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Minimal reachability is hard to approximate
Abstract
In this note, we consider the problem of choosing, which nodes of a linear dynamical system should be actuated so that the state transfer from the system's initial condition to a given final state is possible. Assuming a standard complexity hypothesis, we show that this problem cannot be efficiently solved or approximated in polynomial, or even quasi-polynomial, time.Published versio- Article
- Science & technology
- Automation & control systems
- Engineering, electrical & electronic
- Engineering
- Approximation algorithms
- Computational complexity
- Controllability
- (non-)submodularity
- Sparse actuator placement
- Leader selection
- Limitations
- Systems
- Electrical and electronic engineering
- Applied mathematics
- Mechanical engineering
- Industrial engineering & automation