Hautus-Yamamoto criteria for approximate and exact controllability of linear difference delay equations
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Publication:6165956
DOI10.3934/dcds.2023049zbMath1519.39001arXiv2210.13590OpenAlexW4307664172MaRDI QIDQ6165956
Sébastien Fueyo, Guilherme Mazanti, Yacine Chitour, Mario Sigalotti
Publication date: 2 August 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13590
exact controllabilityapproximate controllabilityrealization theoryBézout's identitydifference delay equations
Controllability (93B05) Linear systems in control theory (93C05) Linear difference equations (39A06)
Cites Work
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- Stability and boundary stabilization of 1-D hyperbolic systems
- Stability of non-autonomous difference equations with applications to transport and wave propagation on networks
- On the zeros of exponential polynomials
- Linear autonomous neutral functional differential equations
- Problems and theorems in analysis. I. Series, integral calculus, theory of functions. Transl. from the German by Dorothee Aeppli
- Introduction to functional differential equations
- Controllability cost of conservative systems: resolvent condition and transmutation
- Null-controllability of linear hyperbolic systems in one dimensional space
- Approximate and exact controllability of linear difference equations
- Interpolations by bounded analytic functions and the corona problem
- Sets of Finite Perimeter and Geometric Variational Problems
- Pseudo-Rational Input/Output Maps and Their Realizations: A Fractional Representation Approach to Infinite-Dimensional Systems
- Reachability of a Class of Infinite-Dimensional Linear Systems: An External Approach with Applications to General Neutral Systems
- Function Space Controllability of Linear Retarded Systems: A Derivation from Abstract Operator Conditions
- Realization theory of infinite-dimensional linear systems. Part I
- Criteria for Function Space Controllability of Linear Neutral Systems
- Module Structure of Infinite-Dimensional Systems with Applications to Controllability
- Strong stabilization of neutral functional differential equations
- Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space
- On the Function Space Controllability of Linear Neutral Systems
- Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems
- Relative Controllability of Linear Difference Equations
- On the Corona Theorem and its Application to Spectral Problems in Hilbert Space
- Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference-Delay Equations
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