Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Frequency-domain criteria for gradient-like behavior of phase control systems with vector nonlinearities. / Perkin, Aleksey; Smirnova, Vera; Shepeljavyi, Aleksandr .
2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC). 2009. p. 142-146.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Frequency-domain criteria for gradient-like behavior of phase control systems with vector nonlinearities
AU - Perkin, Aleksey
AU - Smirnova, Vera
AU - Shepeljavyi, Aleksandr
PY - 2009
Y1 - 2009
N2 - Asymptotic behavior of control systems with periodic vector nonlinearities and denumerable sets of equibliria is examined. Both continuous systems, described by ordinary differential equations, and discrete systems, described by difference equations, are considered. Certain generalization of periodic Lyapunov-type functions and sequences is offered. By means of generalized Lyapunov-type functions and Yakubovich-Kalman theorem new frequency-domain criteria which guarantee that every solution of the system tends to an equilibrium are obtained.
AB - Asymptotic behavior of control systems with periodic vector nonlinearities and denumerable sets of equibliria is examined. Both continuous systems, described by ordinary differential equations, and discrete systems, described by difference equations, are considered. Certain generalization of periodic Lyapunov-type functions and sequences is offered. By means of generalized Lyapunov-type functions and Yakubovich-Kalman theorem new frequency-domain criteria which guarantee that every solution of the system tends to an equilibrium are obtained.
U2 - 10.1109/CCA.2009.5280737
DO - 10.1109/CCA.2009.5280737
M3 - Conference contribution
SN - 9781424446018
SP - 142
EP - 146
BT - 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)
T2 - 2009 IEEE International Conference on Control Applications, CCA '09
Y2 - 8 July 2009 through 10 July 2009
ER -
ID: 4501690