A new D-stability criterion of multiparameter singularly perturbed discrete systems
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications - Tập 49 Số 8 - Trang 1226-1230 - 2002
Tóm tắt
The stability and D-stability problems of the multiparameter singularly perturbed discrete-time systems and its reduced subsystems are explored in this paper. The critical stability criterion of the discrete system is adopted to examine the stability bounds. A three-step algorithm is proposed to determine an upper bound of the norm of the multiparameter vector /spl epsi/ = [/spl epsi//sub 1/ /spl epsi//sub 2/ /spl middot//spl middot//spl middot/ /spl epsi//sub N/]/sup T/. A numerical example is given to compare the new results with those in the literature.
Từ khóa
#Stability criteria #Upper bound #Equations #Uncertainty #Councils #Laboratories #Eigenvalues and eigenfunctions #CircuitsTài liệu tham khảo
10.1016/0022-247X(68)90116-9
10.1109/CDC.1987.272924
10.1049/PBCE034E
10.1016/0167-6911(92)90052-T
10.1109/TAC.1975.1100995
10.1109/9.45177
10.1109/MWSCAS.1991.251987
10.1016/0005-1098(81)90067-4
10.1137/0317006
10.1109/TAC.1987.1104624
10.1016/0005-1098(83)90052-3
10.1016/0167-6911(92)90115-9
lee, 1986, discrete optimal control with eigenvalue assigned inside a circular region, IEEE Trans Automatic Contr, 31, 958, 10.1109/TAC.1986.1104141
10.1109/TAC.1979.1102145
kokotovic, 1986, Singular Perturbation Methods in Control Analysis and Design
10.1109/81.563624