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This article investigates the dynamic behaviors of delayed fractional-order memristive fuzzy cellular neural networks via the Lyapunov method. To address the delay terms of fractional-order systems, a novel lemma is provided to make the solutions of the systems exponentially stable. Furthermore, two new intermittent-hold controllers are designed to improve the robustness of the system and reduce the cost of the controller. One intermittent-hold controller is based on the feedback control strategy, while the other one integrates an adaptive control strategy. Moreover, two crucial theorems are derived from the proposed lemma and controllers, guaranteeing the exponential synchronization between drive and response systems. Finally, the superior performance of the controllers in achieving exponential synchronization is demonstrated through simulations. [ABSTRACT FROM AUTHOR]

Compared with the uniform arrays, the conformal array can effectively reduce the radar cross section and improve the utilization of the limited space in the aircraft. However, the special array structure aggravates the non-stationarity of the clutter, and the typical blocking matrix construction method in the space–time adaptive processing (STAP) is not appropriate any more. To address these issues, a reduced dimension STAP algorithm based on penalty sequential convex programming in the generalized sidelobe cancellation structure is proposed. The blocking matrix, channel selection vector and STAP weights can be optimized simultaneously in the algorithm framework. To tackle the resultant nonconvex problem, we formulate the original optimization function as a quasi-convex form and solve these parameters alternately within an iterative framework. Numerical simulations are provided to validate the proposed method and demonstrate its high performance. • Reduced dimension space-time adaptive processing for the conformal arrays. • Processing framework based on the generalized sidelobe cancellation. • Joint optimization of blocking matrix, channel selection and filter weights. • Solving resultant nonconvex problem with sequential convex programming. [ABSTRACT FROM AUTHOR]

The paper focuses on synchronization problems of a type of fractional-order complex systems with delays. First, a general exponential stability theorem is achieved by utilizing function of complex variable method and fractional-order calculus, which can handle a type of multiple delayed complex systems. Then, a novel intermittent-hold control is designed, which can reduce the information transmission by flexibly adjusting the control interval. Next, through the proposed theorem and controller, exponential synchronization results can be obtained by constructing simple Lyapunov functional. Meanwhile, the control gains can be calculated by linear matrix inequality. Finally, two simulations are given to show the effectiveness of the proposed results, and some comparisons with different control times and holding times verify the flexibility of control time selection. [ABSTRACT FROM AUTHOR]

The stability and synchronization problems are addressed in this study for the memristor-based fractional-order fuzzy cellular neural networks with multiple delays. By using the Laplace transform method, fractional-order calculus approach and the method of complex function, three exponential stability criteria are derived. Compared with the existing results of the above system, the novel exponentially stable and synchronization conditions are first proposed. The obtained results can be applied not only to fractional-order systems, but also to integer-order systems. A two-dimension example and a three-dimension example and a practical example are given to illustrate the validity and merits. [ABSTRACT FROM AUTHOR]

Abstract Memristive neural networks (MNN) have been wildly studied. Nevertheless, fractional -order memristive neural networks (FMNN) still remain a wide-open dilemma. This paper addresses the problem of FMNN systems with multiple delays and grew several related theories through the study. First, the existence of the system equilibrium point is investigated based on contraction mapping principle, and a new sufficient criterion is obtained. Second, the delay-free uniform stability of the system is discussed by employing differential inclusion theory. Third, a novel asymptotic stability criterion is proposed which is less conservative. Finally, one descriptive numerical example and simulation results emphasize the accuracy and reliability of the proposed results. [ABSTRACT FROM AUTHOR]