Higher-order approximations of linear control systems via Runge-Kutta schemes

DOI10.1007/BF02684347zbMath0881.34024MaRDI QIDQ1362832

Roberto G. Ferretti

Publication date: 13 January 1998

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta schemesreachable setsdiscrete time approximations

Mathematics Subject Classification ID

Related Items (11)

Construction of reachable sets of controlled systems with second order of accuracy with respect to time step ⋮ Matrosov theorem for parameterized families of discrete-time systems ⋮ ROBUST ASYMPTOTIC CONTROLLABILITY UNDER TIME-VARYING PERTURBATIONS ⋮ A double-sided dynamic programming approach to the minimum time problem and its numerical approximation ⋮ Runge-Kutta methods for affinely controlled nonlinear systems ⋮ On the relationship between continuous- and discrete-time control systems ⋮ High Order Discrete Approximations to Mayer's Problems for Linear Systems ⋮ Higher-order numerical scheme for linear quadratic problems with bang-bang controls ⋮ Approximation of reachable sets by direct solution methods for optimal control problems ⋮ An efficient algorithm for Hamilton-Jacobi equations in high dimension ⋮ Higher order discrete controllability and the approximation of the minimum time function

Cites Work

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• Second order discrete approximations to strongly convex differential inclusions
• Parametrizations of integrals of set-valued mappings and applications
• Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
• Adaptive control of linearizable systems
• The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Difference Methods for Differential Inclusions: A Survey
• The existence and uniqueness of Volterra series for nonlinear systems

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