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Paper details
Number 4 - December 2002
Volume 12 - 2002
Design of linear feedback for bilinear control systems
Vasiliy Ye. Belozyorov
Abstract
Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Keywords
system of ordinary quadratic differential equations, bilinear control system, linear control law, cone of stability,