Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry

DOI10.1007/BF00938213zbMath0586.93032WikidataQ57979263 ScholiaQ57979263MaRDI QIDQ1072505

J. T. Aslanis, Otomar Hájek, Kenneth A. Loparo

Publication date: 1987

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

variable structure systemsswitched linear systemsgeometry of cyclesopposition point

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Controllability, observability, and system structure (93B99)

Related Items (7)

Geometrical and topological methods in optimal control theory ⋮ Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching ⋮ BIFURCATION ANALYSIS OF DIFFERENTIAL-DIFFERENCE-ALGEBRAIC EQUATIONS ⋮ A modeling strategy for hybrid systems based on event structures ⋮ Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems ⋮ Control of a hybrid conditionally linear Gaussian process ⋮ Analysis of switched linear systems in the plane. II: Global behavior of trajectories, controllability, and attainability

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