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It can be shown that kLP k1 > 1 for h > 0:115. Hence the test fails to detect the stability of this uncertain delay system. IV. CONCLUSIONS All results presented in the previous section can be generalized to synthesis of uncertain delay systems. In fact, we can also include other types of uncertainties and disturbances easily using the general linear… (More)
Neutral stochastic differential delay equations (NSDDEs) have recently been studied intensively (Given that many systems are often subject to component failures or repairs, changing subsystem interconnections and abrupt environmental disturbances etc., the structure and parameters of underlying NSDDEs may change abruptly.
The stochastic mean-square ltering problem for dynamic systems with delay is considered. The state-space representation for optimal lter is obtained. The optimal algorithm contains a system of functional partial diierential equations. Simpliied algorithms for solving the ltering problem are proposed. With the help of the theory of duality for convex… (More)