Title :
Relative stability of a linear time-varying process with first-order nonlinear time-varying feedback
Author_Institution :
Dept. of Mech. Eng., Osmania Univ., Hyderabad, India
fDate :
2/1/1995 12:00:00 AM
Abstract :
A method of establishing sufficient conditions for the stability of a system consisting of a time-varying linear process and a first-order nonlinear time-varying feedback is presented. Rate of decay of unforced response and BIBO stability can also be determined. The governing equation of the system is represented in the form of an integro-differential equation, so that a modified form of the Lyapunov-Razumikhin-type condition can be applied. The first part of the paper deals with stability of vector functional equations. The results obtained are applied to feedback systems. An example is worked out to show the applicability of the results obtained
Keywords :
asymptotic stability; integro-differential equations; linear systems; nonlinear control systems; time-varying systems; BIBO stability; Lyapunov-Razumikhin-type condition; decay rate; first-order nonlinear time-varying feedback; integro-differential equation; linear time-varying process; relative stability; sufficient conditions; vector functional equations; Adaptive control; Differential equations; Feedback; Integrodifferential equations; Nonlinear equations; Stability criteria; Sufficient conditions; Time varying systems; Upper bound; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
