Foundations of a theory of discontinuous systems. II

zbMath0299.93003MaRDI QIDQ1215341

M. A. Aĭzerman, Eh. S. Pyatnitskij

Publication date: 1974

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/at/y1974/i8/p39

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) General systems (93A10) Control/observation systems governed by ordinary differential equations (93C15)

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Control of nonlinear variable structure systems ⋮ Into higher dimensions for nonsmooth dynamical systems ⋮ Solutions leaving a codimension-\(2\) sliding ⋮ Stability and chaos for an adjustable excited oscillator with system switch ⋮ A survey on the modeling of hybrid behaviors: how to account for impulsive jumps properly ⋮ A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems ⋮ On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary ⋮ Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Brief comments for the continuation method by A. F. Filippov for solution continuation on a discontinuity set ⋮ Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system ⋮ On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems ⋮ The Ghosts of Departed Quantities in Switches and Transitions

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