منابع مشابه
Input-Output-to-State Stability
This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the IOSS property and the existence of a certain type of smooth Lyapunov fu...
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A notion of detectability for nonlinear systems is discussed. Within the framework of “input to state stability” (ISS), a dual notion of “output to state stability” (OSS), and a more complete detectability notion, “input-output to state stability” (IOSS) have appeared in the literature. This note addresses a variant of the IOSS property, using an integral norm to measure signals, as opposed to ...
متن کاملInput/Output and State-Space Stability
This paper first reviews various results relating state-space (Lyapunov) stabilization to notions of input/output or “bounded-input bounded-output” stabilization, and then provides generalizations of some of these results to the case of systems with saturating controls. 1 Various Notions of Stability Problems of stabilization underlie most questions of control design. In the nonlinear control l...
متن کاملSeparation Principles for Input-Output and Integral-Input-to-State Stability
We present new characterizations of input-output-to-state stability. This is a notion of detectability formulated in the ISS framework. Equivalent properties are presented in terms of asymptotic estimates of the state trajectories based on the magnitudes of the external input and These results provide a set of separation principles for input-output-to-state stability – characterizations of the ...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2001
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012999365352