On Input-to-Output Stability for Systems not Uniformly Bounded

Ingalls, Brian; Wang, Yuan

doi:10.1016/s1474-6670(17)35296-5

Cited by 25 publications

(70 citation statements)

References 15 publications

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“…New characterizations for versions of this property for finite-dimensional continuous-time systems were given in [7]. The following definition extends the notion of URGAOS to hybrid systems of the form (1).…”

Section: Particularly If System (1) With U(t) ≡ 0 Under Hypotheses (mentioning

confidence: 99%

“…For these purposes, we use the concepts of non-uniform in time Robust Global Asymptotic Output Stability (RGAOS, see [8][9][10][11]), which is the "natural" extension of the notions of Uniform RGAOS for autonomous finite-dimensional continuous-time systems (see [7,35,36]). It should be emphasized that the construction of the feedback law (4) is based directly on the open-loop controls that lead the output of (3) to zero and does not rely on the knowledge of a CLF for (3).…”

Section: Introductionmentioning

confidence: 99%

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Stabilization by Means of Time-varying Hybrid Feedback

Karafyllis

2006

Math. Control Signals Syst.

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Section: Particularly If System (1) With U(t) ≡ 0 Under Hypotheses (mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stabilization by Means of Time-varying Hybrid Feedback

Karafyllis

2006

Math. Control Signals Syst.

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“…At present, the theory of "input-to-output" stability in the state space is developing intensively [305,301,306,302,189,307,303,222].…”

Section: Relationship With Other Stability Problemsmentioning

confidence: 99%

“…Modified theorems of the Lyapunov functions method are applied to study the stability of noncompact (closed but not bounded) sets [325,242,313], in two measures [235,234], and "inputto-output" stability [307,222].…”

Section: Theorem 9 ([86]) For System (21) If a Vector Function V(tmentioning

confidence: 99%

Partial stability and control: The state-of-the-art and development prospects

Vorotnikov¹

2005

Autom Remote Control

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Problems in bordering fields associated with partial stability and stabilization of nonlinear dynamic systems, including partial stability and stabilization by part of coordinates of the phase vector, are reviewed. They are classified, and their relation with other stability and stabilization problems, including recent ones, are considered. Main development trends in theory and research methods are surveyed and certain results and applications are described. The partial control notion in border disciplines is examined. A long list of references is given.

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“…Sontag for finite-dimensional systems in [25] and was proved to be useful in many areas of mathematics (Mathematical Control Theory, Dynamical Systems Theory). Various sufficient conditions for ISS were given in [26,27,29] and extensions to continuous-time systems with outputs and discrete-time systems were considered in [7][8][9]31,32].…”

Section: Introductionmentioning

confidence: 99%

A system-theoretic framework for a wide class of systems II: Input-to-output stability

Karafyllis

2007

Journal of Mathematical Analysis and Applications

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In this work characterizations of the notion of Weighted Input-to-Output Stability (WIOS) for a wide class of systems with disturbances are given. Particularly, for systems with continuous dependence of the solution on the initial state and the input, the WIOS property is shown to be equivalent to robust forward completeness from the input and robust global asymptotic output stability for the corresponding input-free system.

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On Input-to-Output Stability for Systems not Uniformly Bounded

Cited by 25 publications

References 15 publications

Stabilization by Means of Time-varying Hybrid Feedback

Stabilization by Means of Time-varying Hybrid Feedback

Partial stability and control: The state-of-the-art and development prospects

A system-theoretic framework for a wide class of systems II: Input-to-output stability

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