Controllability preservation in complex networks via minimal edge configurations.
Zhuo Sun1, Yifan Liu2, Rui Zhou1
1College of Information Engineering, Zhejiang University of Technology, Hangzhou, 310023, China.
Scientific Reports
|November 11, 2025
Summary
This study simplifies complex networked control systems by reducing connections while maintaining controllability. The framework enhances control efficiency and network structure for large-scale linear time-invariant (LTI) systems.
Area of Science:
- Control Theory
- Network Science
- Systems Engineering
Background:
- Networked control systems (NCS) are growing in scale and complexity.
- Optimizing controllability in large-scale linear time-invariant (LTI) networks is challenging.
Purpose of the Study:
- To propose a novel optimization framework for enhancing control efficiency in complex NCS.
- To reduce network complexity and the number of inter-node connections.
Main Methods:
- Leveraging exact controllability theory and matrix similarity transformations.
- Identifying node correspondences before and after similarity transformations.
- Developing a minimal-edge connection framework using Jordan canonical form.
Main Results:
- A strategy to minimize inter-node connections while preserving controllability.
- Effective simplification of network structure.
- Improved control efficiency in large-scale complex networks.
Conclusions:
- The proposed framework offers an effective approach to optimize controllability in complex NCS.
- Simplifying network topology enhances overall system performance and efficiency.
Related Concept Videos
01:23Stability of Equilibrium Configuration
771
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
771
01:14Conservation of Energy in Control Volume
1.1K
Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
1.1K
01:14Stability of structures
442
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
442
01:13Stability of Equilibrium Configuration: Problem Solving
969
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Problem-solving in the context of the stability of equilibrium configuration...
969
01:10Control Systems
1.8K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
At the heart...
1.8K
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.8K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.8K