Author :
Zubov, Sergey V.
Author_Institution :
Dept. of Appl. Math. & Control Processes, St. Petersburg State Univ., Russia
Abstract :
Concerns a new concept of stability of rated motion of a system of ordinary differential equations. A rated motion need not be a solution of this system at all. Certain statements about rated stability, asymptotically rated stability and rated instability of zero motion of a system of ordinary differential equations are formulated and proved in terms of Lyapunov´s direct method
Keywords :
Lyapunov methods; differential equations; nonlinear dynamical systems; stability; Lyapunov´s direct method; asymptotically rated stability; ordinary differential equations; rated instability; rated motion; zero motion; Asymptotic stability; Automatic control; Control systems; Differential equations; Mathematics; Motion control; Nonlinear systems; Process control; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633531
