The stability for uncertain nonlinear neutral systems with time-delays

In this paper, the state observer design is considered for a class of nonlinear neutral delay system with nonlinear uncertainty based on Lyapunov stability theory. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition is presented for the existence of a linear...

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description In this paper, the state observer design is considered for a class of nonlinear neutral delay system with nonlinear uncertainty based on Lyapunov stability theory. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition is presented for the existence of a linear feedback from interference input to control output. The less delay-dependent sufficient stability conditions for these systems in terms of linear matrix inequalities (LMI) are derived. By solving a linear matrix inequation, we can obtain the controller of this system. An illustrative example is given to show the effectiveness of the proposed method.
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On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition is presented for the existence of a linear feedback from interference input to control output. The less delay-dependent sufficient stability conditions for these systems in terms of linear matrix inequalities (LMI) are derived. By solving a linear matrix inequation, we can obtain the controller of this system. 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subjects Control systems
Control theory
Electronic mail
Linear matrix inequalities
linear matrix inequation (LMI)
Nonlinear dynamical systems
Robustness
stability
Stability analysis
time-delay
uncertainty nonlinear neutral system
title The stability for uncertain nonlinear neutral systems with time-delays
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