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130626 ||| eng |
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|a 9783540316374
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|a Gil, Michael I.
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245 |
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|a Explicit Stability Conditions for Continuous Systems
|h Elektronische Ressource
|b A Functional Analytic Approach
|c by Michael I. Gil
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250 |
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|a 1st ed. 2005
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2005, 2005
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300 |
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|a X, 190 p
|b online resource
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505 |
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|a Preliminaries -- Perturbations of Linear Systems -- Linear Systems with Slowly Varying Coefficients -- Linear Dissipative and Piecewise Constant Systems -- Nonlinear Systems with Autonomous Linear Parts -- The Aizerman Problem -- Nonlinear Systems with Time-Variant Linear Parts -- Essentially Nonlinear Systems -- The Lur'e Type Systems -- The Aizerman Type Problem for Nonautonomous Systems -- Input - State Stability -- Orbital Stability and Forced Oscillations -- Positive and Nontrivial Steady States
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653 |
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|a Mechanics, Applied
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653 |
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|a Complex Systems
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653 |
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|a Control, Robotics, Automation
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653 |
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|a Control theory
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653 |
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|a Systems Theory, Control
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653 |
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|a Multibody Systems and Mechanical Vibrations
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653 |
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|a System theory
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653 |
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|a Vibration
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653 |
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|a Control engineering
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653 |
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|a Robotics
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653 |
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|a Mathematical physics
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653 |
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|a Multibody systems
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653 |
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|a Automation
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653 |
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|a Theoretical, Mathematical and Computational Physics
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041 |
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|a eng
|2 ISO 639-2
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|b Springer
|a Springer eBooks 2005-
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|a Lecture Notes in Control and Information Sciences
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028 |
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|a 10.1007/b99808
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|u https://doi.org/10.1007/b99808?nosfx=y
|x Verlag
|3 Volltext
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|a 629.8
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520 |
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|a Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint
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