Wyniki wyszukiwania - BazTech

1

Projective synchronization of chaotic systems via backstepping design

Tarai A., Khan M. A.

International Journal of Applied Mechanics and Engineering

|

2013

|

Vol. 18, no. 3

965--973

EN

Chaos synchronization of discrete dynamical systems is investigated. An algorithm is proposed for projective synchronization of chaotic 2D Duffing map and chaotic Tinkerbell map. The control law was derived from the Lyapunov stability theory. Numerical simulation results are presented to verify the effectiveness of the proposed algorithm.

2

Application of Lyapunov equation to analysis of random vibration of structure with tuned mass dampers

Lewandowski R., Grzymisławska J.

Vibrations in Physical Systems

|

2008

|

Vol. 23

229--234

EN

In this paper the Lyapunov equation is used to analyse random vibration of building structure. The structures with mass dampers are considered. The excitation forces which are functions of fluctuations of wind velocity are treated as random forces. Lyapunov equation is used to determine root mean square of displacements. Results of example calculation are presented and briefly discussed.

3

Reduction of Large Circuit Models Via Low Rank Approximate Gramians

Li J. R., White J.

International Journal of Applied Mathematics and Computer Science

|

2001

|

Vol. 11, no 5

1151-1171

EN

We describe a model reduction algorithm which is well-suited for the reduction of large linear interconnect models. It is an orthogonal projection method which takes as the projection space the sum of the approximate dominant controllable subspace and the approximate dominant observable subspace. These approximate dominant subspaces are obtained using the Cholesky Factor ADI (CF-ADI) algorithm. We describe an improvement upon the existing implementation of CF-ADI which can result in significant savings in computational cost. We show that the new model reduction method matches moments at the negative of the CF-ADI parameters, and that it can be easily adapted to allow for DC matching, as well as for passivity preservation for multi-port RLC circuit models which come from modified nodal analysis.

4

J-energy preserving well-posed linear systems

Staffans O. J.

International Journal of Applied Mathematics and Computer Science

|

2001

|

Vol. 11, no 6

1361-1378

EN

The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).

5

Exact Observability of Diagonal Systems With a One-Dimensional Output Operator

Jacob B., Zwart H.

International Journal of Applied Mathematics and Computer Science

|

2001

|

Vol. 11, no 6

1277-1283

EN

In this paper equivalent conditions for exact observability of diagonal systems with a one-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (1994). The other conditions are given in terms of the eigenvalues and the Fourier coefficients of the system data.