Research on Internal Resonance Mechanisms in Micromechanical Resonators and Their Application in Frequency Stabilization Background Introduction Micromechanical resonators play a crucial role in modern timekeeping and sensing devices due to their high frequency, high quality factor, and high sensitivity. However, the extremely low damping character...
Research on Secure Finite-Time Filter Design for Switched Fuzzy Systems Academic Background In modern control systems, switched systems and fuzzy systems have garnered significant attention due to their effectiveness in handling complex nonlinear dynamics. However, with the proliferation of networked systems, these systems face threats from sensor ...
Stochastic Response Spectrum Study of Nonlinear Systems: Introduction and Analysis Methods of Fractional Derivative Elements Academic Background In the fields of engineering and physics, nonlinear dynamic systems are widely used to model complex phenomena. However, predicting the response of these systems under stochastic excitation becomes highly ...
Academic Background In the fields of engineering and materials science, precise control of robotic manipulator displacement and force is crucial for studying the mechanical properties of materials, especially when dealing with objects exhibiting nonlinear viscoelastic deformation. For instance, in textiles, aerospace, medical, and energy production...
Background Introduction Complex systems are ubiquitous in nature, appearing in various forms such as neural networks, social networks, and power grids. Understanding the dynamical transitions within these systems is often achieved through mathematical models, particularly coupled nonlinear oscillators, which exhibit a wide variety of collective beh...
Background Introduction In modern engineering practices, under-actuated systems are widely used in fields such as overhead cranes, wheeled inverted pendulums, and snake robots due to their simple structure, low energy consumption, and high flexibility. However, the number of control inputs in under-actuated systems is less than the degrees of freed...
Academic Background With the increasing demand for high-speed and lightweight design in the aviation industry, more and more aviation transmission shaft systems have adopted supercritical design. Supercritical design means that the drive shaft must cross its first critical speed, but when crossing the critical speed, the shaft system will produce s...
Academic Background Complex Networks (CNs) play a crucial role in fields such as sociology, engineering, and natural sciences, and are widely applied in scenarios like power distribution, traffic dispatching, and multi-agent collaboration. However, due to factors such as communication packet loss, sensor noise, and environmental uncertainties, obta...
Academic Background In today’s complex network systems, state estimation is a critical issue, especially when dealing with uncertainties and noise. Complex networks typically consist of multiple interconnected nodes, and the dynamic behavior of each node may be influenced by nonlinear factors. The Takagi-Sugeno (T-S) fuzzy model has demonstrated si...
Background Introduction In aerospace engineering, thin laminated composite structures (such as wings) are prone to vibration under high-speed airflow, which may lead to instability phenomena such as flutter or divergence, affecting the safety and performance of aircraft. Particularly, when delamination (i.e., adhesive failure between layers) exists...