Academic & Frontiers

Background The butterfly effect reveals that deterministic equations can produce essentially unpredictable states due to …

Background Modern automation involves the deep fusion of discrete decision-making and continuous physical execution. …

Background Problems like TSP, set cover, and knapsack involve search spaces that explode factorially or exponentially. …

Background Nyquist-Shannon sampling requires rates over twice the bandwidth. Compressive Sensing (CS) subverts this by …

Background Real physical systems in nature rarely follow a single physical law in isolation; rather, they are the result …

Background In many systems, control is applied as instantaneous impulses rather than continuous forces. Impulsive …

Background In safety-critical systems, testing cannot prove the absence of errors. Formal verification uses mathematical …

Background Traditional Discrete Fourier Transform (DFT) faces complexity limits with massive data. Quantum Fourier …

Background Switching systems consist of a set of continuous-time subsystems and a logic rule governing the switching …

Background Real-world dynamical systems are constantly subject to noise—atmospheric turbulence, financial shocks, …