TY - GEN

T1 - A modified frequency-domain criterion for gradient-like behavior of discrete phase systems

AU - Smirnova, Vera B.

AU - Shepeljavyi, Alexander I.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - Asymptotic behavior of a class of multidimensional discrete control systems with periodic nonlinearities and denumerable set of equilibria is investigated. By means of discrete version of Yakubovich-Kalman theorem and certain modification of Lur'e-Postnikov function a frequency-domain criterion which guarantees that every solution of a system tends to an equilibrium is obtained.

AB - Asymptotic behavior of a class of multidimensional discrete control systems with periodic nonlinearities and denumerable set of equilibria is investigated. By means of discrete version of Yakubovich-Kalman theorem and certain modification of Lur'e-Postnikov function a frequency-domain criterion which guarantees that every solution of a system tends to an equilibrium is obtained.

KW - Discrete phase systems

KW - Frequency-domain criteria

KW - Gradient-like behavior

KW - Second Lyapunov method

KW - Yakubovich-Kalman theorem

UR - http://www.scopus.com/inward/record.url?scp=79960999420&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960999420

SN - 9783902661302

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 245

EP - 249

BT - 3rd IFAC Workshop "Periodic Control Systems", PSYCO'2007 - Final Program and Abstracts

T2 - 3rd IFAC Workshop "Periodic Control Systems"

Y2 - 29 August 2007 through 31 August 2007

ER -