Are delay-differential systems generically controllable?

DOI10.1007/s00498-022-00329-yzbMath1506.93010OpenAlexW4309081624MaRDI QIDQ2103954

Eberhard Oeljeklaus, Diederich Hinrichsen

Publication date: 9 December 2022

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-022-00329-y

zbMATH Keywords

well-posednessdelay systemsgenericitycontrollability conceptsdistance from uncontrollability

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by functional-differential equations (93C23) Linear systems in control theory (93C05) Delay control/observation systems (93C43)

Cites Work

• Time-delay systems. Lyapunov functionals and matrices
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• On approximate and exact null controllability of delay systems
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• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• The zero set of a real analytic function
• The set of controllable multi-input systems is generically convex
• Un analogue holomorphe du théorème de Lindemann
• The structured controllability radius of linear delay systems
• Behavioral Controllability of Delay-Differential Systems
• Mathematical Systems Theory I
• Necessary and Sufficient Conditions of Approximate Controllability for General Linear Retarded Systems
• Controllability and observability of linear delay systems: an algebraic approach
• Linear delay-differential systems with commensurate delays: an algebraic approach
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