6 problems
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Sufficiency and necessity of De Bruijn graph LMIs for mode-independent stabilization
Let the system be in the mode-independent feedback setting, and let the LMIs associated with a De Bruijn graph of order be the conditions used to design stabilizin…
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Non-conservatism of the graph hierarchy for robust feedback stabilization
Let and let … Suppose that the switched system under consideration is robust feedback stabilizable. Non-conservatism conjecture. There exists an…
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The conjecture that local controllability implies the existence of a stabilizing control law
For the nonholonomic integrator (or Heisenberg system), consider the control system … A reasonable form of local controllability should imply the existence of a stabilizing control…
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Brockett's condition implies exponential composition-operator stabilization
Let overset{raisebox{0ex}{scalebox{0.45}{\bullet}}}{x} =f(x,u) be the control system under consideration. Brockett's condition means that the vector field is open at the o…
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Brockett's condition for general continuous feedback stabilization
Consider a control system overset{raisebox{0ex}{scalebox{0.45}{\bullet}}}{x} =f(x,u) and local asymptotic stabilizability by continuous feedback laws, without assuming uniquen…
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Convergence conjecture for the photon-number feedback model
Let be the photon state at step , evolving under the quantum map described in the source, and let be the fixed state obtained from the common eigen-state…