Continuous LTI input-output stable systems on \({L^P(\mathbb{R})}\) and \({\mathscr{D'}_{L^P}(\mathbb{R})}\) associated with differential equations: existence, invertibility conditions and inversion

DOI10.1007/s00034-021-01689-7OpenAlexW3137161638WikidataQ115389268 ScholiaQ115389268MaRDI QIDQ2699692

M. Ciampa

Publication date: 19 April 2023

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-021-01689-7

zbMATH Keywords

input-output stabilityinverse systemmathematical foundationsanalog signal processingcontinuous linear time-invariant systemsdistributional signals

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Realizations from input-output data (93B15)

Cites Work

• On minimality in the partial realization problem
• On the equivalence between stable inversion for nonminimum phase systems and reciprocal transfer functions defined by the two-sided Laplace transform
• On the characterization of Hankel and Toeplitz operators describing switched linear dynamic systems with point delays
• The superposition scandal
• On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays
• Bounded inputs and the representation of linear system maps
• An Introduction to Sparse Stochastic Processes
• The realization of inverse system for circuits containing nullors with applications in chaos synchronization
• A note on impulse response for continuous, linear, time-invariant, continuous-time systems
• Minimal partial realization by descriptor systems
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