Chattering linear systems: A model of rapidly oscillating coefficients

DOI10.1007/BF02551277zbMath0685.93050MaRDI QIDQ1262272

Zvi Artstein

Publication date: 1989

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

zbMATH Keywords

time-dependent

Mathematics Subject Classification ID

Controllability (93B05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Algebraic methods (93B25) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Model systems in control theory (93C99)

Cites Work

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• Stability, observability and invariance
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Convex analysis and measurable multifunctions
• Uniform controllability via the limiting systems
• Continuous dependence of solutions of differential equations on a parameter
• Discrete and Continuous Bang-Bang and Facial Spaces Or: Look for the Extreme Points
• A modified quadratic cost problem and feedback stabilization of a linear system

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