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Titlebook: Internal and External Stabilization of Linear Systems with Constraints; Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannu Book 2012 Sprin

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2324-9749 comprehensive foundation for a systematic analysis and desi.Most nonlinear systems can be modeled as linear systems with constrains on their inputs and selected outputs. Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and de
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A special coordinate basis (SCB) of linear multivariable systems,iginated in [ 138, 140, 141] and was crystallized for strictly proper systems in [139] and for proper systems in [132]. Our presentation of SCB here omits all the proofs that can be found in the literature.
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Robust semi-global internal stabilization,but still satisfies some of the basic properties as outlined in Sect. 2.6. One of the objectives of this chapter is to show in which respect the design methodologies such as low-gain and low-and-high-gain, which were described in detail in the previous chapter, still apply in case the saturation function has a different shape.
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Simultaneous internal and external stabilization in the presence of a class of non-input-additive says attainable via a nonlinear dynamic low-gain feedback law for all . ∈ [1, .) (i.e., for all disturbances whose “energy” vanishes asymptotically). In the case of open-loop neutrally stable system, this can be done via a linear state feedback law.
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Simultaneous internal and external stabilization in the presence of a class of non-input-additive sch a feedback control law can be determined such that: 1.In the absence of disturbances, the origin of the closed-loop system is globally asymptotically stable. 2.If the disturbances belong to the given set, the states of the closed-loop system are bounded for any arbitrarily specified initial conditions.
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