Minimal realizations and canonical forms for bilinear systems

DOI10.1016/0016-0032(76)90080-6zbMath0335.93021OpenAlexW1992094168MaRDI QIDQ1229648

Héctor J. Sussmann

Publication date: 1976

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(76)90080-6

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Minimal systems representations (93B20) Realizations from input-output data (93B15)

Related Items

Minimal realizations of the matrix transition Lie group for bilinear control systems: Explicit results, Geometric control theory, Some classification problems for control systems and the similarity problem for sets of square matrices, Geometrical and topological methods in optimal control theory, Positive-controllability, positive-near-controllability, and canonical forms of driftless discrete-time bilinear systems, Canonical forms and invariants of some classes of control systems, Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series, Observability of linear and bilinear systems in a Hilbert space, Existence and uniqueness of minimal realizations of nonlinear systems, Synthesis of nonlinear observers: A harmonic-analysis approach, On controllability of discrete-time bilinear systems, Single-input observability of continuous-time systems, Computation, on Macsyma, of the minimal differential representation of noncommutative polynomials, Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives, Differential-geometric and group-theoretical methods in optimal control theory

Cites Work

• Realization and Structure Theory of Bilinear Dynamical Systems