Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure

DOI10.1080/00207721.2011.570879zbMath1260.93081OpenAlexW2155190512MaRDI QIDQ4909027

Marco Tulio Angulo, Vadim Azhmyakov

Publication date: 12 March 2013

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2011.570879

zbMATH Keywords

differential inclusionsswitched systemsapproximabilitynonlinear affine control systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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Consistent approximations of the Zeno behaviour in affine-type switched dynamic systems ⋮ On the set-valued approach to optimal control of sliding mode processes ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability

Cites Work

• Approximability of nonlinear affine control systems
• Optimal control of impulsive hybrid systems
• Schwartz' distributions in nonlinear setting: Applications to differential equations, filtering and optimal control
• Higher-order techniques for some problems of nonlinear control
• Approximations of relaxed optimal control problems
• Strong convergence results related to strict convexity
• On the Regularization of Sliding Modes
• A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
• Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria
• Transition-Time Optimization for Switched-Mode Dynamical Systems
• Approximability Properties for Second-Order Sliding Mode Control Systems

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