In this paper, the ultimately exponentially bounded estimate problem of nonlinear stochastic discrete−time systems under generalized Lipschitz conditions is considered. A new sufficient condition making estimation error system uniformly in mean square sense given. The gain matrix can be obtained by solving inequality. last section, numerical examples are provided verify effectiveness conclusions.

This paper studies the separation principle for a class of nonlinear timevarying dynamical systems whose dynamics are in general bounded in time. The resultant observer-based state feedback control guarantees practical stability of the state oscillation given that the system is both uniformly controllable and observable. Our separation principle relies on stability results for cascades systems.

The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...

This study considers the problem of fault estimation for rigid satellite in presence external disturbances, parameter perturbations, and actuator time-varying faults. Firstly, a Takagi-Sugeno (T-S) fuzzy model with interval matrix attitude system under large angle scope is established, along detailed analysis faults terms additive multiplicative descriptions. Then, novel adaptive observer adjus...