Robust exponential stabilization results for impulsive neutral time-delay systems with sector-bounded nonlinearity
P Balasubramaniam, R Krishnasamy - Circuits, Systems, and Signal …, 2014 - Springer
Circuits, Systems, and Signal Processing, 2014•Springer
In this paper, the problem of robust exponential stabilization analysis for nonlinear neutral
systems with time-varying delays under impulsive control is addressed. Sufficient delay-
dependent exponential stabilization results are derived in terms of linear matrix inequalities
by constructing suitable Lyapunov–Krasovskii functional. The control gain matrices are
designed using impulsive state-feedback control approach. Also, the nonlinear function is
assumed to satisfy the sector-bounded condition which includes Lipschitz condition as a …
systems with time-varying delays under impulsive control is addressed. Sufficient delay-
dependent exponential stabilization results are derived in terms of linear matrix inequalities
by constructing suitable Lyapunov–Krasovskii functional. The control gain matrices are
designed using impulsive state-feedback control approach. Also, the nonlinear function is
assumed to satisfy the sector-bounded condition which includes Lipschitz condition as a …
Abstract
In this paper, the problem of robust exponential stabilization analysis for nonlinear neutral systems with time-varying delays under impulsive control is addressed. Sufficient delay-dependent exponential stabilization results are derived in terms of linear matrix inequalities by constructing suitable Lyapunov–Krasovskii functional. The control gain matrices are designed using impulsive state-feedback control approach. Also, the nonlinear function is assumed to satisfy the sector-bounded condition which includes Lipschitz condition as a special case. Further numerical examples are provided to show the effectiveness of the derived results.
Springer