WebOct 31, 2024 · The Filippov systems theory is applied to selected problems from biology and chemical engineering. In particular, we explore (a) new formulation of Bazykin’s … WebThe theory of Filippov provides a generalized definition of the solution of switched systems in the sense that the definition holds for a larger class of differential equations, cf. …
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WebIn this work, we discuss some theoretical and numerical aspects of solving differential equations with discontinuous right-hand sides of Filippov type. In particular, (i) we … WebJan 1, 1979 · As the theory of bifurcations and chaos in low dimensions appear now to be coming of age, attention is turning to higher dimensions. This brings new challenges for the concept of solutions of a nonsmooth system with multiple dimensions and complex discontinuity geometries. ... (PI) controller based on Filippov theory and discusses the ... gilberto torres baseball
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WebMay 1, 2024 · By using the theory of Filippov system, we examine the existence of sliding region and pseudo equilibrium state. Main results show that the complex dynamic behaviors occur, such as the bistability of the disease-free equilibrium with one of the endemic states of subsystem or the newly appeared pseudo equilibrium, or the tri-stability of disease ... WebOct 29, 2009 · 1st order theory of Filippov and to pr opose second order correctio ns to the theory; to provide a systematic, and non-a mbiguous, way to define the vector field on the intersection of several WebJul 18, 2006 · On Certain Questions in the Theory of Optimal Control SIAM Journal on Control and Optimization. Home Journal of the Society for Industrial and Applied Mathematics Series A Control Vol. 1, Iss. 1 (1962) 10.1137/0301006. gilberto torres torres