A Harmonic Framework for Controllability in Linear Continuous-Time Periodic Systems
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Summary
This approach reveals that controllability of continuous-time periodic systems can be connected to necessary and sufficient conditions expressed explicitly with Fourier coefficients of the system matrices, which can be interpreted in a way similar to what has been seen in linear time-invariant cases.
- Type
- article
- Published
- 2007-04-01
- Cited by
- 9
- References
- 43
- OpenAlex
- https://openalex.org/W2005187323
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:33764308
Keywords
Controllability, Mathematics, Linear system, Controllability Gramian, LTI system theory
References
- The Riccati equation
- Industrial Control Systems Design
- Functional Analysis and Linear Operator Theory
- Linear differential equations with periodic coefficients
- Linear Robust Control
- Linear System Theory
- Research on system zeros: a survey
- Linear Multivariable Control: A Geometric Approach
- Classes of Linear Operators
- Transient stability of power systems: Theory and practice
- Analysis and control of linear periodically time varying systems
- Essentials of Robust Control
- Real Floquet factors of linear time-periodic systems
- Stabilizability and detectability of linear periodic systems
- Technical Communique: Zeros of Continuous-time Linear Periodic Systems
- Periodic Systems: Controllability and the Matrix Riccati Equation
- Controllability of periodic systems: continuous and discrete
- The control of linear time-periodic systems using Floquet–Lyapunov theory
- On the Structure Theory of Linear Differential Systems
- Pole placement capabilities of vibrational control
Cited by
- Controllability and (ir-)reducibility of Floquet factorizations in continuous-time periodic systems
- Contraposition 2-Regularized Nyquist Stability Criteria for Linear Continuous-Time Periodic Systems
- Floquet factorization algorithms in linear continuous-time periodic systems
- Average Floquet factorisations in linear continuous-time periodic systems
- Classification and characteristics of Floquet factorisations in linear continuous-time periodic systems
- Floquet Factorization Variants in Linear Continuous-Time Periodic Systems
- Zeros and Poles of Linear Continuous-Time Periodic Systems: Definitions and Properties
- Controllability discrepancy and irreducibility/reducibility of Floquet factorisations in linear continuous-time periodic systems
- Pointwise frequency responses framework for stability analysis in periodically time-varying systems
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