A Scattering Theory Approach

Kailath, T. (1980). A Scattering Theory Approach. Linear Systems.

Type

Book

Intellectual base

Review or monograph

Year

1980

Link

https://openlibrary.org/isbn/9780135369616

Cited from

engineering_design

Cited by

6 citations across 6 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Controllability
  • A triple \((X, U, f)\) where \(X\) is the state space, \(U\) is the admissible-input space, and \(f: X \times U \to TX\) (vector field, continuous dynamics) or \(f: X \times U \to X\) (discrete dynamics) defines how inputs move state

    This sourceStandard graduate reference developing the state-space triple (A,B,C), controllability/observability, and canonical forms.

Domain-specific

• Hurwitz-Stable Matrix
  • It is not positive definiteness or symmetry; a nonsymmetric matrix can be Hurwitz.
• Linear dynamical system
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Proper transfer function
  • … convention, rational numerator and denominator in reduced form, pole and zero degrees, relative degree, proper or strictly proper class and realization or causality assumptions are explicit. to An applied instance preserves the same invariant under changed scale, notation, jurisdiction, dataset, or implementation..
• Redheffer Star Product
  • In control theory it expresses generalized feedback interconnections and linear fractional transformations.
• Stable polynomial
  • … and polynomial, continuous- or discrete-time convention, selected open stability region, treatment of degree and leading coefficient and location of every root with multiplicity are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

Verification

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Registry ID ref:d548a19d369c · see in the full table