Title :
Stability of inclusions of linear type
Author :
Barabanov, Nikita E.
Author_Institution :
Dept. of Software Eng., St. Petersburg Electr. Eng. Univ., Russia
Abstract :
Introduces several new concepts for the differential inclusions of linear type. The main result concerns the existence of an extremal norm for nonsingular inclusions. It allows the author to present the numerical algorithm for calculating the Lyapunov index up to arbitrary accuracy. For 3-ordered automatic control systems the author describes all extremal solutions and in such a way the author solves the problem of absolute stability in terms of coefficients of transfer functions
Keywords :
absolute stability; matrix algebra; transfer functions; 3-ordered automatic control systems; Lyapunov index; absolute stability; differential inclusions; extremal norm; extremal solutions; nonsingular inclusions; numerical algorithm; transfer functions; Asymptotic stability; Automatic control; Controllability; Measurement uncertainty; Observability; Robust stability; Stability criteria; Testing;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532231
