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IMA Journal of Mathematical Control and Information 1989 6(2):151-165; doi:10.1093/imamci/6.2.151
© 1989 by Institute of Mathematics and its Applications
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Generalizations of the Instability Theorem of Chetaev to Nonlinear Control Systems

J. TSINIAS

Department of Mathematics, National Technical University, Zografou Campus 157 73 Athens, Greece

In this paper, we generalize the well-known instability theorem of N.G. Chetaev concering instability of a differential equation, to derive sufficient conditions for instability at a specified equilibrium point of nonlinear systems that are affine in control.


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