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A unified design for state and output feedback H control of nonlinear stochastic Markovian jump systems with state and disturbance-dependent noise. (English) Zbl 1192.93029
Summary: For a class of continuous-time nonlinear stochastic Markovian jump systems with state- and disturbance-dependent noise, both the state and output feedback H control problems are studied. Based on the solvability of a set of coupled Hamilton-Jacobi inequalities (HJIs), we give a unified design for both state and dynamic output feedback H control via a common function u(·,r t ) (i.e., u(x,r t ) is a state feedback H control, while u(x ^,r t ) is the desired output feedback H control).
93B36H -control
93C10Nonlinear control systems
93E03General theory of stochastic systems
60J75Jump processes