Title :
Stability analysis of bilinear systems
Author :
Chen, L.K. ; Yang, X. ; Mohler, R.R.
Author_Institution :
Oregon State Univ., Corvallis, OR, USA
fDate :
11/1/1991 12:00:00 AM
Abstract :
The stability of the differential bilinear systems is studied. The authors consider time-varying bilinear systems with output feedback. The input or control u(t) is not only a signal but also an input with output feedback, i.e., u(t)=f(Y(t)). It is assumed that the feedback function f is in a function space which contains the class of linear functions, functions satisfying the Lipschitz condition, and quadratic functions
Keywords :
feedback; linear systems; nonlinear systems; stability; time-varying systems; Lipschitz condition; differential bilinear systems; output feedback; quadratic functions; stability; time-varying bilinear systems; Convergence; Differential equations; Dynamic programming; Heuristic algorithms; Jacobian matrices; Large-scale systems; Nonlinear systems; Optimal control; Optimization methods; Stability analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
