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The adaptive linear quadratic problem of continuous-time linear jump systems with unknown jump parameter and stochastic disturbance is concerned in this paper, and jumping parameters can be described by finite-state Markov processes. A sufficient condition characterizing the stabilizability of the system is obtained, which hinges on the existence of a set of algebraic coupled Riccatic equations. A...
We propose a boundary state feedback control law for a one-dimensional connected string equation with general external disturbance entering the control end. Sliding mode control is adopted for investigation. There are two steps: A sliding surface is first found so that the system on the sliding surface is exponentially stable; and then a variable structure feedback control is designed to satisfy the...
In this article, we presents a stability method based on the eigenvalue problem of system matrix for incommensurate fractional-order nonlinear systems. Based on the stability theorems in fractional differential equations, the asymptotical stability of all existing equilibrium points are studied for incommensurate fractional-order non-chaotic Lotka-Volterra predator-prey system and fractional-order...
In this paper, we present a stability method for commensurate fractional-order nonlinear systems via linear matrix inequality (LMI) for Jacobian matrix of system at equilibrium point. Based on the direct Lyapunov stability theory, the asymptotical stability condition of all existing equilibrium points are studied for fractional-order nonlinear systems. The effectiveness of the proposed approach is...
In this paper, an innovative controller is proposed to compensate for both the nonlinear hysteresis and the vibration dynamics effects of a nanopositioning stage driven by piezoelectric actuators. With the increasing of operating bandwidth and range, large positioning errors are produced because of the hysteresis, vibration, external disturbance and noise, as well as uncompleted modeled dynamic errors...
Set stabilization for Boolean networks which is a kind of genetic regulatory networks is considered in this paper. An algorithm is provided to achieve the set stability for Boolean networks by changing the columns of the transition matrices of Boolean networks. Then, pinning nodes can be selected. Furthermore, pinning control design algorithm is given. Finally, the model for infection of the bacterium...
A novel nonlinear feedback control design methodology for incompressible fluid flows aiming at the optimisation of long-time averages of key flow quantities is presented. The key idea, first outlined in Ref. [1], is that the difficulties of treating and optimising long-time averages are relaxed by shifting the analysis to upper/lower bounds for minimisation/maximisation problems, respectively. In...
This article deals with the boundary feedback control of freeway traffic which is modelled by Aw-Rascle traffic flow model. By means of a Riemann invariants approach, we deduce stabilizing control laws of a single freeway segment. The stability condition is extended to a general class of hyperbolic systems which can describe freeway networks. The control laws design based on this conclusion are illustrated...
The chaos and its control by nonfeedback method in tethered satellite system are investigated in this paper. The chaos dynamical behavior of the system is judged by the sign of the top Lyapunov exponent. The Khasminskii's spherical coordinate formulation and the extension of Wedig's algorithm are used to compute the top Lyapunov exponent. It is shown that, the chaos can be suppressed by exerting a...
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