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This paper investigates the stochastic stability and stabilization problems of non-homogeneous Markov jump linear systems (NHMJLSs) characterized by instantly unconditionally time-varying transition rates (TRs). The novelty of the study lies in proposing a systematic method for achieving finite dimensional conditions with an acceptable degree of conservativeness for the stability and the stabilization...
This paper deals with the robust stochastic stability problem for a class of continuous-time semi-Markov jump linear systems. The system under consideration involves uncertainties both in the transition probabilities and in the system matrices. This new uncertain model generally removes limitations of the certain and time-constant transition rates of jump processes, thus it is appropriate for many...
A discrete-time sliding mode controller is introduced for controlling spatiotemporal chaos modeled by coupled map lattices. The controller which is designed based on Lyapunov function satisfies reaching law such that tracking problem is solved. This method can apply for all types of coupled map lattices. Simulation results reveal the feasibility of the control method.
During the last decades a considerable progress has been made in the design of stabilizing controllers for nonlinear systems with known and unknown model. Feedback linearization approach via coordinate transformation is considered to be useful to tackle the control problem. Usually however, feedback linearization control does not guarantee exact linearization and robustness in the presence of uncertainties...
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