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A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung
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Minimax, Liapunov and “bang-bang”
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A consequence of controllability
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Controllability of nonlinear systems
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On the Accessibility Problem in Control Theory
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Differential Geometry and the Calculus of Variations
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3 Singular Extremals
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8 The Pontryagin Maximum Principle
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On Certain Questions in the Theory of Optimal Control
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A Generalization of LaSalle’s “Bang-Bang” Principle
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Controllability and the Singular Problem
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Nonlinear Controllability via Lie Theory
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Contrôlabilité des Systèmes non Linéaires
inferredcites →https://doi.org/10.1137/0310012openalex-snapshot
High Order Necessary Conditions for Optimality
inferredcites →https://doi.org/10.1137/0310021openalex-snapshot
System Theory on Group Manifolds and Coset Spaces
inferredcites →https://doi.org/10.1137/0310036openalex-snapshot
The “Bang-Bang” Problem for Certain Control Systems in $GL(n,R)$
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The Mathematical Theory of Optimal Processes.
inferredcites →https://doi.org/10.2969/jmsj/01840398openalex-snapshot
Linear differential systems with singularities and an application to transitive Lie algebras

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A PARTIAL SURVEY OF THE USES OF ALGEBRAIC GEOMETRY IN SYSTEMS AND CONTROL THEORY
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Asymptotic feedback controllability of switched control systems to the origin
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Controllability of LTI switching systems using nonnegative inputs
inferred← citeshttps://doi.org/10.23919/ecc64448.2024.10590951openalex-snapshot
Examples of Constructing Exact Reachable Sets for Infinite Dimensional Control System
inferred← citeshttps://doi.org/10.31274/rtd-180813-12284openalex-snapshot
Practical feedback stabilization of nonlinear control systems and applications
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.1074openalex-snapshot
On properties of linear control systems on Lie groups
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Adaptive Systems: History, Techniques, Problems, and Perspectives
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On the minimum time function around the origin
inferred← citeshttps://doi.org/10.4064/ap-74-1-117-132openalex-snapshot
Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem
inferred← citeshttps://doi.org/10.4064/ba62-1-8openalex-snapshot
Local Controllability around Closed Orbits
inferred← citeshttps://doi.org/10.47749/t/unicamp.2020.1129167openalex-snapshot
An investigation on methods of determining salient-pole synchronous machines states and parameters
inferred← citeshttps://doi.org/10.48550/arxiv.1312.4181openalex-snapshot
A necessary and sufficient condition for local controllability around closed orbits
inferred← citeshttps://doi.org/10.48550/arxiv.1404.7336openalex-snapshot
Minimum-time strong optimality of a singular arc: the multi-input non involutive case
inferred← citeshttps://doi.org/10.48550/arxiv.1812.04850openalex-snapshot
The singular set and aspects of global control dynamics
inferred← citeshttps://doi.org/10.5802/crmath.538openalex-snapshot
Local controllability does imply global controllability
inferred← citeshttps://doi.org/10.68381/jca19057openalex-snapshot
On the Small-time Local Controllability
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Optimal Control of Weakly Forced Nonlinear Oscillators
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Some Algebraic Properties of Nonlinear Systems
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Reachability of Discrete Bilinear Systems
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