Brief paper: Non-fragile H∞ filter design for linear continuous-time systems
Automatica (Journal of IFAC)
H∞ fuzzy control for systems with repeated scalar nonlinearities and random packet losses
IEEE Transactions on Fuzzy Systems
Multiobjective algebraic synthesis of neural control systems by implicit model following
IEEE Transactions on Neural Networks
Dissipative filtering for linear discrete-time systems via LMI
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays
Mathematical and Computer Modelling: An International Journal
Journal of Control Science and Engineering - Special issue on Advances in Methods for Control over Networks
l2-l∞ filtering for multirate nonlinear sampled-data systems using T-S fuzzy models
Digital Signal Processing
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This paper provides complete results on the filtering problem for a class of nonlinear systems described by a discrete-time state equation containing a repeated scalar nonlinearity as in recurrent neural networks. Both induced l2 and generalized H2 indexes are introduced to evaluate the filtering performance. For a given stable discrete-time systems with repeated scalar nonlinearities, our purpose is to design a stable full-order or reduced-order filter with the same repeated scalar nonlinearities such that the filtering error system is asymptotically stable and has a guaranteed induced l2 or generalized H2 performance. Sufficient conditions are obtained for the existence of admissible filters. Since these conditions involve matrix equalities, the cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem subject to linear matrix inequalities, which can be readily solved by using standard numerical software. If these conditions are feasible, a desired filter can be easily constructed. These filtering results are further extended to discrete-time systems with both state delay and repeated scalar nonlinearities. The techniques used in this paper are very different from those used for previous controller synthesis problems, which enable us to circumvent the difficulty of dilating a positive diagonally dominant matrix. A numerical example is provided to show the applicability of the proposed theories.