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Titlebook: Optimal Control, Stabilization and Nonsmooth Analysis; Marcio S. Queiroz,Michael Malisoff,Peter Wolenski Conference proceedings 2004 Sprin

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Nonuniqueness in Systems of Hamilton-Jacobi Equations,ere the Hamiltonian function, . ( . ) , is both convex and grows superlinearly in .. It is natural to consider how far these control theory methods can be extended to describe the solution of s y stems of Hamilton-Jacobi equations .     (2).,.where . and . are n-dimensional vectors and the Hamiltoni
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Interconnections of Monotone Systems with Steady-State Characteristics,sions regarding the complete system from properties of its building blocks. Following this paradigm, and motivated by questions in molecular biology modeling, the authors have recently developed an approach based on components which are monotone systems with respect to partial orders in state and si
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The Stabilization Problem: AGAS and SRS Feedbacks,ooth vector fields on . and where the control. = (. , ... , . ).belongs to the closed unit ball . in .. Throughout the paper, “smooth” means “of class .”. We let . denote the trajectory for (1) for the control . starting at . . Such a control system is said to be . at the point . (abbreviated GAC in
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Stabilization by Patchy Feedbacks and Robustness Properties,s, piecewise smooth vector fields (“patchy vector fields”) was introduced by the authors in a previous paper to construct discontinuous stabilizing feedbacks for globally asymptotically controllable systems. Here we study the stability of the corresponding solution set with respect to impulsive pert
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Control of Interconnected Nonlinear Systems: A Small-Gain Viewpoint,mically perturbed, decentralized, or discrete time forms. Both partial-state and output feedback control problems are considered. It is shown that assumptions required in related but independent work of others can be significantly relaxed. An application to underactuated ship control is shown as an
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