Explicit Stability Conditions for Continuous Systems
Springer Berlin (Verlag)
978-3-540-23984-0 (ISBN)
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.
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.
| Erscheint lt. Verlag | 17.3.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Control and Information Sciences |
| Zusatzinfo | X, 190 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 335 g |
| Themenwelt | Technik ► Elektrotechnik / Energietechnik |
| Schlagworte | Aizerman Problem • Continuous Finite Dimensional Systems • Control • control system • control systems • Freezing Method • Hardcover, Softcover / Technik/Bautechnik, Umwelttechnik • Hardcover, Softcover / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik • HC/Technik/Elektronik, Elektrotechnik, Nachrichtentechnik • Linear And Nonlinear Systems • Matriy-Valued Functions • nonlinear system • Positivity of Impulse Functions • stability • Stability Theory • Syst |
| ISBN-10 | 3-540-23984-7 / 3540239847 |
| ISBN-13 | 978-3-540-23984-0 / 9783540239840 |
| Zustand | Neuware |
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