Titlebook: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions; Yury Orlov Book 2020 Springer Nature Switzerland AG 2020 Lyapunov Stability

Preserve

宣稱

Benchmark Modelsand higher-order sliding modes in continuous- and discrete-time perspectives. In addition, the so-called chattering phenomenon is discussed, and sliding mode dynamics are exemplified in the infinite-dimensional?setting. Section?. involves into consideration of unilateral constraints and features spe

冷峻

Mathematical Background are introduced for finite-dimensional discontinuous (multi-valued) vector fields, and physical sense behind them is then revealed. The complementarity formulation of constrained Lagrange dynamics is discussed and implicit Euler integration?is involved in numerical simulations of such vector fields

Junction

Mathematical Tools of Dynamic Systems in Hilbert Spacesrabolic, elliptic, and hyperbolic types, strong, mild, and weak solutions are addressed for these equations. Mathematical tools, presented for their analysis, involve Sturm–Liouville operators and their properties as well as the powerful method of separation of variables. Viscosity?and proximal solu

AMOR

Modern Lyapunov Toolsfinite time stability?among others. To add universality, the Lyapunov approach is revisited in the infinite-dimensional setting and the exposition focuses on a broad class of dynamic systems, evolving in a Hilbert space. Multiple, semi-global, finite time stable, homogeneous, input-to-state stable L

反叛者

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Lyapunov-Based Tuninghed disturbances with a priori unknown bounds on their magnitudes. While SM control algorithms are well-recognized to be capable of rejecting matched disturbances of bounded magnitude, the relevant works assume typically that only such disturbances affect the underlying system. The objective of the

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Hyperplasia

Control Applicationsnthesis under unilateral constraints and for the energy control of a sine-Gordon PDE model with complex behavior of a continuum of nonlinear oscillators. The exposition of the chapter focuses on the control algorithms rather than their technical implementation, thus avoiding inconsistency with the g

Incorruptible