Generalized state-dependent scaling: Backstepping for local optimality, global inverse optimality, and global robust stability

1999 ◽  
Author(s):  
Hiroshi Itot ◽  
Randy A. Freeman
Keyword(s):  
Robust Stability ◽  
Local Optimality ◽  
State Dependent ◽  
Inverse Optimality ◽  
Global Robust Stability ◽  
Generalized State

Robust stability analysis for delayed Cohen-Grossberg-type bidirectional associative memory neural networks with norm-bounded uncertainties

2009 ◽  
Vol 223 (5) ◽  
pp. 693-707
Author(s):  
Y Wang ◽  
P Hu
Keyword(s):  
Neural Networks ◽  
Associative Memory ◽  
Robust Stability ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Bidirectional Associative Memory ◽  
Parameter Uncertainties ◽  
Robust Stability Analysis ◽  
Global Robust Stability ◽  
Bounded Uncertainties

In this paper, the problem of global robust stability is discussed for uncertain Cohen-Grossberg-type (CG-type) bidirectional associative memory (BAM) neural networks (NNs) with delays. The parameter uncertainties are supposed to be norm bounded. The sufficient conditions for global robust stability are derived by employing a Lyapunov-Krasovskii functional. Based on these, the conditions ensuring global asymptotic stability without parameter uncertainties are established. All conditions are expressed in terms of linear matrix inequalities (LMIs). In addition, two examples are provided to illustrate the effectiveness of the results obtained.

Generalized state-dependent Erlangian queues: Speculations about calculating measures of effectiveness

1975 ◽  
Vol 12 (02) ◽  
pp. 358-363 ◽  
Author(s):  
B. W. Conolly
Keyword(s):  
Renewal Theory ◽  
Time Dependent ◽  
State Dependent ◽  
Measures Of Effectiveness ◽  
Generalized State

The provision of easily calculable measures of effectiveness for generalised Erlang queues (state-dependent parameters λn and μn of arrival and of service) motivates speculation about the applicability of renewal theory. The application envisaged is justified by known results for certain models and its extension to an operationally more promising system is proposed. Use of the formula ‘L = λW' with ‘effective’ λ calculated by foregoing methods is likewise shown to be justified by known results for certain models and hence its wider applicability is conjectured. Mechanisms are discussed which may provide improved models, and investigation is made of choices of λn and μn which may lead to time dependent solutions having a prescribed form. The example of panic buying is considered as an example.

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