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Observability of nonlinear systems
Journal of Optimization Theory and Applications, 1972New necessary and sufficient conditions are presented for the observability of systems described by nonlinear ordinary differential equations with nonlinear observations. The conditions are based on extension of the necessary and sufficient conditions for observability of time-varying linear systems to the linearized trajectory of the nonlinear system.
John H. Seinfeld, M. Hwang
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Expansions for Nonlinear Systems*
Bell System Technical Journal, 1982In this paper we study operator-type models of dynamic nonlinear physical systems, such as communication channels and control systems. Attention is focused on the problem of determining conditions under which there exists a power-series-like expansion, or a polynomial-type approximation, for a system's outputs in terms of its inputs.
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The Behavior of Nonlinear Systems
Journal of the Aeronautical Sciences, 1956Many of the phenomena that occur in the world around us are governed by nonlinear relationships. In the development of the mathematical sciences, the difficulties of nonlinear analysis have hindered the formulation of nonlinear concepts that would permit us to understand such phenomena. In the present article, our progress in understanding the behavior
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Multidimensional nonlinear systems
Theoretical and Mathematical Physics, 1986The problem of the construction and of the integrability of systems of nonlinear partial differential equations in a multidimensional space is discussed. A proposed algebraic-geometric construction is illustrated for the example of completely integrable equations of the Bourlet type and their generalizations, for which, in particular, Bäcklund ...
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Control of Nonlinear Systems [PDF]
, 1993 Abstract : This research by the PI and his graduate students was on: (1) State- Space and I/O systems, (2) Systems with Saturated Control, (3) Discrete-Time Control, (4), Identification of Nonlinear systems and (5) I/O Equations. Twelve papers were published under this grant.
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Decoupling of nonlinear systems
Systems & Control Letters, 1982The decoupling of nonlinear systems by feedback is studied and the local or global aspect of obtained solutions is specified. The feedback laws are systematically calculated and our procedure is illustrated by practical examples.
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Controllability of nonlinear systems
Journal of Optimization Theory and Applications, 1977Some sufficient conditions are presented for the controllability of general nonlinear systems. First, the controllability problem is transformed into the problem of existence of fixed points for some operator; using Schauder's theorem, it is derived that a sufficient condition for controllability is the existence of a subsetS inCn+m (T) which is ...
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Journal of Mathematical Physics, 1980
Global mobility is defined and is found to be decisive for the structure of a physical system. The structure of some simple nonlinear systems is elucidated by studying their dynamical mobility. It is shown that due to an excessive mobility a nonlinear system may acquire some classical features.
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Global mobility is defined and is found to be decisive for the structure of a physical system. The structure of some simple nonlinear systems is elucidated by studying their dynamical mobility. It is shown that due to an excessive mobility a nonlinear system may acquire some classical features.
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