Results 41 to 50 of about 1,347,569 (186)
Robust Stability of Global Attractors for Evolutionary Systems without Uniqueness
Journal of Optimization, Differential Equations and Their Applications, 2022 We establish the local input-to-state stability of multi-valued evolutionary systems with bounded disturbances with respect to the global attractor of the respective undisturbed system. We apply obtained results to disturbed reaction-diffusion equation.
Oleksiy V. Kapustyan +3 more
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Bohl-Perron type stability theorems for linear difference equations with infinite delay
, 2010 Relation between two properties of linear difference equations with infinite delay is investigated: (i) exponential stability, (ii) $\l^p$-input $\l^q$-state stability (sometimes is called Perron's property).
Berezansky L. +8 more
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Input-to-State Stability of Nonlinear Impulsive Systems [PDF]
SIAM Journal on Control and Optimization, 2013 We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition. If an ISS Lyapunov function is the exponential one, we provide a stronger result, which guarantees uniform ISS of the whole system over sequences satisfying the generalized average dwell-time condition.
Sergey Dashkovskiy, Andrii Mironchenko
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A graph theoretic approach to input-to-state stability of switched systems
, 2015 This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS.
Chatterjee, Debasish, Kundu, Atreyee
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Input/Output-to-State Stability of Impulsive Switched Systems With Time Delays
IEEE Access, 2019 In this paper, we study the input/output-to-state stability (IOSS) of impulsive switched systems with time delays, where the derivative of Lyapunov functions are assumed to be time-varying and mode-dependent.
Taixiang Zhang, Xiaodi Li
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IET Control Theory & Applications, 2022 This paper proposes for the first time the theoretical requirements that a fractional‐order bilinear system with conformable derivative has to fulfil in order to satisfy different input‐to‐state stability (ISS) properties.
Hasan Abbasi Nozari +2 more
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A Convex Approach to Hydrodynamic Analysis
, 2015 We study stability and input-state analysis of three dimensional (3D) incompressible, viscous flows with invariance in one direction. By taking advantage of this invariance property, we propose a class of Lyapunov and storage functionals.
Ahmadi, Mohamadreza +2 more
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A family of asymptotically stable control laws for flexible robots based on a passivity approach [PDF]
, 1991 A general family of asymptotically stabilizing control laws is introduced for a class of nonlinear Hamiltonian systems. The inherent passivity property of this class of systems and the Passivity Theorem are used to show the closed-loop input/output ...
Lanari, Leonardo, Wen, John T.
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Input-to-state stability on formation graphs
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003 Formation stability is now analyzed under a new prism using input-to-state stability (ISS). Formation ISS relates leader input to internal state of the formation and characterizes the way this input affects stability performance. Compared to other notions of stability for interconnected systems, formation ISS does not require attenuation of errors as ...
Herbert G. Tanner +2 more
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SICE Journal of Control, Measurement, and System Integration, 2021 In this study, we address limitations of the existing methods of disturbance attenuation for nonlinear control systems. We focus on scenarios with trajectory tracking in differentially flat systems.
Yasuhiro Fujii, Hisakazu Nakamura
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