Journal of Applied Mechanics · 1966 · 711 citations · 0 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsMathematical PhysicsContinuous Dynamical SystemsContinuous SystemsMagnetohydrodynamicsSystems Of Differential EquationsContinuous-time Dynamical SystemsDifferential Equation FormulationSystem TheoryUniqueness In Systems Of Differential Equations
REVIEWSa mathematically unsophisticated audience, and so mathematical arguments for the most part proceed formally or are kept, on an intuitive level.On occasion, however, the unavoidable amount of imprecision which such an approach entails is compounded through carelessness.For example, the adjective "continuous" is used in a number of objectionable ways, not the least of which is the definition of a "continuous signal" as "any function of a continuous variable."In a somewhat different category is the incorrect assertion made in a footnote on p.48 to the effect that, a necessary condition for a differential equation to uniquely specify a system is that the system lie nonanticipative.Despite these critical comments, a reader armed with the appropriate mathematical caveats will find much of value in this book, which is likely to be successful as an introductory text on modern system theory.