stability analysis in control systems, the Lyapunov equation is applied in many fields of science and engineering. There are some methods proposed and studied for solving the non-stationary Lyapunov equation, such as the zeroing ...
Jingkun Yan, Xiuchun Xiao, Hongxin Li, Jiliang Zhang, Jingwen Yan, Mei Liu   +5 more
doaj   +1 more source

Exact Solution of selfconsistent Vlasov equation [PDF]

, 1997
An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically.
Morawetz, K.
core   +2 more sources

Robust Stability Analysis for a Perturbed Single-Area Power System Model

Cybernetics and Information Technologies, 2015
This research work investigates the derivation of a fixed upper matrix bound for the solution of one class of parameter-dependent Continuous Algebraic Lyapunov Equations (CALE).
Savov Svetoslav, Popchev Ivan
doaj   +1 more source