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In this paper, the existence and uniqueness of positive solution for 2nth order Lidstone boundary value problems on time scales are obtained by using mixed monotone method. When the time scale T is chosen as R or Z, the problem is the corresponding continuous or discrete boundary value problem. Such boundary value problems play an important role in research of control theory.
In this paper, a novel control method is proposed for single-input single-output second-order nonlinear systems. The proposed controller guarantees the system reach to the sliding mode surface from any initial states and converge to origin along the surface in finite time while solving the problem of singularity. Compared with traditional fast terminal sliding mode (FTSM) controller, the proposed...
In this paper, we present adaptive tracking control designs for a class of constrained nonlinear systems with completely unknown constants. A Barrier Lyapunov Function (BLF) is adopted to protect this limit from being destroyed. By guaranteeing negative semi-definite of the BLF during the design process, we keep the constraint is not transgressed. Adaptive control is used to address the unknown constants...
In this paper, we devote to investigating the consensus-based unscented Kalman filtering problem for a certain kind of sensor networks with sensor saturations. The communication status among sensors is represented by a connected undirect graph. Saturation phenomenon exists both in the state of the system and individual sensors. Moreover, a distributed unscented Kalman filtering algorithm based on...
In this paper, we present some remarks on frequency weighted balanced truncation technique based on Schur-decomposition idea. In particular we show that two frequency weighted balanced truncation techniques [7], [9] based on Schur-decomposition idea are special cases of a more general technique introduced recently in [10], [11].
This paper studies the problem of H∞ filtering for Takagi-Sugeno (T-S) fuzzy delta operator system with time-varying delay. The time-varying delay is handled by input-output approach. Then a new transformed model is represented for filtering error system with H∞ performance index. By applying the Lyapunov stability theory and scaled small gain theorem, a criterion of asymptotic stability with H∞ performance...
This article proposes an efficient and reliable communication mechanism of mobile Agent based on the current communication mechanism of mobile Agent to combine mobile Agent name resolution mechanism with message transfer mechanism. The communication component of the domain server and mobile Agent system are combined to realize the mobile Agent communication. The message processing uses the message...
This article considers the finite-time stabilization problem for the "3 inputs, 2 chains, 1 generator" extented nonholonomic chained form system. By using the sep-by-sep design method and the finite-time stability theory, a multi-step stabilizer is proposed o make he corresponding closed-loop system is globally sable in a settled time. Finally, the simulation example show he correctness...
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