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This paper reveals a previously ignored problem for fractional order iterative learning control (FOILC) that the fractional order system may have different behaviors when it is initialized differently. To implement a novel scheme of FOILC for this so-called initialized fractional order system, a Dα-type control law is applied, and the convergence condition is derived by using the short memory principle...
A polynomial eigenvalue decomposition of paraher-mitian matrices can be calculated approximately using iterative approaches such as the sequential matrix diagonalisation (SMD) algorithm. In this paper, we present an improved SMD algorithm which, compared to existing SMD approaches, eliminates more off-diagonal energy per step. This leads to faster convergence while incurring only a marginal increase...
The inverse bilateral Laplace transforms of some prototype fractional-order transfer functions are studied. For each prototype transfer function, the inverse transform is attempted for different positions of the branch cut and various regions of convergence. It is seen that certain choices of the branch cut are required in order for the Bromwich integral for the inverse transform to be evaluated....
A two-dimensional variable-order fractional nonlinear reaction-diffusion model is considered. A second-order spatial accurate semi-implicit alternating direction method for a two-dimensional variable-order fractional nonlinear reaction-diffusion model is proposed. Stability and convergence of the semi-implicit alternating direct method are established. Finally, some numerical examples are given to...
For the phenomenon of premature occurred in the course of evolution of Hopfield neural network(HNN) and the slow convergence speed of Transient chaotic neural network(TCNN), a new blind detection algorithm based on composite sinusoidal chaotic neural network(CSCNN) is proposed in this paper. The presented algorithm experiences the process of coarse search based on chaos to fine search based on gradient...
This paper investigates the consensus problem of multi-agent systems with Euler-Lagrange dynamics, under uniform sampling and arbitrary nonuniform sampling schemes, respectively. Firstly, we propose a protocol using both position and velocity information, and study the consensus conditions. Then we extend the results to the case of applying the event-triggered strategy, and analyze the corresponding...
This paper considers the sliding mode control design problem for a nonlinear control system, and a new third-order sliding mode control approach is proposed. The advantage of the third-order sliding mode control lies in that the uncertainty of the nonlinear system can be bounded by a positive function rather than a constant. Then, the finite-time stability analysis is also proposed. Simulation results...
The fractional-order Hammerstein system is a cascading system composed of a static nonlinearity followed by a fractional-order linear dynamics, which is a typical nonlinear system satisfying the local Lipschitz condition, and exhibits quasi-linear properties. This paper combines the fractional-order iterative learning control (FOILC) and the fractional-order iterative learning identification (FOILI),...
A learning control scheme is designed for first-order bilinear parametric systems with unknown periodically time-varying delays. It is assumed that the common periodicity of unknown time-varying parameter, time-varying delay, and reference signal are known. By reconstructing the system equation, the time-varying delay is combined into a periodically time-varying vector which is estimated by a periodic...
Genetic algorithm (GA) and chaos theory is introduced in classical particle swarm optimization (PSO) to overcome its drawback such as being subject to being poor in performance of precision and falling into local optimization. To enhance the searching ability of arithmetic, the modified PSO uses the selection operator of GA to improve the fitness of the particle swarm. To prevent the prematurity of...
A recursive least-squares (LS) state-space identification method based on the QR decomposition is proposed for non-uniformly sampled-data systems. Both cases of measuring all states and only the output(s) are considered for model identification. For the case of state measurement, a QR decomposition-based recursive LS (QRD-RLS) identification algorithm is given to estimate the state matrices. For the...
For a class of linear discrete-time systems, a feedback feed-forward iterative learning control (ILC) scheme is proposed, which can guarantee the system is monotonically convergent along the iteration direction and is Bounded-Input Bounded-Output (BIBO) stable along the time direction. First, the feedback feed-forward iterative learning system is presented by a two-dimensional (2-D) Roesser model...
This paper presents a music emotion classification based on music highlight detection. To find a highlight segment of songs, we use only energy information based on ormalized MDCT coefficients of audio streams. With daBoost algorithm, the proposed tempo feature is combined with timbre features and improves the performance of music emotion classification based on the detected music highlight segment...
In a graph or a network G = (V, E), a set S ⊆ V is a 2-packing if ∀i ∊ V : |N[i]∩S| ≤ 1, where N[i] denotes the closed neighborhood of node i. A 2-packing is maximal if no proper superset of S is a 2-packing. This paper presents a safely converging self-stabilizing algorithm for maximal 2-packing problem. Under a synchronous daemon,...
In this paper, we propose two modified conjugate gradient methods, which produce sufficient descent direction at every iteration. The theoretical analysis shows that the algorithms are global convergence under some suitable conditions. The numerical results show that both algorithms are efficient for the given test problems from the Matlab library.
In this paper, the finite-time fault tolerant control (FTC) of attitude stabilization is developed for attitude dynamical system of a hypersonic unmanned aerial vehicle (UAV) with actuator loss-of-effectiveness (LOE) fault. First, the hypersonic UAV non-linear attitude dynamics are described. A finite-time controller is designed on the basis of nonsingular terminal sliding mode (NTSM) control technique...
To speed up convergence rate and improve local convergence in genetic algorithm, nonlinear adaptive crossover probability and mutation probability function are designed. They are based on the arctangent function with three parameters of maximal fitness, minimal fitness and average fitness. An improved adaptive genetic algorithm is proposed based on the two designed functions. Simulation results prove...
In this paper, a practical Identification strategy is applied to the optimal design of fractional-order iterative learning control (FOILC). The initialized fractional-order gray-box system with commensurate order or non-commensurate order is identified by using the fractional-order iterative learning Identification and the least square or instrumental variable method. The optimal Dα-type FOILC is...
Community detection has become a fundamental operation in numerous graph-theoretic applications. It is used to reveal natural divisions that exist within real world networks without imposing prior size or cardinality constraints on the set of communities. Despite its potential for application, there is only limited support for community detection on large-scale parallel computers, largely owing to...
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