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Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]
Sci RepMurad MAS +3 more
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Disentangling solvent effects on optical response via p-π and sp² lone-pair contributions in non-aromatic fused systems. [PDF]
Sci RepIbrahim M +4 more
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A controllability theory for nonlinear systems
IEEE Transactions on Automatic Control, 1971A Lyapunov-like approach to the controllability of nonlinear dynamic systems is presented. A theory is developed which yields sufficient conditions for complete controllability for some classes of nonlinear systems; feedback controllers which drive the systems to desired terminal conditions, at a specified final time, are also obtained.
Stanley B Gershwin, D Jacobson
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ON NONLINEAR INNER SYSTEMS AND CONNECTIONS WITH CONTROL THEORY
IFAC Proceedings Volumes, 2002This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed.
Petersen, Mark A., van der Schaft, Arjan
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Modeling Control and Forecasting Nonlinear Systems Based on Grey Signal Theory
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2023Based on this article, a fuzzy NN (neural network) based on the EBA (evolved bat algorithm) was developed to devise adaptive control with gray signal prediction to provide asymptomatic stability and increased driving comfort. The method is used to assess plant nonlinearity and to perform structural tracking of the signal.
Z. Y. Chen +3 more
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Stability of fuzzy control systems by using nonlinear system theory
Annual Review in Automatic Programming, 1992In this paper we consider fuzzy control system as nonlinear control systems. We present an unifying framework of methodologies and summarize three different methods. The first one is based on the geometrical interpretation of the system dynamic behaviour in the phase portrait.
A. García-Cerezo, A. Ollero, J. Aracil
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Theory and Design of PID Controller for Nonlinear Uncertain Systems
IEEE Control Systems Letters, 2019It is well-known that the classical proportional-integral-derivative (PID) controller plays a fundamental role in various engineering systems. However, up to now a theory that can explain the rationale why the linear PID can effectively deal with nonlinear uncertain dynamical systems and a method that can provide explicit design formula for the PID ...
Jinke Zhang, Lei Guo 0001
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Theory of chaos and control in a nonlinear optical system
Physics Letters A, 1994A parametric amplifier driven by a periodically pulsed pump field inside a cavity containing a Kerr nonlinearity may be modeled mathematically by a two-dimensional map. We investigate control of chaotic solutions of this model system using the OGY method.
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Differential Systems and Nonlinear Control Theory
IFAC Proceedings Volumes, 1995Abstract Techniques from exterior differential systems provide a powerful geometric tool for the study of nonlinear systems. This paper presents a sketch of the relevant ideas and indicates both the ways in which they have already made an impact in control as well as some areas of future application.
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