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The proceedings of the 4thStability and Control Processes Conferenceare focused on modern applied mathematics, stability theory, and control processes. The conference was held in recognition of the 90thbirthday of Professor Vladimir Ivanovich Zubov (1930–2000).This selection of papers reflects the wide-ranging nature of V. I. Zubov’s work, which included contributions to the development of the qualitative theory of differential equations, the theory of rigid body motion, optimal control theory, and the theory of electromagnetic fields. It helps to advance many aspects of the theory of...