RRNR 2027 develops the traditional scope of the series: mathematical foundations, modelling, analysis and synthesis of non-integer-order systems, and their applications.
01 · TheoryMathematical foundations of non-integer order calculus
Definitions and properties of non-integer-order operators, continuous and discrete calculus, differential and difference equations, special functions, variable-order operators, and numerical and approximation methods.
02 · ModellingDynamical-system modelling and identification
Continuous- and discrete-time models, state-space and transfer-function representations, memory models, parameter and order identification, operator approximation, and modelling of physical and industrial processes.
03 · AnalysisAnalysis of non-integer-order systems
Stability, controllability, observability, detectability, positivity, delayed systems, descriptor systems, and qualitative and structural properties of dynamical systems.
04 · ControlControl and closed-loop synthesis
Non-integer-order controllers, including PIλDμ structures, optimal, robust and adaptive control, closed-loop design, numerical realisation and real-time implementation.
05 · ApplicationsEngineering and interdisciplinary applications
Mechanics, electrical and electronic engineering, signal processing, thermal and diffusion processes, robotics, automation, biomedical engineering, electrochemistry, and other areas where model memory and nonlocality are important.