§2-1 Newton’s Laws Force Inertial Reference Frame 牛顿定律 力的概念 惯性参考系 §2-2 General Properties of Forces in Mechanics 力的基本性质 §2-4 Fundamental Quantities and Units Dimensions ﹡基本量和力学单位制 量纲 §2-5 Applying Newton’s Law of Motion 牛顿定律应用 §2-3 The Fundamental Forces of Nature ﹡ 四种基本力

《大学物理教程》课程教学资源（PPT课件讲稿，上册）第八章 狭义相对论 §8.4 狭义相对论动力学基础 §8.5 狭义相对论的意义和局限

he variable t is usually referred to as the\time Note the use of an integral form in the formal definition(2.2): it assumes that the function tHa(a(t), t)is integrable on T, but does not require =a(t)to be differentiable at any particular point, which turns out to be convenient for working with discontinuous

Definition A real-valued function V: X H R defined on state space X of a system with behavior set B and state r:B×[0,∞)→ X is called a Lyapunov function if tHv(t)=v(a(t))=v(a(z(), t)) is a non-increasing function of time for every z E B according to this definition, Lyapunov

In particular, when o=0, this yields the definition of a Lyapunov function Finding, for a given supply rate, a valid storage function(or at least proving that one exists)is a major challenge in constructive analysis of nonlinear systems. The most com-

This lecture presents results describing the relation between existence of Lyapunov or storage functions and stability of dynamical systems 6.1 Stability of an equilibria

where f:R\×Rn×R→ R\ and g:R\×R\×R→ R are continuous functions. Assume that f, g are continuously differentiable with respect to their first two arguments in a neigborhood of the trajectory co(t), yo(t), and that the derivative

Lyapunov analysis, which uses monotonicity of a given function of system state along trajectories of a given dynamical system, is a major tool of nonlinear system analysis It is possible, however, to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior. This lecture gives an introduction to suc methods

在上世纪初,发生了三次概念 上的革命,它们深刻地改变了人们 对物理世界的了解,这就是狭义相 对论(1905)、广义相对论(1916) 和量子力学(1925)

§10–1 动力学的基本定律 §10–2 质点的运动微分方程