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New theories of set-valued differentials and new versions of the maximum principle of optimal control theory
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-0577-7openalex-snapshot
Mathematical Control Theory: Deterministic Finite Dimensional Systems
inferredcites →https://doi.org/10.1007/978-1-4757-6095-8_20openalex-snapshot
Multidifferential Calculus: Chain Rule, Open Mapping and Transversal Intersection Theorems
inferredcites →https://doi.org/10.1007/bfb0065313openalex-snapshot
Necessary conditions for optimal control problems with differentiable or nondifferentiable data
inferredcites →https://doi.org/10.1109/cdc.1999.832814openalex-snapshot
A maximum principle for hybrid optimal control problems
inferredcites →https://doi.org/10.1137/0314067openalex-snapshot
The Maximum Principle under Minimal Hypotheses
inferredcites →https://doi.org/10.1137/0321051openalex-snapshot
Optimization and Controllability without Differentiability Assumptions
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1201/9780203749319openalex-snapshot
Mathematical Theory of Optimal Processes
inferredcites →https://doi.org/10.2307/1911909openalex-snapshot
The Mathematical Theory of Optimal Processes
inferredcites →https://doi.org/10.2307/3006724openalex-snapshot
The Mathematical Theory of Optimal Processes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Optimization of switched interconnected positive systems under state dependent switching with dwell time
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Optimality Alternative: a Non-Variational Approach to Necessary Conditions
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A Pontryagin Maximum Principle for Systems of Flows
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Optimal Switching of 1-DOF Oscillating Systems
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Generalized Differentials, Variational Generators, and the Maximum Principle with State Constraints
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On Generalized Differential Quotients and Viability
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On Some Concepts of Generalized Differentials
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On perturbations of two convex set-valued functional equations
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Analysis and synthesis of switched linear control systems
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Stabilization and optimization of switched linear systems
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Commutators of flow maps of nonsmooth vector fields
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Set separation, approximating multicones, and the Lipschitz maximum principle
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.03.056openalex-snapshot
New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints
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On uniqueness of generalized differential quotients
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Space Trajectory Optimization and L1-Optimal Control Problems
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Needle Variations and Almost Lower Semicontinuous Differential Inclusions
inferred← citeshttps://doi.org/10.1023/b:joth.0000013565.78376.fbopenalex-snapshot
Carathéodory Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control
inferred← citeshttps://doi.org/10.1023/b:svan.0000023406.16145.a8openalex-snapshot
A Simple ‘Finite Approximations’ Proof of the Pontryagin Maximum Principle under Reduced Differentiability Hypotheses
inferred← citeshttps://doi.org/10.1080/00207179.2010.549843openalex-snapshot
Performance analysis and design of dynamic output feedback control for switched systems
inferred← citeshttps://doi.org/10.1109/.2005.1466982openalex-snapshot
Solution of Optimal Control Problems by Hybridization
inferred← citeshttps://doi.org/10.1109/acc.2002.1023908openalex-snapshot
Necessary and sufficient conditions for an optimal controlled switching problem
inferred← citeshttps://doi.org/10.1109/acc.2002.1025272openalex-snapshot
A local second- and third-order maximum principle
inferred← citeshttps://doi.org/10.1109/cdc.2000.912823openalex-snapshot
Set-valued differentials and the hybrid maximum principle
inferred← citeshttps://doi.org/10.1109/cdc.2001.980661openalex-snapshot
Set-valued differentials and a nonsmooth version of Chow's theorem
inferred← citeshttps://doi.org/10.1109/cdc.2002.1184522openalex-snapshot
Nonsmooth controllability theory and an example
inferred← citeshttps://doi.org/10.1109/cdc.2002.1185125openalex-snapshot
Warga derivate containers and other generalized differentials
inferred← citeshttps://doi.org/10.1109/cdc.2004.1428670openalex-snapshot
Combining high-order necessary conditions for optimality with nonsmoothness
inferred← citeshttps://doi.org/10.1109/cdc.2004.1428799openalex-snapshot
Optimal control of differential inclusions in infinite-dimensional spaces
inferred← citeshttps://doi.org/10.1109/cdc.2005.1582274openalex-snapshot
A very non-smooth maximum principle with state constraints
inferred← citeshttps://doi.org/10.1109/cdc.2005.1582478openalex-snapshot
Set transversality, approximating multicones, Warga derivate containers and Mordukhovich cones
inferred← citeshttps://doi.org/10.1109/cdc.2006.377350openalex-snapshot
On the validity of the transversality condition for different concepts of tangent cone to a set
inferred← citeshttps://doi.org/10.1109/cdc.2007.4434485openalex-snapshot
Set separation and the lipschitz maximum principle
inferred← citeshttps://doi.org/10.1142/9789812776075_0019openalex-snapshot
HIGH-ORDER POINT VARIATIONS AND GENERALIZED DIFFERENTIALS
inferred← citeshttps://doi.org/10.1142/9789812778079_0004openalex-snapshot
THE BRACHISTOCHRONE PROBLEM AND MODERN CONTROL THEORY
inferred← citeshttps://doi.org/10.23919/ecc.2007.7068827openalex-snapshot
GDQ criteria of viability for differential inclusions
inferred← citeshttps://doi.org/10.3166/ejc.8.56-63openalex-snapshot
On the Noether Theorem for Optimal Control
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.4345openalex-snapshot
Integral representations for bracket-generating multi-flows
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Optimization Problems for Controlled Mechanical Systems: Bridging the Gap between Theory and Application
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Regularization and bang-bang conjugate times in optimal control
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